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| author | Roger Frank <rfrank@pglaf.org> | 2025-10-15 04:38:20 -0700 |
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diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000..6833f05 --- /dev/null +++ b/.gitattributes @@ -0,0 +1,3 @@ +* text=auto +*.txt text +*.md text diff --git a/11906-0.txt b/11906-0.txt new file mode 100644 index 0000000..b4ad1e1 --- /dev/null +++ b/11906-0.txt @@ -0,0 +1,3467 @@ +*** START OF THE PROJECT GUTENBERG EBOOK 11906 *** + +FOUR-DIMENSIONAL +VISTAS + +by + +Claude Bragdon + +[Illustration] + +New York + + + + "_Perception has a destiny_." + _Emerson_. + + + + +INTRODUCTION + +There are two notable emancipations of the mind from the tyranny of +mere appearances that have received scant attention save from +mathematicians and theoretical physicists. + +In 1823 Bolyai declared with regard to Euclid's so-called axiom of +parallels, "I will draw two lines through a given point, both of +which will be parallel to a given line." The drawing of these lines +led to the concept of the curvature of space, and this to the idea +of _higher_ space. + +The recently developed Theory of Relativity has compelled the +revision of the time concept as used in classical physics. One +result of this has been to introduce the notion of _curved_ time. + +These two ideas, of curved time and higher space, by their very +nature are bound to profoundly modify human thought. They loosen the +bonds within which advancing knowledge has increasingly labored, +they lighten the dark abysses of consciousness, they reconcile the +discoveries of Western workers with the inspirations of Eastern +dreamers; but best of all, they open vistas, they offer "glimpses +that may make us less forlorn." + + + + +CONTENTS + + +I. THE QUEST OF FREEDOM + +The Undiscovered Country--Miracles--The Failure of Common Sense--The +Function of Science--Mathematics--Intuition--Our Sense of Space--The +Subjectivity of Space--The Need of an Enlarged Space-Concept. + +II. THE DIMENSIONAL LADDER + +Learning to Think in Terms of Spaces--From the Cosmos to the +Corpuscle--And Beyond--Evolution as Space-Conquest--Dimensional +Sequences--Man the Geometer--Higher, and Highest, Space. + +III. PHYSICAL PHENOMENA + +Looking for the Greater in the Less--Symmetry--Other Allied +Phenomena--Isomerism--The Orbital Motion of Spheres: Cell-Subdivision-- +The Electric Current--The Greater Universe--A Hint from Astronomy-- +Gravitation--The Ether of Space. + +IV. TRANSCENDENTAL PHYSICS + +Zöllner--Apparitions--Possession--Clairvoyance in Space--Clairvoyance +in Time--Pisgah Sights of Life's Pageant. + +V. CURVED TIME + +Time from the Standpoint of Experiment and of Conscious Experience-- +Relativity--The Spoon-Man--The Orbital Movement of Time--Materiality +the Mirror of Consciousness--Periodicity. + +VI. SLEEP AND DREAMS + +Sleep--Dreams--Time in Dreams--The Eastern Teaching in regard to Sleep +and Dreams--Space in Dreams--The Phenomenon of Pause. + + +VII. THE NIGHT SIDE OF CONSCIOUSNESS + +The Field of Psychic Research--Modifying the Past--Karma and +Reincarnation--Colonel De Rochas' Experiments. + +VIII. THE EASTERN TEACHING + +Oriental Physics and Metaphysics--The Self-Recovered Memory of past +Births--Release. + +IX. THE MYSTICS + +Hermes Trismegistus--The Page and the Press--The Ship and its +Captain--Direct Vision--Plato's Shadow-Watchers--Swedenborg--Man, +the Space-Eater--The Within and Without--Intuition and Reason--The +Coil of Life. + +X. GENIUS + +Immanence--Timelessness--Beyond Good and Evil: Beauty--The Daemonic-- +"A Dream and a Forgetting"--The Play of Brahm. + +XI. THE GIFT OF FREEDOM + +Concept and Conduct--Selflessness--Humility--Solidarity--Live Openly-- +Non-Resistance to Evil--The Immanent Divine. + + + + + +FOUR-DIMENSIONAL VISTAS + + + +I THE QUEST OF FREEDOM + + +THE UNDISCOVERED COUNTRY + +Expectancy of freedom is the dominant note of to-day. Amid the crash +of armies and the clash of systems we await some liberating stroke +which shall release us from the old dreary thralldoms. As Nietzsche +says, "It would seem as though we had before us, as a reward for all +our toils, a country still undiscovered, the horizons of which no +one has yet seen, a beyond to every country and every refuge of the +ideal that man has ever known, a world so overflowing with beauty, +strangeness, doubt, terror and divinity, that both our curiosity and +our lust of possession are frantic with eagerness." + +Should a name be demanded for this home of freedom, there are those +who would unhesitatingly call it _The Fourth Dimension of Space_. +For such readers as may be ignorant of the amazing content of this +seemingly meaningless phrase, any summary attempt at enlightenment +will lead only to deeper mystification. To the question, where and +what is the fourth dimension, the answer must be, it is here--in us, +and all about us--in a direction toward which we can never point +because at right angles to all the directions that we know. Our +space cannot contain it, because it contains our space. No walls +separate us from this demesne, not even the walls of our fleshly +prison; yet we may not enter, even though we are already "there." It +is the place of dreams, of living dead men: it is _At the Back of +the North Wind_ and _Behind the Looking Glass_. + +So might one go on, piling figure upon figure and paradox upon +paradox, to little profit. The effective method is the ordered and +deliberate one; therefore the author asks of his reader the +endurance of his curiosity pending certain necessary preparations of +the mind. + + +MIRACLES + +Could one of our aviators have landed in ancient Athens, doubtless +he would have been given a place in the Greek Pantheon, for the old +idea of a demigod was a man with wings. Why, then, does a flying man +so little amaze us? Because we know about engines, and the smell of +gasoline has dulled our sense of the sublime. The living voice of a +dead man leaves us unterrified if only we can be sure that it comes +from a phonograph; but let that voice speak to us out of vacancy and +we fall a prey to the same order of alarm that is felt by a savage +at the report of a gun that he has never seen. + +This illustration very well defines the nature of a miracle: it is a +manifestation of power new to experience, and counter to the current +thought of the time, Miracles are therefore always in order, they +always happen. It is nothing that the sober facts of to-day are more +marvellous than the fictions of Baron Munchausen, so long as we +understand them: it is everything that phenomena are multiplying, +that we are unable to understand. This increasing pressure upon +consciousness _from a new direction_ has created a need to found +belief on something firmer than a bottomless gullibility of mind. +This book is aimed to meet that need by giving the mind the freedom +of new spaces; but before it can even begin to do so, the reader +must be brought to see the fallacy of attempting to measure the +limits of the possible by that faculty known as common sense. And by +common sense is meant, not the appeal to abstract reason, but to +concrete experience. + + +THE FAILURE OF COMMON SENSE + +Common sense had scarce had its laugh at Bell, and its shout of +"I told you so!" at poor Langley, when lo! the telephone became the +world's nervous system, and aeroplanes began to multiply like summer +flies. To common sense the alchemist's dream of transmuting lead +into gold seems preposterous, yet in a hundred laboratories radium +is breaking down into helium, and the new chemistry bids fair to +turn the time-honored jeer at the alchemists completely upside down. +A wife whose mind was oriented in the new direction effectually +silenced her husband's ridicule of what he called her credulity by +reminding him that when wireless telegraphy was first suggested he +had exclaimed, "Ah, that, you know, is one of the things that is not +possible!" He was betrayed by his common sense. + +The lessons such things teach us are summed up in the reply of Arago, +the great savant, to the wife of Daguerre. She asked him if he +thought her husband was losing his mind because he was trying to +make permanent the image in a mirror. Arago is said to have answered, +"He who, outside of pure mathematics, says a thing is impossible, +speaks without reason." + +Common sense neither leads nor lags, but is ever limited to the +passing moment: the common knowledge of to-day was the mystery and +enchantment of the day before yesterday, and will be the mere +commonplace of the day after to-morrow. If common sense can so +little anticipate the ordinary and orderly advancement of human +knowledge, it is still less able to take that leap into the dark +which is demanded of it now. The course of wisdom is therefore to +place reliance upon reason and intuition, leaving to common sense +the task of guiding the routine affairs of life, and guiding these +alone. + + +THE FUNCTION OF SCIENCE + +In enlisting the aid of reason in our quest for freedom, we shall be +following in the footsteps of mathematicians and theoretical +physicists. In their arduous and unflinching search after truth they +have attained to a conception of the background of phenomena of far +greater breadth and grandeur than that of the average religionist of +to-day. As a mathematician once remarked to a neo-theosophist, +"Your idea of the ether is a more material one than the materialist's +own." Science has, however, imposed upon itself its own limitations, +and in this connection these should be clearly understood. + +Science is that knowledge which can be gained by exact observation +and correct thinking. If science makes use of any methods but these +it ceases to be itself. Science has therefore nothing to do with +morals: it gives the suicide his pistol, the surgeon his life-saving +lance, but neither admonishes nor judges them. It has nothing to do +with emotion: it exposes the chemistry of a tear, the mechanism of +laughter; but of sorrow and happiness it has naught to say. It has +nothing to do with beauty: it traces the movements of the stars, and +tells of their constitution; but the fact of their singing together, +and that "such harmony is in immortal souls," it leaves to poet and +philosopher. The timbre, loudness, pitch, of musical tones, is a +concern of science; but for this a Beethoven symphony is no better +than the latest ragtime air from the music halls. In brief, science +deals only with _phenomena_, and its gift to man is power over his +material environment. + + +MATHEMATICS + +The gift of pure mathematics, on the other hand, is primarily to the +mind and spirit: the fact that man uses it to get himself out of his +physical predicaments is more or less by the way. Consider for a +moment this paradox. Mathematics, the very thing common sense swears +by and dotes on, contradicts common sense at every turn. Common +sense balks at the idea of _less than nothing_; yet the _minus_ +quantity, which in one sense is less than nothing in that something +must be added to it to make it equal to nothing, is a concept +without which algebra would have to come to a full stop. Again, the +science of quaternions, or more generally, a vector analysis in +which the progress of electrical science is essentially involved, +embraces (explicitly or implicitly) the extensive use of _imaginary_ +or _impossible_ quantities of the earlier algebraists. The very +words "imaginary" and "impossible" are eloquent of the defeat of +common sense in dealing with concepts with which it cannot +practically dispense, for even the negative or imaginary solutions +of imaginary quantities almost invariably have some physical +significance. A similar statement might also be made with regard to +_transcendental_ functions. + +Mathematics, then, opens up ever new horizons, and its achievements +during the past one hundred years give to thought the very freedom +it seeks. But if science is dispassionate, mathematics is even more +austere and impersonal. It cares not for teeming worlds and hearts +insurgent, so long as in the pure clarity of space, relationships +exist. Indeed, it requires neither time nor space, number nor +quantity. As the mathematician approaches the limits already +achieved by study, the colder and thinner becomes the air and the +fewer the contacts with the affairs of every day. The Promethean +fire of pure mathematics is perhaps the greatest of all in man's +catalogue of gifts; but it is not most itself, but least so, when, +immersed in the manifoldness of phenomenal life, it is made to serve +purely utilitarian ends. + + +INTUITION + +Common sense, immersed in the mere business of living, knows no more +about life than a fish knows about water. The play of reason upon +phenomena dissects life, and translates it in terms of inertia. The +pure logic of mathematics ignores life and disdains its limitations, +leading away into cold, free regions of its own. Now our desire for +freedom is not to vibrate in a vacuum, but to live more abundantly. +_Intuition_ deals with life directly, and introduces us into +life's own domain: it is related to reason as flame is related to +heat. All of the great discoveries in science, all of the great +solutions in mathematics, have been the result of a _flash_ of +intuition, after long brooding in the mind. _Intuition illumines_. +Intuition is therefore the light which must guide us into that +undiscovered country conceded by mathematics, questioned by science, +denied by common sense--_The Fourth Dimension of Space_. + + +OUR SENSE OF SPACE + +Space has been defined as "room to move about." Let us accord to +this definition the utmost liberty of interpretation. Let us +conceive of space not alone as room to move ponderable bodies in, +but as room to think, to feel, to strike out in unimaginable +directions, to overtake felicities and knowledges unguessed by +experience and preposterous to common sense. Space is not measurable: +we attribute dimensionality to space because such is the method of +the mind; and that dimensionality we attribute to space is +progressive because progression is a law of the mind. The so-called +dimensions of space are to space itself as the steps that a climber +cuts in the face of a cliff are to the cliff itself. They are not +necessary to the cliff: they are necessary only to the climber. +Dimensionality is the mind's method of mounting to the idea of the +infinity of space. When we speak of the fourth dimension, what we +mean is the fourth stage in the apprehension of that infinity. We +might as legitimately speak of a fifth dimension, but the +profitlessness of any discussion of a fifth and higher stages lies +in the fact that they can be intelligently approached only through +the fourth, which is still largely unintelligible. The case is like +that of a man promised an increase of wages after he had worked a +month, who asks for his second month's pay before he is entitled to +the first. + + +THE SUBJECTIVITY OF SPACE + +Without going deep into the doctrine of the ideality--that is, the +purely subjective reality--of space, it is easy to show that we have +arrived at our conception of a space of three dimensions by an +intellectual process. The sphere of the senses is two-dimensional: +except for the slight aid afforded by binocular vision, sight gives +us moving pictures _on a plane_, and touch contacts _surfaces_ only. +What circumstances, we may ask, have compelled our intellect to +conceive of _solid_ space? This question has been answered as follows: + +"If a child contemplates his hand, he is conscious of its existence +in a double manner--in the first place by its tangibility, the +second by its image on the retina of his eye. By repeated groping +about and touching, the child knows by experience that his hand +retains the same form and extension through all the variations of +distance and position under which it is observed, notwithstanding +that the form and extension of the image on the retina constantly +change with the different position and distance of his hand in +respect to his eye. The problem is thus set to the child's +understanding: how to reconcile to his comprehension the apparently +contradictory facts of the _invariableness_ of the object together +with the _variableness_ of its appearance. This is only possible +within a space of three dimensions, in which, owing to perspective +distortions and changes, these variations of projection can be +reconciled with the constancy of the form of a body." + +Thus we have come to the idea of a three-dimensional space in order +to overcome the apparent contradictoriness of facts of sensible +experience. Should we observe in three-dimensional space +contradictory facts our reason would be forced to reconcile these +contradictions, also, and if they could be reconciled by the idea of +a four-dimensional space our reason would accept this idea without +cavil. Furthermore, if from our childhood, phenomena had been of +daily occurrence requiring a space of four or more dimensions for an +explanation conformable to reason, we should feel ourselves native +to a space of four or more dimensions. + +Poincaré, the great French mathematician and physicist, arrived at +these same conclusions by another route. By a process of +mathematical reasoning of a sort too technical to be appropriately +given here, he discovers an order in which our categories range +themselves naturally, and which corresponds with the points of space; +and that this order presents itself in the form of what he calls a +"three circuit distribution board." "Thus the characteristic property +of space," he says, "that of having three dimensions, is only a +property of our distribution board, _a property residing, so to speak, +in human intelligence_." He concludes that a different association +of ideas would result in a different distribution board, and that +might be sufficient to endow space with a fourth dimension. He +concedes that there may be thinking beings, living in our world, +whose distribution board has four dimensions, and who do +consequently think in hyperspace. + + +THE NEED OF AN ENLARGED SPACE-CONCEPT + +It is the contrariety in phenomena already referred to, that is +forcing advanced minds to entertain the idea of higher space. +Mathematical physicists have found that experimental contradictions +disappear if, instead of referring phenomena to a set of three space +axes and one time axis of reference, they be referred to a set of +four interchangeable axes involving four homogeneous co-ordinates. +In other words, _time_ is made the fourth dimension. Psychic +phenomena indicate that occasionally, in some individuals, +the will is capable of producing physical movements for whose +geometrico-mathematical definition a four-dimensional system of +co-ordinates is necessary. This is only another step along the road +which the human mind has always travelled: our conception of the +cosmos grows more complete and more just at the same time that it +recedes more and more beneath the surface of appearances. + +Far from the Higher Space Hypothesis complicating thought, it +simplifies by synthesis and co-ordination in a manner analogous to +that by which plane geometry is simplified when solid geometry +becomes a subject of study. By immersing the mind in the idea of +many dimensions, we emancipate it from the idea of dimensionality. +But the mind moves most readily, as has been said, in ordered +sequence. Frankly submitting ourselves to this limitation, even +while recognizing it as such, let us learn such lessons from it as +we can, serving the illusions that master us until we have made them +our slaves. + + + + +II THE DIMENSIONAL LADDER + + +LEARNING TO THINK IN TERMS OF SPACES + +The Reader who is willing to consider the Higher Space Hypothesis +seriously, who would discover, by its aid, new and profound truths +closely related to life and conduct, should first of all endeavor to +arouse in himself a new power of perception. This he will best +accomplish by learning to discern dimensional sequences, not alone +in geometry, but in the cosmos and in the natural world. By so doing +he may erect for himself a veritable Jacob's ladder, + + "Pitched between Heaven and Charing Cross." + +He should accustom himself to ascend it, step by step, dimension by +dimension. Then he will learn to trust Emerson's dictum, "Nature +geometrizes," even in regions where the senses fail him, and the mind +alone leads on. Much profitable amusement is to be gained by such +exercises as follow. They are in the nature of a running up and down +the scales in order to give strength and flexibility to a new set of +mental fingers. Learning to think in terms of spaces contributes to +our emancipation from the tyranny of space. + + +FROM THE COSMOS TO THE CORPUSCLE + +By way of a beginning, proceed, by successive stages, from the +contemplation of the greatest thing conceivable to the contemplation +of the most minute, and note the space sequences revealed by this +shifting of the point of view. + +The greatest thing we can form any conception of is the starry +firmament made familiar to the mind through the study of astronomy. +No limit to this vastitude has ever been assigned. Since the +beginning of recorded time, the earth, together with the other +planets and the sun, has been speeding through interstellar space at +the rate of 300,000,000 miles a year, without meeting or passing a +single star. A ray of light, travelling with a velocity so great as +to be scarcely measurable within the diameter of the earth's orbit, +takes years to reach even the nearest star, centuries to reach those +more distant. Viewed in relation to this universe of suns, our +particular sun and all its satellites--of which the earth is +one--shrinks to a point (a _physical_ point, so to speak--not +geometrical one). + +The mind recoils from these immensities: let us forsake them, then, +for more familiar spaces, and consider the earth in its relation to +the sun. Our planet appears as a _moving_ point, tracing out a +_line_--a _one-space_--its path around the sun. Now let us remove +ourselves in imagination only far enough from the earth for human +beings thereon to appear as minute moving things, in the semblance, +let us say, of insects infesting an apple. It is clear that from +this point of view these beings have a freedom of movement in their +"space" (the surface of the earth), of which the larger unit is not +possessed; for while the earth itself can follow only a _line_, its +inhabitants are free to move in the two dimensions of the surface of +the earth. + +Abandoning our last coign of vantage, let us descend in imagination +and mingle familiarly among men. We now perceive that these +creatures which from a distance appeared as though flat upon the +earth's surface, are in reality erect at right angles to its plane, +and that they are endowed with the power to move their members in +_three dimensions_. Indeed, man's ability to traverse the surface +of the earth is wholly dependent upon his power of three-dimensional +movement. Observe that with each transfer of our attention from +greater units to smaller, we appear to be dealing with a power of +movement in an additional dimension. + +Looking now in thought not _at_ the body of man, but _within_ it, we +apprehend an ordered universe immensely vast in proportion to that +physical ultimate we name the electron, as is the firmament immensely +vast in proportion to a single star. It has been suggested that in +the infinitely minute of organic bodies there is a power of movement +in a _fourth_ dimension. If so, such four-dimensional movement may +be the proximate cause of the phenomenon of _growth_--of those +chemical changes and renewals whereby an organism is enabled to +expand in three-dimensional space, just as by a three-dimensional +power of movement (the act of walking) man is able to traverse his +two-dimensional space--the surface of the earth. + + +--AND BEYOND + +Proceed still further. Behind such organic change--assumed to be +four-dimensional--there is the determination of some _will-to-live_, +which manifests itself to consciousness as thought and as desire. +Into these the idea of space does not enter: we think of them as in +_time_. But if there are developments of other dimensions of space, +thought and emotion may themselves be discovered to have space +relations; that is, they may find expression in the forms of _higher_ +spaces. Thus is opened up one of those rich vistas in which the +subject of the fourth dimension abounds, but into which we +can only glance in passing. If there are such higher-dimensional +_thought-forms_, our normal consciousness, limited to a world of +three dimensions, can apprehend only their three-dimensional aspects, +and these not simultaneously, but successively--that is, in _time_. +According to this view, any unified series of _actions_--for example, +the life of an individual, or of a group--would represent the +straining, so to speak, of a thought-form through our _time_, as the +bodies subject to these actions would represent its straining +through our space. + + +EVOLUTION AS SPACE-CONQUEST + +Evolution is a struggle for, and a conquest of, space; for evolution, +as the word implies, is a _drawing out_ of what is inherent from +latency into objective reality, or in other words into spatial--and +temporal--extension. + +This struggle for space, by means of which the birth and growth of +organisms is achieved, is the very texture of life, the plot of +every drama. Cells subdivide; micro-organisms war on one another; +plants contend for soil, light, moisture; flowers cunningly suborn +the bee to bring about their nuptials; animals wage deadly warfare +in their rivalry to bring more hungry animals into a space-hungry +world. Man is not exempt from this law of the jungle. Nations +intrigue and fight for land--of which wealth is only the symbol--and +a nation's puissance is measured by its power to push forward into +the territory of its neighbor. The self-same impulse drives the +individual. One measure of the difference between men in the matter +of efficiency is the amount of space each can command: one has a +house and grounds in some locality where every square inch has an +appreciable value; another some fractional part of a lodging house +in the slums. When this bloodless, but none the less deadly, contest +for space becomes acute, as in the congested quarters of great cities, +man's ingenuity is taxed to devise effective ways of augmenting his +_space-potency_, and he expands in a vertical direction. This +third-dimensional extension, typified in the tunnel and in the +skyscraper, is but the latest phase of a conquest of space which +began with the line of the pioneer's trail through an untracked +wilderness. + + +DIMENSIONAL SEQUENCES + +Not only does nature everywhere geometrize, but she does so in a +particular way, in which we discover dimensional sequences. Consider +the transformation of solid, liquid, gas, from one to another, under +the influence of heat. A solid, set in free motion, can follow only +a _line_--as is the case of a thrown ball. A liquid has the added +power of lateral extension. Its tendency, when intercepted, is to +spread out in the two dimensions of a _plane_--as in the case of a +griddle cake; while a gas expands universally in all directions, as +shown by a soap-bubble. It is a reasonable inference that the fourth +state of matter, the corpuscular, is affiliated to some +four-dimensional manner of extension, and that there may be states +beyond this, involving even higher development of space. + +Next glance at the vegetable kingdom. The seed, a _point_, generates +a _line_ system, in stem, branches, twigs, from which depend _planes_ +in the form of leaves and flowers, and from these come fruit, +_solids_. + + "The point, the line, the surface and the sphere, + In seed, stem, leaf and fruit appear." + +A similar sequence may be noted within the body: the _line_-network +of the nerves conveys the message of sensation from the _surface_ of +the body to some center in the _solid_, of the brain--and thence to +the Silent Thinker, "he who is without and within," or in terms of +our hypothesis, "he who dwells in higher space." + + +MAN THE GEOMETER + +When man essays the rôle of creator he cannot do otherwise than +follow similar sequences: it is easy to discern dimensional +progression in the products of man's ingenuity and skill. Consider, +for example, the evolution of a building from its inception to its +completion. It exists first of all in the mind of the architect, and +there it is indubitably higher-spatial, for he can interpenetrate +and examine every part, and he can consider it all at once, viewing +it simultaneously from without and from within, just as one would be +able to do in a space of four dimensions. He begins to give his idea +physical embodiment by making with a pencil-_point, lines_ on a +_plane_ (a piece of paper), the third dimension being represented +by means of the other two. Next (if he is careful and wise) he makes +a three-dimensional model. From the architect's drawings the engineer +establishes his points, lays out his angles, and runs his lines upon +the site itself. The mason follows, and with his footing courses +makes ponderable and permanent the lines of the engineer. These +lines become in due course walls--vertical planes. Floors and +roofs--horizontal planes--follow, until some portion of +three-dimensional space has been enclosed. + +Substantially the same sequence holds, whatever the kind of building +or the character of the construction--whether a steel-framed +skyscraper or a wooden shanty. A line system, represented by columns +and girders in the one case, and by studs and rafters in the other, +becomes, by overlay or interposition, a system of planes, so +assembled and correlated as to define a solid. + +With nearly everything of man's creating--be it a bureau or a +battleship--the process is as above described. First, a pattern to +scale; next, an actual linear framework; then planes defining a solid. +Consider almost any of the industries practiced throughout the ages: +they may be conceived of thus in terms of dimensions; for example, +those ancient ones of weaving and basket making. _Lines_ (threads in +the one case, rushes in the other) are wrought into _planes_ to +clothe a body or to contain a burden. Or think, if you choose, of +the modern industry of book-making, wherein types are assembled, +impressed upon sheets of paper, and these bound into volumes-- +_points, lines, planes, solids_. The book in turn becomes the unit +of another dimensional order, in the library whose serried shelves +form lines, which, combined into planes, define the lateral limits +of the room. + + +HIGHER--AND HIGHEST--SPACE + +These are truisms. What have they to do, it may be asked, with the +idea of _higher_ spaces? They have everything to do with it, for in +achieving the enclosure of any portion of solid space the limit of +known dimensions has been reached without having come to any end. +More dimensions--higher spaces--are required to account for higher +things. All of the products of man's ingenuity are inanimate except +as he himself animates them. They remain as they were made, machines, +not organisms. They have no inherent life of their own, no power of +growth and renewal. In this they differ from animate creation +because the highest achievement of the creative faculty in man in a +mechanical way lacks the life principle possessed by the plant. And +as the most perfect machine is inferior in this respect to the +humblest flower that grows, so is the highest product of the +vegetable kingdom inferior to man himself, the maker of the machine; +for he can reflect upon his own and the world's becoming, while the +plant can only become. + +What is the reason for these differences of power and function? +According to the Higher Space Hypothesis they are due to varying +potencies of movement in the secret causeways and corridors of space. +The higher functions of consciousness--volition, emotion, +intellection--may be in some way correlated with the higher powers +of numbers, and with the corresponding higher developments of space. +Thus would the difference between physics and metaphysics become a +difference of degree and not of kind. Evolution is to be conceived +of as a continuous pushing back of the boundary between +representation and reality, or as a conquest of space. We may +conceive of space as of an infinite number of dimensions, and of +consciousness as a moving--or rather as an expanding--point, +embracing this infinity, involving worlds, powers, knowledges, +felicities, within itself in everlasting progression. + + + + +III PHYSICAL PHENOMENA + + +LOOKING FOR THE GREATER IN THE LESS + +After the assured way in which the author has conducted the reader +repeatedly up and down the dimensional ladder, it may be a surprise +to learn that physical phenomena offer no irrefragable evidences of +hyper-dimensionality. We could not think in higher space if +consciousness were limited to three dimensions. The mathematical +reality of higher space is never in question: the higher dimensions +are as valid as the lower, but the hyper-dimensionality of matter is +still unproven. Man's ant-like efforts to establish this as a truth +have thus far been vain. + +Lest this statement discourage the reader at the very outset, he +should understand the reason for such failure. We are _embedded_ in +our own space, and if that space be embedded in higher space, how are +we going to discover it? If space is curved, how are we going to +measure its curvature? Our efforts to do so may be compared to +measuring the distance between the tips of a bent bow by measuring +along the bow instead of along the string. + +Imagine a scientifically-minded threadworm to inhabit a page of +Euclid's solid geometry: the evidences of three-dimensionality are +there, in the very diagrams underneath his eyes; but you could not +_show_ him a solid--the flat page could not contain it, any more +than our space can contain a form of four dimensions. You could only +say to him, "These lines _represent_ a solid." He would have to +depend on his _faith_ for belief and not on that "knowledge gained +by exact observation and correct thinking" in which alone the +scientist finds a sure ground for understanding. + +It is an axiom of science never to look outside three-space horizons +for an understanding of phenomena when these can logically be +accounted for within those horizons. Now because, on the Higher +Space Hypothesis, each space is the container of all phenomena of +its own order, the futility, for practical purposes, of going +outside is at once apparent. The highly intelligent threadworm +neither knows nor cares that the point of intersection of two lines +in his diagram _represents_ a point in a space to which he is a +stranger. The point is there, on his page: it is what he calls a +_fact_. "Why raise" (he says) "these puzzling and merely academic +questions? Why attempt to turn the universe completely upside down?" + +But though no _proofs_ of hyper-dimensionality have been found in +nature, there are equally no contradictions of it, and by using a +method not inductive, but deductive, the Higher Space Hypothesis +is plausibly confirmed. Nature affords a sufficient number of +_representations_ of four-dimensional forms and movements to justify +their consideration. + + +SYMMETRY + +Let us first flash the light of our hypothesis upon an all but +universal characteristic of living forms, yet one of the most +inexplicable--_symmetry_. + +Animal life exhibits the phenomenon of the right-and left-handed +symmetry of solids. This is exemplified in the human body, wherein +the parts are symmetrical with relation to the axial _plane_. +Another more elementary type of symmetry is characteristic of the +vegetable kingdom. A leaf in its general contour is symmetrical: +here the symmetry is about a _line_--the midrib. This type of +symmetry is readily comprehensible, for it involves simply a +revolution through 180 degrees. Write a word on a piece of paper and +quickly fold it along the line of writing so that the wet ink +repeats the pattern, and you have achieved the kind of symmetry +represented in a leaf. + +With the symmetry of solids, or symmetry with relation to an axial +_plane_, no such simple movement as the foregoing suffices to +produce or explain it, because symmetry about a plane implies +_four-dimensional_ movement. It is easy to see why this must be so. +In order to achieve symmetry in any space--that is, in any given +number of dimensions--there must be revolution in the next higher +space: one more dimension is necessary. To make the (two-dimensional) +ink figure symmetrical, it had to be folded over _in the third +dimension_. The revolution took place about the figure's _line_ of +symmetry, and in a _higher_ dimension. In _three_-dimensional +symmetry (the symmetry of solids) revolution must occur about the +figure's _plane_ of symmetry, and in a higher--i.e., the _fourth_ +dimension. Such a movement we can reason about with mathematical +definiteness: we see the result in the right- and left-handed +symmetry of solids, but we cannot picture the movement ourselves +because it involves a space of which our senses fail to give any +account. + +Now could it be shown that the two-dimensional symmetry observed in +nature is the result of a three-dimensional movement, the right-and +left-handed symmetry of solids would by analogy be the result of a +_four_-dimensional movement. Such revolution (about a plane) would +be easily achieved, natural and characteristic, in four space, just +as the analogous movement (about a line) is easy, natural, and +characteristic, in our space of three dimensions. + + +OTHER ALLIED PHENOMENA + +In the mirror image of a solid we have a representation of what +would result from a four-dimensional revolution, the surface of the +mirror being the plane about which the movement takes place. If such +a change of position were effected in the constituent parts of a +body as a mirror image of it _represents_, the body would have +undergone a revolution in the fourth dimension. Now two varieties of +tartaric acid crystallize in forms bearing the relation to one +another of object to mirror image. It would seem more reasonable to +explain the existence of these two identical, but reversed, +varieties of crystal, by assuming the revolution of a single variety +in the fourth dimension, than by any other method. + +There are two forms of sugar found in honey, dextrose and levulose. +They are similar in chemical constitution, but the one is the +reverse of the other when examined by polarized light--that is, they +rotate the plane of polarization of a ray of light in opposite ways. +If their atoms are conceived to have the power of motion in the +fourth dimension, it would be easy to understand why they differ. +Certain snails present the same characteristics as these two forms +of sugar. Some are coiled to the right and others to the left; and +it is remarkable that, like dextrose and levulose, their juices are +optically the reverse of each other when studied by polarized light. + +Revolution in the fourth dimension would also explain the change in +a body from producing a right-handed, to producing a left-handed, +polarization of light. + + +ISOMERISM + +In chemistry the molecules of a compound are assumed to consist of +the atoms of the elements contained in the compound. These atoms are +supposed to be at certain distances from one another. It sometimes +happens that two compound substances differ in their chemical or +physical properties, or both, even though they have like chemical +elements in the same proportion. This phenomenon is called isomerism, +and the generally accepted explanation is that the atoms in isomeric +molecules are differently arranged, or grouped, in space. It is +difficult to imagine how atoms, alike in number, nature, and +relative proportion, can be so grouped as somehow to produce +compounds with different properties, particularly as in +three-dimensional space four is the greatest number of points whose +mutual distances, six in number, are all independent of each other. +In four-dimensional space, however, the _ten_ equal distances +between any two of _five_ points are geometrically independent, thus +greatly augmenting the number and variety of possible arrangements +of atoms. + +This just escapes being the kind of proof demanded by science. If +the independence of all the possible distances between the atoms of +a molecule is absolutely required by theoretical chemical research, +then science is really compelled, in dealing with molecules of more +than four atoms, to make use of the idea of a space of more than +three dimensions. + + +THE ORBITAL MOTION OF SPHERES: CELL SUB-DIVISION + +There is in nature another representation of hyper-dimensionality +which, though difficult to demonstrate, is too interesting and +significant to be omitted here. + +Imagine a helix, intersected, in its vertical dimension, by a moving +plane. If necessary to assist the mind, suspend a spiral spring +above a pail of water, then raise the pail until the coils, one +after another, become immersed. The spring would represent the helix, +and the surface of the water the moving plane. Concentrating +attention upon this surface, you would see a point--the elliptical +cross-section of the wire where it intersected the plane--moving +round and round in a circle. Next conceive of the wire itself as a +lesser helix of many convolutions, and repeat the experiment. The +point of intersection would then continually return upon its own +track in a series of minute loops forming those lesser loops, which, +moving circle-wise, registered the involvement of the helix in the +plane. + +It is easy to go on imagining complicated structures of the nature +of the spiral, and to suppose also that these structures are +distinguishable from each other at every section. If we think of the +intersection of these with the rising surface, as the atoms, or +physical units, of a plane universe, we shall have a world of +apparent motion, with bodies moving harmoniously amongst one another, +each a cross-section of some part of an unchanging and unmoving +three-dimensional entity. + +Now augment the whole by an additional dimension--raise everything +one space. The helix of many helices would become four-dimensional, +and superficial space would change to solid space: each tiny circle +of intersection would become a sphere of the same diameter, +describing, instead of loops, helices. Here we would be among +familiar forms, describing familiar motions: the forms, for example, +of the earth and the moon and of their motion about the sun; of the +atom, as we imagine it, the molecule and the cell. For is not the +sphere, or ovoid, the unit form of nature; and is not the spiral +vortex its characteristic motion, from that of the nebula in the sky +to the electron in the atom? Thus, on the hypothesis that our space +is traversing four-dimensional space, and that the forms of our +space are cross-sections of four-dimensional forms, the unity and +harmony of nature would be accounted for in a remarkably simple +manner. + +The above exercise of the imagination is a good preparation for the +next demand upon it. Conceive a dichotomous tree--one that always +divides into two branches--to pass through a plane. We should have, +as a plane section, a circle of changing size, which would elongate +and divide into two circles, each of which would do the same. This +reminds us of the segmentation of cell life observed under the +microscope, as though a four-dimensional figure were registering its +passage through our space. + + +THE ELECTRIC CURRENT + +Hinton conceived of an electric current as a four-dimensional vortex. +He declared that on the Higher Space Hypothesis the revolution of +the ether would yield the phenomenon of the electric current. The +reader is referred to Hinton's book, _The Fourth Dimension_, for an +extended development of this idea. What follows is a brief summary +of his argument. First, he examines the characteristics of a vortex +in a three-dimensional fluid. Then he conceives of what such a +vortex would be in a four-dimensional medium of analogous properties. +The whirl would be about a _plane_, and the contour of this plane +would correspond to the ends of the axis line in the former vortex; +and as before, the vortex would extend to the boundary. Every +electric current forms a closed circuit: this is equivalent to the +hyper-vortex having its ends in the boundary of the hyper-fluid. The +vortex with a _surface_ as its axis, therefore, affords a geometric +image of a closed circuit. + +Hinton supposes a conductor to be a body which has the property +of serving as a terminal abutment to such a hyper-vortex as has +been described. The conception that he forms of a closed current, +therefore, is of a vortex sheet having its _edge_ along the +circuit of the conducting wire. The whole wire would then be like +the centers on which a spindle turns in three-dimensional space, +and any interruption of the continuity of the wire would produce +a _tension_ in place of a continuous revolution. The phenomena +of electricity--polarity, induction, and the like--are of the nature +of the stress and strain of a medium, but one possessing properties +unlike those of ordinary matter. The phenomena can be explained in +terms of higher space. If Hinton's hypothesis be the true explanation, +the universality of electro-magnetic action would again point to the +conclusion that our three-dimensional world is _superficial_--the +surface, that is, of a four-dimensional universe. + + +THE GREATER UNIVERSE + +This practically exhausts the list of accepted and accredited +indications of hyper-dimensionality in our physical environment. But +if the collective human consciousness is moving into the fourth +dimension, such indications are bound to multiply out of all measure. +It should be remembered that in Franklin's day electricity was +manifest only in the friction of surfaces and in the thunderbolt. +To-day all physical phenomena, in their last analysis, are considered +to be electrical. The world is not different, but perception has +evolved, and is evolving. + +There is another field, in which some of our ablest minds are +searching for evidences of the curvature of space, the field of +astronomy and astro-physics. But into this the layman hesitates to +enter because the experts themselves have found no common ground of +understanding. The ether of space is a battlefield strewn with dead +and dying hypotheses; gravitation, like multiplication, is vexation; +the very nature of time, form and movement is under vivid discussion, +in connection with what is known as the Theory of Relativity. + +Notwithstanding these counter-currents of speculation, which should +make the wise man speak smilingly of his wisdom, this summary +remains incomplete without a reference to the pressure of higher +space upon those adventurous minds that essay to deal with the +profound problems of the greater universe, and a statement of the +reasons for their feeling this pressure. These reasons are well +suggested by Professor B.G. Harrison, in his _Popular Astronomy_. He +says: "With the idea of a universe of finite dimensions there is the +obvious difficulty of the beyond. The truth is that a universe of +finite proportions is equally difficult to realize as one of +infinite extent. Perhaps the nearest analogy to infinity that we can +understand lies in our conception of a closed curve. It seems easier +to imagine the endless movement of a sphere in a circular path than +the case of one travelling in a straight line. Possibly this analogy +may apply in some way to fourth-dimensional space, but the manner of +its application is certainly not easy to understand. If we would +imagine that all co-ordinates of time and space were curved, and +eventually return to the same point, it might bring the ultimate +comprehension one degree nearer." + + +A HINT FROM ASTRONOMY + +The physical evidence that our space is thus curved in higher space, +some have considered astronomy to furnish in what is called the +"negative parallax" of certain distant stars. This cannot be passed +by, though it is too deeply involved with the probable error of the +observers themselves to be considered more than an interesting fact +in this connection. Every one knows that the difference of angle +under which an object is seen from two standpoints is called its +parallax. The parallax of the stars--and the consequent knowledge of +their distance--is obtained by observing them from opposite points +of the earth's orbit around the sun. When a star is within measurable +distance, these angles are acute, and the lines from the star to the +earth at opposite sides of its orbit converge, therefore. But when +these lines, as sometimes happens, appear to be _divergent_, the +result is called a _negative_ parallax, and is explainable by higher +space relationships. Obviously, the divergence of the lines would +indicate that the object lies _behind_ the observer instead of in +front of him. This anomaly can be explained by the curvature of space +in the fourth dimension. If space is so curved, the path of light +itself is curved also, and a man--were his vision immeasurably keen, +not to say telescopic--could see the back of his own head! It is not +worth while to give this question of negative parallax too much +importance, by reason of the probability of error, but in this +connection it should be stated that there appears to be an undue +number of negative parallaxes recorded. + + +GRAVITATION + +Gravitation remains a puzzle to science. The tendency of modern +physics is to explain all material phenomena in terms of electrons +and the ether, but the attempt to account for gravitation in this +way is attended with difficulties. In order to cope with these, it +seems necessary to assume that our universe is only a portion of a +greater universe. This assumption readily lends itself to the +conception of our universe as a three-dimensional meeting place of +two portions of a universe of four dimensions--that is, its +conception as a "higher" surface. This is a fundamental postulate of +higher space speculation. + +One hypothesis advanced to explain gravitation assumes the existence +of a constant hydrostatic pressure transmitted through the ether. A +steady flow of ether into every electron in a gravitating system of +bodies would give rise to forces of attraction between them, varying +inversely as the square of the distance, according to Newton's law. +But in order to avoid the conception of the continual destruction +and creation of ether, it is necessary to assume a steady flow +through every electron between our universe and the greater universe +of which it is assumed to form a part Now because the electrons, in +order to receive this flow, must lie on the boundary of this greater +universe, the latter must be four-dimensional. Every electron, in +other words, must be the starting point of a pathway into--and a +terminal point out of--four-dimensional space. Here we have another +familiar higher space concept. + + +THE ETHER OF SPACE + +The ether of space, because it has at last found entrance, must be +given a grudging hospitality in these pages, even though the +mysterious stranger prove but a ghost. The Relativists would have it +that with the acceptance of their point of view the ether may be +eliminated; but if they take away the ether, they must give us +something in its stead. In whatever way the science of the future +disposes of this problem, it must take into account the fact of +light transmission. On the theory that the ether is an elastic solid +of amazing properties, in which the light waves vibrate _transversely_ +to their direction, it assists the mind to think of the ether as +four-dimensional, because then a light wave would be a superficial +disturbance of the medium--superficial, but three-dimensional, as +must needs be the case with the surface of a four-dimensional solid. + + * * * * * + +This search for evidences of hyper-dimensionality in the universe +accessible to our senses is like looking, not for a needle in a +haystack, but for a haystack in a needle--for the greater in the less. +From the purely physical evidences, all that can with certainty be +said is that the hypothesis is not inconsistent with the facts of +science or its laws; that it is being verified and rendered more +probable by the investigations of science; that it is applicable to +the description or explanation of all the observed phenomena, and +assigns a cause fully adequate to have produced them. + +Now there is an order of phenomena that we call psychic. Because +they are phenomenal they cannot occur outside of time and space +altogether; because they are psychic they defy explanation in terms +of the space and time of every-day life. Let us next examine these +in the light of our hypothesis. + + + + +IV TRANSCENDENTAL PHYSICS + +ZÖLLNER + +In the year 1877, Johann Friedrich Zöllner, professor of physics and +astronomy at the University of Leipsic, undertook to prove that +certain (so-called) psychic phenomena were susceptible of explanation +on the hypothesis of a four-dimensional space. He used as +illustrations the phenomena induced by the medium Henry Slade. By +the irony of events, Slade was afterward arrested and imprisoned for +fraud, in England. This fact so prejudiced the public mind against +Zöllner that his name became a word of scorn, and the fourth dimension +a synonym for what is fatuous and false. Zöllner died of it, but +since his death public opinion has undergone a change. There is a +great and growing interest in everything pertaining to the fourth +dimension, and belief in that order of phenomena upon which Zöllner +based his deductions is supported by evidence at once voluminous and +impressive. + +It is unnecessary to go into the question of the genuineness of the +particular phenomena which Zöllner witnessed. His conclusions are +alone important, since they apply equally to other manifestations, +whose authenticity has never been successfully impeached. Zöllner's +reasoning with regard to certain psychic phenomena is somewhat along +the following lines. + + +APPARITIONS + +_The intrusion (as an apparition) of a person or thing into a +completely enclosed portion of three-space; or contrariwise, the +exit (as an evanishment) out of such a space_. + +Because we lack the sense of four-dimensional space, we must here +have recourse to analogy, and assume three-dimensional space to be +the unsensed higher region encompassing a world of two dimensions, +To a hypothetical flat-man of a two-space, any portion of his plane +surrounded by an unbroken line would constitute an enclosure. Were +he confined within it, escape would be impossible by any means known +to him. Had he the ability to move in the third dimension, however, +he could rise, pass over the enclosing line without disturbing it, +and descend on the other side. The moment he forsook the plane he +would disappear from two-dimensional space. Such a disappearance +would constitute an occult phenomenon in a world of two dimensions. + +Correspondingly, an evanishment from any three-dimensional +enclosure--such as a room with locked doors and windows--might be +effected by means of a movement in the fourth dimension. Because a +body would disappear from our perception the moment it forsook our +space, such a disappearance would be a mystery; it would constitute +an occult phenomenon. The thing would be no more mysterious, however, +to a consciousness embracing four dimensions within its ken, than +the transfer of an object from the inside to the outside of a plane +figure without crossing its linear boundary is mysterious to us. + + +POSSESSION + +_The temporary possession of a person's body, or some member of +that body, by an alien will, as exemplified in automatic writing and +obsession_. + +It would doubtless amaze the scientifically orthodox to know how +many people habitually and successfully practice the dubious art of +automatic writing--not mediums, so-called, but people of refinement +and intelligence. Although the messages received in this way may +emanate from the subconscious mind of the performer, there is +evidence to indicate that they come sometimes from an intelligence +discarnate, or from a person remote from the recipient in space. + +If such is indeed the case, if the will is extraneous, how does it +possess itself of the nerves and muscles of the hand of the writer? +The Higher Space Hypothesis is of assistance here. It is only +necessary to remember that from the fourth dimension the interior of +a solid is as much exposed as the interior of a plane figure is +exposed from the region of the third dimension. A four-dimensional +being would experience no difficulty, under suitable conditions, in +possessing itself of any part of the bodily mechanism of another. + +The same would hold true in cases of possession and obsession; for +if the bastion of the hand can thus be captured, so also may the +citadel of the brain. Certain familiar forms of hypnotism are not +different from obsession, the hypnotizer using the brain and body of +his subject as though they were his own. All unconsciously to himself, +he has called into play four-dimensional mechanics. Many cases of +so-called dual personality are more easily explicable as possession +by an alien will than on the less credible hypothesis that the +character, habits, and language of a person can change utterly in a +moment of time. + + +CLAIRVOYANCE IN SPACE + +_Vision at a distance and the exercise of a superior power of sight_. + +Clairvoyance in space is of various kinds and degrees. Sometimes it +consists in the perception of super-physical phenomena--the +unfurling of a strange and wonderful land; and again it appears to +be a higher power of ordinary vision, a kind of seeing to which the +opacity of solids offers no impediment, or one involving spatial +distances too great and too impeded for normal physical vision to be +effective. + +That clairvoyance which consists in the ability to perceive not +alone the superficies of things as ordinary vision perceives them, +but their interiors as well, is analogous to the power given by the +X-ray, by means of which, on a fluorescent screen, a man may behold +the beating of his own heart. But, if the reports of trained +clairvoyants are to be believed, there is this difference: +everything appears to them without the distortions due to perspective, +objects being seen as though they were inside and not outside of the +perceiving organ, or as though the observer were in the object +perceived; or in all places at the same time. + +Our analogy makes all this intelligible. To the flat-man, +clairvoyance in space would consist in that power of perception +which we exercise in reference to his plane. From the third +dimension the boundaries of plane figures offer no impediment +to the view of their interiors, and they themselves in no way +impede our vision of surrounding objects. If we assume that +clairvoyance in space is the perception of the things of our world +from the region of the fourth dimension, the phenomena exactly +conform to the demands of our analogy. It is no more difficult +for a four-dimensional intelligence to understand the appearance +or disappearance of a body in a completely closed room, or the +withdrawal of an orange from its skin, without cutting or breaking +that skin, than it is for us to see the possibility of taking up a +pencil point from the center of a circle and putting it down outside. +We are under no compulsion to draw a line across the circumference +of the circle in order to enter or leave it. Moreover, the volume of +our sensible universe embraced in the clairvoyant's field of view +will increase in the same way that a balloonist's view increases in +area as he rises above the surface of the earth. To account for +clairvoyant vision at a distance, it is of course necessary to posit +some perceptive organ other than the eye, but the fact that in +trance the eyes are closed, itself demands this assumption. + + +CLAIRVOYANCE IN TIME + +_The perception of a past event as in process of occurring, or the +prevision of something which comes to pass later_. + +No mechanistic explanation will serve to account for this order of +clairvoyance since it is inextricably involved in the mystery of +consciousness itself. Yet our already overworked analogy can perhaps +cast a little light even here. + +To the flat-man, the third dimension of objects passing through his +plane translates itself to his experience into _time_. Were he +capable of rising in the positive direction of the third dimension, +he would have pre-vision, because he would be cognizant of that +which had not yet intersected his plane: by sinking in the negative +direction, he would have post-vision, because he could re-cognize +that which had already passed. + +Now there are excellent reasons, other than those based on analogy, +that the fourth-dimensional aspect of things may manifest itself to +our ordinary experience, not as spatial extension, but as temporal +change. Then, if we conceive of clairvoyance as a transcending by +consciousness of our three-dimensional space, prevision and +post-vision would be logically possible as corresponding to the +positive and negative of the fourth dimension. This may be made +clearer by the aid of a homely illustration. + + +PISGAH SIGHTS OF LIFE'S PAGEANT + +Suppose you are standing on a street corner, watching a procession +pass. You see the pageant as a sequence of objects and individuals +appearing into view near by and suddenly, and disappearing in the +same manner. This would represent our ordinary waking consciousness +of what goes on in the world round about. Now imagine that you walk +up the street in a direction opposite to that in which the +procession is moving. You then rapidly pass in review a portion of +the procession which had not yet arrived at the point you were a few +moments before. This would correspond to the seeing of something +before it "happened," and would represent the positive aspect of +clairvoyance in time--prevision. Were you to start from your +original position, and moving in the direction in which the +procession was passing, overtake it at some lower street corner, you +could witness the thing you had already seen. This would represent +post-vision--clairvoyance of the past. + +A higher type of clairvoyance would be represented by the sweep of +vision possible from a balloon. From that place of vantage the +procession would be seen, not as a sequence, but simultaneously, and +could be traced from its formation to its dispersal. Past, present +and future would be merged in one. + +It is true that this explanation raises more questions than it +answers: to account in this way for a marvel, a greater marvel must +be imagined--that of transport out of one's own "space." The whole +subject bristles with difficulties, not the least of which is that +even to conceive of such a thing as prevision all our old ideas +about time must be recast. This is being done in the Principle of +Relativity, a subject which may appropriately engage our attention +next. + + + + +V CURVED TIME + + +TIME FROM THE STANDPOINT OF EXPERIMENT AND OF CONSCIOUS EXPERIENCE + +In some moment of "sudden light" what one of us has not been able to +say, with Rossetti, + + "I have been here before, + But when or how I cannot tell." + +Are such strange hauntings of our House of Life due to the cyclic +return of time? Perhaps,--but what is time? + +Suppose some one should ask you, "What is an hour?" Your answer +might be, "It is the interval marked off by the clock-hand between 1 +and 2." "But what if your clock is running down or speeding up?" To +this you would probably reply, "The clock is set and corrected by +the earth, the sun and the stars, which are constant in their +movements." _But they are not_. The earth is known to be running slow, +by reason of tide friction, and this is likely to continue until it +will revolve on its axis, not once a day, but once a year, +presenting always the same face to the sun. + +We can only measure time by _uniform_ motion. Observe the vicious +circle. Uniform motion means the covering of equal spaces in equal +times. But how are we to determine our equal times? Ultimately we +have no other criterion save the uniform motion of the clock-hand or +the star dial. The very expressions, "uniform motion," "equal times," +beg the whole question of the nature of time. + +Let us then, in this predicament, consider time not from the +standpoint of experiment, but of conscious experience--what Bergson +calls "real duration." + +Every point along the line of memory, of conscious experience, has +been traced out by that unresting stylus we call "the present moment." +The question of its rate of motion we will not raise, as it is one +with which we have found ourselves impotent to deal. We believe on +the best of evidence that the conscious experience of others is +conditioned like our own. For better understanding let us have +recourse to a homely analogy: let us think of these more or less +parallel lines of individual experience in the semblance of the +strands of a skein of flax. Now if, _at the present moment_, this +skein were cut with a straight knife at right angles to its length, +the cut end would represent the _time plane_--that is, the present +moment of all--and it would be the same for all providing that the +time plane were flat _But is it really flat_? Isn't the straightness +of the knife a mere poverty of human imagination? Existence is always +richer and more dramatic than any diagram. + + "Line in nature is not found; + Unit and universe are round. + In vain produced, all rays return; + Evil will bless and ice will burn." + +Undoubtedly the flat time-plane represents with fair accuracy the +temporal conditions that obtain in the human aggregate in this world +under normal conditions of consciousness, but if we consider our +relation to intelligent beings upon distant worlds of the visible +universe the conditions might be widely different The time section +corresponding to what our straight knife made flat in the case of +the flax may be--nay, probably is--strongly curved. + + +RELATIVITY + +This crude analogy haltingly conveys what is meant by curved time. +It is an idea which is implicit in the Theory of Relativity. This +theory has profoundly modified many of our basic conceptions about +the universe in which we are immersed. It is outside the province of +this book and beyond the power of its author even so much as to +sketch the main outlines of this theory, but certain of its +conclusions are indispensable, since they baldly set forth our +dilemma in regard to the measurement of space and time. We can +measure neither except relatively, because they must be measured one +by the other, and no matter how they vary, these variations always +compensate one another, leaving us in the same state of ignorance +that we were in before. + +Suppose that two intelligent beings, one on Mars, let us say, and +the other on the earth, should attempt to establish _the same moment +of time_, by the interchange of light signals, or by any other +method which the most rigorous science could devise. Assume that +they have for this purpose two identically similar and mechanically +perfect chronometers, and that every difficulty of manipulation were +successfully overcome. Their experiment could end only in failure, +and the measure of this failure neither one, in his own place, could +possibly know. If, after the experiment, the Martian, chronometer in +hand, could be instantly and miraculously transported to the earth, +and the two settings compared, they would be found to be different: +how different, we do not know. + +The reason for the failure of any such experiment anywhere conducted +can best be made plain by a crude paraphrase of a classic +proposition from Relativity. Suppose it is required to determine the +same moment of time at two different places on the earth's surface, +as must be attempted in finding their difference in longitude. Take +the Observatory at Greenwich for one place, and the observatory at +Washington for the other. At the moment the sun is on the meridian +of Greenwich, the exact time of crossing is noted and cabled to +Washington. The chronometer at Washington is set accordingly, and +the time checked back to Greenwich. This message arrives two seconds, +say, after the original message was sent. Washington is at once +notified of this double transmission interval. On the assumption +that HALF of it represents the time the message took to travel from +east to west, and the other half the time from west to east again, +the Washington chronometer is set one second ahead of the signalled +time, to compensate for its part of the loss. When the sun has +reached the meridian of Washington, the whole process is repeated, +and again as before, half of the time the message has taken to cross +and recross the Atlantic is added to the Greenwich record of noon at +Washington. The number of hours, minutes, seconds, and fractions of +a second between these two corrected records represents the +difference in solar time between the two places, and incidentally +the same moment of time has been established for both--at least, so +it would appear. + +But is it established? That each message took an equal time to +travel each way is pure assumption, and happens to be a false one. +The accuracy of the result is vitiated by a condition of things to +which the Relativists have called attention. Our determination might +be defended if Washington and Greenwich could be assumed to remain +at rest during the experiments, and some argument might even be made +in its favor if we could secure any cosmic assurance that the +resultant motion of the earth should be the same when Greenwich +signalled its noon to Washington and Washington its noon to Greenwich. + +Our present discussion is merely illustrative, or diagrammatic; so +we will neglect the velocity of the earth in its orbit round the sun, +some forty times greater than that of a cannon ball, and the more +uncertain and more vertiginous speed of the whole solar system +towards its unknown goal. Let us consider only the rotation of the +earth on its axis, the tide-speed of day and night. To fix our idea, +this may be taken, in our latitudes, at eighteen thousand miles per +day, or perhaps half the speed of a Mauser rifle bullet. + +So fast, then, will Washington have been moving to meet the message +from Greenwich. So fast will Greenwich have been retreating from +Washington's message. + +Now the ultimate effect of motion on the time-determination cannot +be calculated along any such simple lines as these. Indeed, it +cannot be exactly calculated at all, for we have not all the data. +But there is certainly _some_ effect. Suppose one rows four miles up +a river against a current of two miles per hour, at a rowing speed +of four miles per hour. This will take two hours, plainly. The +return trip with the river's gift of two miles per hour will +evidently require but forty minutes. _Two hours and forty minutes_ +for the round trip, then, of eight miles. + +Now then, to row eight miles in still water, according to our +supposition, would have required but _two hours_. But, some one +objects, the current must help the return trip as much as it +hindered the outgoing! Ah, here is the snare that catches +rough-and-ready common sense! How long would the double journey have +taken _if the river current had been faster than our rowing speed_? +How shall we schedule our trip if we cannot learn the correct speed, +_or if it varies from minute to minute_? + +These explanations are necessarily symbolistic rather than +demonstrative, but any one who will seriously follow out these lines +of thought, or, still better, study the attitude of the hard-headed +modern physicist towards our classical geometry and mechanics, +cannot fail to realize how conventional, artificial--even +phantasmal--are the limitations set by the primitive idea of flat +space and straight time. + +The inferences which we may draw from our hypothetical experiment +are plain. The settings of the two chronometers would be defective, +they would not show the same time, but each of them would mark the +_local_ time, proper to its own place. There would be no means of +detecting the amount of error, since the messages were transmitted +by a medium involved with them in their transportation. If only +local time can be established, the possibility of a warped +time-plane--the curvature of time--is directly opened up. Doubtless +it is true that on so relatively minute a scale as is offered by the +earth, any deviation from perfect flatness of the time-plane would +be so inconsiderable and imperceptible as to make it scientifically +negligible; but this by no means follows when we consider our +relation to other worlds and other systems. + +A similar condition holds with regard to space-distortion. The +Theory of Relativity enforces the conclusion that from the +standpoint of our conventions in regard to these matters, all bodies +involved in transportation undergo a contraction in the direction of +that transportation, while their dimensions perpendicular to the +transportation remain invariable. This contraction is the same for +all bodies. For bodies of low velocity, like the earth, this +distortion would be almost immeasurably slight; but great or little, +no measuring instruments on the body transporting would ever +disclose it, for a measure would undergo the same contraction as the +thing measured. + + +THE SPOON-MAN + +These concepts that space and time are not as immutable as they +appear: that our universe may suffer distortion, that time may lag +or hasten without our being in the least aware, may be made +interestingly clear by an illustration first suggested by Helmholtz, +of which the following is in the nature of a paraphrase. + +If you look at your own image in the shining surface of a teapot, or +the back of a silver spoon, all things therein appear grotesquely +distorted, and all distances strangely altered. But if you choose to +make the bizarre supposition that this spoon-world is real, and your +image--the spoon-man--a thinking and speaking being, certain +interesting facts could be developed by a discussion between +yourself and him. + +You say, "Your world is a distorted transcript of the one in which I +live." + +"Prove it to me," says the spoon-man. + +With a foot-rule you proceed to make measurements to show the +rectangularity of the room in which you are standing. Simultaneously +he makes measurements giving the same numerical results; for his +foot-rule shrinks and curves in the exact proportion to give the +true number of feet when he measures his shrunken and distorted rear +wall. No measurement you can apply will prove you in the right, nor +him in the wrong. Indeed he is likely to retort upon you that it is +your room which is distorted, for he can show that in spite of all +its nightmare aspects his world is governed by the same orderly +geometry that governs yours. + +The above illustration deals purely with space relations, for such +relations are easily grasped; but certain distortions in time +relations are no less absolutely imperceptible and unprovable. So +far from having any advantage over the spoon-man, our plight is his. +The Principle of Relativity discovers us in the predicament of the +Mikado's "prisoner pent," condemned to play with crooked cues and +elliptical billiard balls, and of the opium victim, for whom +"space swells" and time moves sometimes swift and sometimes slow. + + +THE ORBITAL MOVEMENT OF TIME + +Now if our space is curved in higher space, since such curvature is +at present undetectable by us, we must assume, as Hinton chose to +assume, that it curves in the minute, or, as some astronomers assume, +that its curve is vast. These assumptions are not mutually exclusive: +they are quite in analogy with the general curvature of the earth's +surface which is in no wise interfered with by the lesser curvatures +represented by mountains and valleys. It is easiest to think of our +space as completely curved in higher space in analogy with the +surface of a sphere. + +Similarly, if time is curved, the idea of the cyclic return of time +naturally (though not inevitably) follows, and the division of the +greater cycles into lesser loops; for it is easier to assign this +elliptical movement to time than any other, by reason of the orbital +movements of the planets and their satellites. What results from +conceptions of this order? Amazing things! If our space is curved in +higher space, you may be looking toward the back of your own head. +If time flows in cycles, in travelling toward to-morrow you may be +facing yesterday. + +This "eternal return," so far from being a new idea, is so old that +it has been forgotten. Its reappearance in novel guise, along with +so many other recrudescences, itself beautifully illustrates time +curvature in consciousness. _Yugas_, time cycles, are an integral +and inexpugnable part of Oriental metaphysics. "Since the soul +perpetually runs," says Zoroaster, "in a certain space of time it +passes through all things, which circulation being accomplished, it +is compelled to run back again through all things, and unfold the +same web of generation in the world." Time curvature is implicit in +the Greek idea of the iron, bronze, silver, and golden ages, +succeeding each other in the same order: the winter, seed-time, +summer and harvest of the larger year. Astrology, seership, prophecy, +become plausible on the higher-time hypothesis. From this point of +view history becomes less puzzling and paradoxical. What were the +Middle Ages but a forgetting of Greek and Roman civilization, and +what was the Renaissance but a remembering of them--a striving to +re-create the ruined stage-settings and to re-enact the urbane play +of Pagan life. The spirit of the Crusades is now again animate +throughout Europe. Nations are uniting in a Holy War against the +Infidel _de nos jours_. + +But it is in the individual consciousness that time curvature +receives its most striking confirmation--those lesser returns and +rhythms to which we give the name of periodicity. Before considering +these, however, a fundamental fallacy of the modern mind must be +exposed. + + +MATERIALITY THE MIRROR OF CONSCIOUSNESS + +Our vicious habit of seeking the explanation of everything--even +thought and emotion--in materiality, has betrayed us into the error +of attributing to organic and environic changes the very power by +which they are produced. We are wont to think of feeling, the form +in which Being manifests to consciousness, as an effect instead of +as a cause. When Sweet Sixteen becomes suddenly and mysteriously +interesting to the growing boy, it is not because sex has awakened +in his body, but because the dread time has come for him to +contemplate the Idea of Woman in his soul. If you are sleepy, it is +not because the blood has begun to flow away from your brain, but +because your body has begun to bore you. Night has brought back the +Idea of Freedom, and consciousness chloroforms the thing that +clutches it. If you are ill, you grow cold or your temperature rises: +it is the signal by which you know that your consciousness is +turning toward the Idea of Pain. + +Just as a savage looks for a man behind a mirror, we foolishly seek +in materiality for that which is not there. The soul determines +circumstance: the soul contains the event which shall befall. The +organic and environic rearrangements incident to obscure rotations +in higher space are like the changes a mirror-image undergoes as an +object draws near and then recedes from its plane. This is only a +figure of speech, but it is susceptible of almost literal application. +Ideas, emerging from the subconscious, appproach, intersect, recede +from, and re-approach the stream of conscious experience; taking the +forms of aversions and desires, they register themselves in action, +and by reason of time curvature, everything that occurs, recurs. + + +PERIODICITY + +We recognize and accept this cyclic return of time in such familiar +manifestations of it as Nature affords in _periodicity_. We recognize +it also in our mental and emotional life, when the periods can be +co-ordinated with known physical phenomena, as in the case of the +wanderlust which comes in the mild melancholy of autumn, the moods that +go with waning day, and winter night. It is only when these recurrences +do not submit themselves to our puny powers of analysis and measurement +that we are incredulous of a larger aspect of the law of time-return. +Sleep for example, is not less mysterious than death which, too, +may be but "a sleep and a forgetting." The reason that sleep fails to +terrify us as death does is because experience has taught that +_memory leafs the chasm_. Why should death bedreaded any more than +bedtime? Because we fear that we shall forget. But do we really forget? +As Pierre Janet so tersely puts it, "Whatever has gone into the mind +may come out of the mind," and in a subsequent chapter this aphorism +will be shown to have extension in a direction of which the author of +it appears not to have been aware. Memory links night to night and +winter to winter, but such things as "the night-time of the spirit" +and "the winter of our discontent" are not recognized as having either +cause or consequence. Now though the well-springs of these states of +consciousness remain obscure, there is nothing unreasonable in +believing that they are recrudescences of far-off, forgotten moods +and moments; neither is it absurd to suppose that they may be related +to the movements and positions of the planets, as night and winter +are related to the axial and orbital movements of the earth. + +But there are other, and even more interesting, evidences of time +curvature in consciousness. These lead away into new regions which +it is our pleasure now to explore. + + + + +VI SLEEP AND DREAMS + + +SLEEP + +Our space is called three-dimensional because it takes three +numbers--measurement in three mutually perpendicular directions--to +determine and mark out any particular point from the totality of +points. Time, as the individual experiences it, is called +one-dimensional for an analogous reason: one number is all that is +required to determine and mark out any particular event of a series +from all the rest. Now in order to establish a position in a space of +four dimensions it would be necessary to measure in _four_ mutually +perpendicular directions. Time curvature opens up the possibility of +a corresponding higher development in time: one whereby time would +be more fittingly symbolized by a plane than by a linear figure. +Indeed, the familiar mystery of memory calls for such a conception. +Memory is a carrying forward of the past into the present, and the +fact that we can recall a past event without mentally rehearsing +all the intermediate happenings in inverse order, shows that in +the time aspect of memory there is simultaneity as well as +sequence--time ceases to be linear and becomes _plane_. More +remarkable illustrations of the sublimation of the time-sense are +to be found in the phenomena of sleep and dreams. + +"Oh, thou that sleepest, what is sleep?" asks the curious Leonardo. +Modern psychological science has little to offer of a positive +nature in answer to this world-old question, but it has at least +effectively disposed of the absurd theories of the materialists who +would have us believe that sleep is a mere matter of blood +circulation or of intoxication by accumulation of waste products in +the system. Sleep states are not abnormal, but part and parcel of +the life existence of the individual. When a person is asleep he has +only become unresponsive to the mass of stimuli of the external +world which constitutes his environment. As Sidis says, "When our +interest in external existence fags and fades away, we go to sleep. +When our interests in the external world cease, we draw up the +bridges, so to say, interrupt all external communication as far as +possible, and become isolated in our own fortress and repair to our +own world of organic activity and inner dream life. Sleep is the +interruption of our intercourse with the external world: it is the +laying down of our arms in the struggle of life. Sleep is a truce +with the world." + +The twin concepts of higher space and curved time sanction a view of +sleep even bolder. Sleep is more than a longing of the body to be +free of the flame which consumes it: the flame itself aspires to be +free--that is to say, consciousness, tiring of its tool, the brain, +and of the world, its workshop, takes a turn into the plaisance of +the fourth dimension, where time and space are less rigid to resist +the fulfillment of desire. + + +DREAMS + +We find a confirmation of this view in dream phenomena. But however +good the evidence, we shall fail to make out a case unless dream +experiences are conceded to be as real as any other. The reluctance +we may have to make this concession comes first from the purely +subjective character of dreams, and secondly from their triviality +and irrationality--it is as though the muddy sediment of daytime +thought and feeling and that alone were there cast forth. In answer +to the first objection, advanced psychology affirms that the +subconscious mind, from which dreams arise, approaches more nearly +to the omniscience of true being than the rational mind of waking +experience. The triviality and irrationality of dreams are +sufficiently accounted for if the dream state is thought of as the +meeting place of two conditions of consciousness: the foam and +flotsam "of perilous seas in faëry lands forlorn," whose vastitude, +whose hidden life, and rich argosies of experience, can only be +inferred from the fret of the tide on their nether shore--the tired +brain in sleep. + +For it is the _remembered_ dream alone that is incoherent--the dream +that comes clothed in the rags and trappings of this work-a-day world, +and so leaves some recoverable record on the brain. We all feel that +the dreams we cannot remember are the most wonderful. Who has not +wakened with the sense of some incommunicable experience of terror or +felicity, too strange and poignant to submit itself to concrete +symbolization, and so is groped for by the memory in vain? We know +that dreams grow more ordered and significant as they recede from +the surface of consciousness to its depths. Deep sleep dreams are in +the true sense clairvoyant, though for the most part irrecoverable-- +"Canst thou draw out Leviathan with an hook?" DuPrel and others have +shown that the difference between ordinary dreaming, somnambulance, +trance and ecstasy, is only a matter of redistribution of +thresholds--that they are all related states and merge into one +another. We have, therefore, every right to believe that for a +certain number of hours out of the twenty-four we are all sybils and +seers, however little most of us are able to profit by it. +Infrequently, in moments of peculiar susceptibility, the veil is +lifted, but the art of _dreaming true_ remains for the most part +unmastered--one of the precious gifts which the future holds in store +for the sons and daughters of men. + +The partial waking state is the soil in which remembered dreams +develop most luxuriously. Paradoxical as it may sound, they are the +product, not of our sleep, but of our waking. Such dreams belong to +both worlds, partly to the three-dimensional and partly to the +four-dimensional. While dreams are often only a hodge-podge of +daytime experiences, their incredible rapidity, alien to that +experience, gives us our first faint practicable intimation of a +higher development of time. + + +TIME IN DREAMS + +The unthinkable velocity of time in dreams may be inferred from +the fact that between the moment of impact of an impression +at the sense-periphery and its reception at the center of +consciousness--moments so closely compacted that we think of them as +simultaneous--a coherent series of representations may take place, +involving what seem to be protracted periods for their unfoldment. +Every reader will easily call to mind dream experiences of this +character, in which the long-delayed dénouement was suggested and +prepared for by some extraneous sense-impression, showing that the +entire dream drama unfolded within the time it took that impression +to travel from the skin to the brain. + +Hasheesh dreams, because they so often occur during some momentary +lapse from normal consciousness and are therefore measurable by its +time scale, are particularly rich in the evidence of the looping of +time. Fitzhugh Ludlow narrates, in _The Hasheesh Eater_, the dreams +that visited him in the brief interval between two of twenty or more +awakenings, on his walk homeward after his first experience with the +drug. He says, "I existed by turns in different places and various +states of being. Now I swept my gondola through the moonlit lagoons +of Venice. Now Alp on Alp towered above my view, and the glory of +the coming sun flashed purple light upon the topmost icy pinnacle. +Now in the primeval silence of some unexplored tropical forest I +spread my feathery leaves, a giant fern, and swayed and nodded in +the spice-gales over a river whose waves at once sent up clouds of +music and perfume. My soul changes to a vegetable essence, thrilled +with a strange and unimagined ecstasy." + +Earlier in the same evening, when he was forced to keep awake in +order not to betray his condition, the dream time-scale appears to +have imposed itself upon his waking consciousness with the following +curious effect. A lady asked him some question connected with a +previous conversation. He says, "As mechanically as an automaton I +began to reply. As I heard once more the alien and unreal tones of +my own voice, I became convinced that it was some one else who spoke, +and in another world. I sat and listened: still the voice kept +speaking. Now for the first time I experienced that vast change which +hasheesh makes in all measurements of time. The first word of the +reply occupied a period sufficient for the action of a drama; the +last left me in complete ignorance of any point far enough back in +the past to date the commencement of the sentence. Its enunciation +might have occupied years. I was not in the same life which had held +me when I heard it begun." + +This well-known fact, that we cannot measure dreams by our time scale, +proves that subjective time does not correspond with objective, and +that the "dream organ" of consciousness has a time scale of its own. +If in our waking state we experience one kind of time, and in +dreams quite another, the solution of the mystery should be sought +in the _vehicle_ of consciousness, for clearly the limit of +impressionability or power of response of the vehicle establishes +the time scale, just as the size of the body with relation to +objects establishes the space scale. Time must be different for the +ant and the elephant, for example, as space is different. + +Our sense of time is wholly dependent upon the rapidity with which +impressions succeed one another. Were we capable of receiving only +one impression an hour, like a bell struck every hour with a hammer, +the ordinary term of life would seem very short. On the other hand, +if our time sense were always as acute as it is in dreams, uncounted +aeons would seem to be lived through in the interval between +childhood and old age. + +Imagine a music machine so cunningly constructed and adjusted as not +only to sound each note and chord in its proper sequence and relation, +but to regulate also the duration of the sound vibration. If this +machine were operated in such a manner as to play, in a single +second of time, the entire overture of an opera which would normally +occupy half an hour, we should hear only an unintelligible noise a +second long. This would be due to no defect in the _sound-producing_ +mechanism, but to the limitations of the _sound-receiving_ mechanism, +our auditory apparatus. Could this be altered to conform to the +unusual conditions--could it capture and convey to consciousness +every note of the overture in a second of time--that second would +seem to last half an hour, provided that every other criterion for +the measurement of duration were denied for the time being. + +Now dreams _seem_ long: we only discover afterwards and by accident +their almost incredible brevity. May we not--must we not--infer from +this that the body is an organ of many stops and more than one +keyboard, and that in sleep it gives forth this richer music. The +theory of a higher-dimensional existence during sleep accounts in +part for the great longing for sleep. "What is it that is much +desired by man, but which they know not while possessing?" again +asks Leonardo. "It is sleep," is his answer. This longing for sleep +is more than a physical longing, and the refreshment it brings is +less of the flesh than of the spirit. It is possible to withstand +the deprivation of food and water longer and better than the +deprivation of sleep. Its recuperative power is correspondingly +greater. + +Experiments have been made with mature University students by which +they have been kept awake ninety-six hours. When the experiments +were finished, the young men were allowed to sleep themselves out, +until they felt they were thoroughly rested. All awoke from a long +sleep completely refreshed, but the one who took longest to restore +himself from his protracted vigil slept only one-third more time +than was regular with him. And this has been the experience over and +over again of men in active life who have been obliged to keep awake +for long periods by the absolute necessities of the situation in +which they have been placed. + +In this fact there is surely another hint of the sublimation of the +time sense during sleep. While it would be an unwarrantable +assumption to suppose that the period of recuperation by sleep must +be as long, or nearly as long, as the period of deprivation, the +ratio between the two presents a discrepancy so great that it would +seem as though this might be due to an acceleration of the time +element of consciousness. + + +THE EASTERN TEACHING IN REGARD TO SLEEP AND DREAMS + +In this matter of the wonder, the mystery, the enchantment, of sleep +and dreams, the most modern psychology and the most ancient wisdom +meet on common ground. Eastern wisdom casts such a light upon the +problems of subjectivity that it should not be lightly dismissed. +For uncounted centuries Hindu-Aryan spiritual science has recognized, +not one plane or condition of consciousness, but three; waking, +dreaming, and deep sleep--the gross, the subtle and the pure. In the +waking state--that is, with the vehicle attuned to vibrate to +materiality--the individual self is as a captive in a citadel of +flesh, aware of only so much of the universal life as chances to +enact itself before the windows of his prison. In the dream state, +when the more violent vibrations of the body are stilled in sleep, +consciousness becomes active in its subtle (four-dimensional) vehicle, +and ranges free throughout the ampler spaces of this subtler world. +In deep sleep, consciousness reverts to its pure condition--the +individual self becomes the All-Self: the rainbow, no longer +prismatic by reason of its refraction in materiality, becomes the +pure white light; the melody of life resolves itself into the +primordial harmony; sequence becomes simultaneity, and Time, no +longer "besprent with seven-hued circumstance," is swallowed up in +duration. + +"_There are two paths for him, within and without, and they both +turn back in a day and a night.... After having subdued by sleep all +that belongs to the body, he, not asleep himself, looks down upon +the sleeping. Having assumed light, he goes again to his place, the +golden person, the lonely bird_" UPANISHADS. + + +SPACE IN DREAMS + +However preposterous may appear to us this notion that the waking +state, in which we feel ourselves most potent and alive, is really +one of inhibition--that the world is only a "shoal of time"--it is +curiously borne out by the baffling phenomena of dreams and is in +perfect accord with the Higher Space Hypothesis. The possibility of +shaking off the grip of sleep under appropriate circumstances, the +fact that we can watch in our sleep, and awake at the right moment, +that we can sleep and still watch and keep awake in regard to +special objects and particular persons--these things form +insuperable difficulties for all those plausible, and apparently +scientific, theories of sleep current in the West; but they fit +perfectly with the Eastern idea that "he, not asleep himself, looks +down upon the sleeping." And to the questions, "How, and from whence?" +in the light of our hypothesis we may answer, "By the curvature of +time, consciousness escapes into the fourth dimension." + +Myers shows that he was in need of just this clue in order to +account for some of the dream experiences recorded in _Human +Personality_, since he asks for "an intermediate conception of +space--something between space as we know it in the material world +and space as we imagine it to disappear in the ideal world." He +suggests that in dreams and trance there may be a clearer and more +complete perception of space than is at present possible to us. A +corresponding sublimation of the time sense is no less necessary to +account for time in dreams. Although we seem to triumph over space +and time to such a tune as to eliminate them, dream experiences have +both form and sequence. Now because form presupposes space, and time +is implicit in sequence, there arises the necessity for that +"intermediate conception" of both space and time provided by our +hypothesis. + + +THE PHENOMENON OF PAUSE + +Let us conceive of sleep less narrowly than we are accustomed to: +think of it only as one phase of the phenomenon of pause, of +arrested physical activity, universal throughout nature. The cell +itself experiences fatigue and goes to sleep--"perchance to dream," +Modern experimental science in the domain of physiology and +psychology proves that we see and do not see, hear and do not hear, +feel and do not feel, in successive instants. We are asleep, in +other words, not merely hour by hour, but moment by moment--and +perhaps age by age as well. + +Where is consciousness during these intervals, long or short, when +the senses fail to respond to the stimuli of the external world? It +is somewhere else, awake to some other environment. Though we may +not be able to verify this from our own experience, there are +methods whereby it can be verified. Clairvoyance is one of these, +hypnotism is another--that kind of hypnotism whereby an entranced +person is made to give a report of his excursions and adventures in +the mysterious House of Sleep. It is a well-known fact that these +experiences increase in intensity, coherence and in a certain sort +of omniscience, directly in proportion to the depth of the trance. +The revelations obtained in this way are sometimes amazing. The +inherent defect of this method of obtaining information is the +possibility of deception, and for that reason science still looks +askance at all evidence drawn from this source. But in essaying to +write a book about the fourth dimension from any aspect but the +mathematical, the author has put himself outside the pale of +orthodox science, so he is under no compulsion to ignore a field so +rich merely because it appears to be tainted by a certain amount of +fallibility and is even under suspicion of fraud. Diseased oysters, +though not edible, produce pearls, and a pearl of great price is the +object of this quest. Let us glance, therefore, at the findings of +hypnotism and kindred phenomena. + + + + +VII THE NIGHT SIDE OF CONSCIOUSNESS + + +THE FIELD OF PSYCHIC RESEARCH + +It is difficult to divest the words hypnotism and clairvoyance of +certain sordid and sinister associations. We are apt to think of +them only as urban flora of the dust and dark, cultivated for profit +by itinerant professors and untidy sibyls. Larger knowledge of the +night side of human nature, however, profoundly modifies this view. +The invoked image is then of some hushed and studious chamber where +a little group of people sit attentive to the voice of one +entranced--listeners at the keyhole of the door to another world. +This "news from nowhere," garnered under so-called test conditions +and faithfully recorded, has grown by now to a considerable +literature, accessible to all--one with which every well-informed +person is assumed to have at least a passing acquaintance. + +A marked and constant characteristic of trance phenomena consists of +an apparent confusion between past, present and future. As in the +game of three-card monte, it appears impossible to tell in what order +the three will turn up--_was, is_ and _will be_, lose their special +significance. Clairvoyance, in its time aspect, whether spontaneous, +hypnotically induced, or self-induced, is susceptible of +classification as post-vision, present vision, and prevision. +Post-vision is that in which past events are not recollected merely, +but seen or experienced. It is the past become present. Present +vision is clairvoyance of things transpiring elsewhere; the present, +remote in space, but not in time. Prevision is the future in the +present. These various orders of _clear-seeing_ transcend the limits +of the actual knowledge and experience of the seer. This +classification and these definitions are important only to us, to +whom past, present, and future stand sharply differentiated in +thought and in experience; not to the clairvoyant, who, though bound +in body to our space and time, is consciously free in a world where +these discriminations vanish. Why do they vanish? This question can +best be answered by means of a homely analogy. + +For a symbol of the flow of time in waking consciousness, imagine +yourself in a railway carriage which jogs along a main-travelled +line at a rate predetermined by the time-table. You approach, reach +and pass such stations as are intersected by that particular railway, +and you get a view of the landscape which every other traveler shares. +Having once left a station, you cannot go back to it, nor can you +arrive at places further along the line before the train itself +takes you there. Compare this with the freedom to do either of these +things, and any number of others, if you suddenly change from the +train to an automobile. Then, in effect, you have the freedom of a +new dimension. In the one case, you must travel along a single line +at a uniform rate; in the other, you are able to strike out in any +direction and regulate your speed at will. You can go back to a +place after the train has left it; you can go forward to some place +ahead, before the train arrives, or you can strike out into, and +traverse, new country. In short, your freedom, temporal and spatial, +will be related to that of the train-bound traveler, somewhat as is +trance consciousness to everyday waking life. + + +MODIFYING THE PAST + +Modern psychology has demonstrated the existence of a great +undercurrent of mental and emotional life, transcending the +individual's conscious experience, in which the most complex +processes are carried on without the individual's conscious +participation. The clearest symbol by which this fact may be figured +to the imagination is the one already presented: the comparison of +the subjective field to a plane, in which the conscious experience +of the individual is represented by a single line. In sleep and +trance we have an augmented freedom of movement and so are able to +travel here and there, backward and forward, not only among our own +"disassociated memories" but in that greater and more mysterious +demesne which comprehends what we call the future, as well as the +present and the past. + +The profound significance of the disassociation and sublimation of +memory by hypnotism, or by whatever other means the train of +personal experience and recollection can be thrown off the track, +appears to have been ignored on its theoretical side--that is, as +establishing the return of time. It has cleverly been turned to +practical account, however, in the treatment of disease. By a series +of painstaking and brilliant experiments, the demonstration of the +role played by "disassociated memories" in causing certain +functional nervous and mental troubles has been achieved. It has +been shown that severe emotional shocks, frights, griefs, worries, +may be--and frequently are--completely effaced from conscious +recollection, while continuing to be vividly remembered in the +depths of the subconscious. It has been shown that thence they may, +and frequently do, exercise a baleful effect upon the whole organism, +giving rise to disease symptoms, the particular type of which were +determined by the victim's self-suggestion. As a preliminary to +effecting a permanent cure to such disorders, it is necessary to get +at these disassociated memories and drag them back into the full +light of conscious recollection. To get at them, medical +psychologists make use of hypnotism, automatic writing, +crystal-gazing--in short, of any method which will force an entrance +into that higher time-world, whereby the forgotten past may become +the present. This accomplished, and the crucial moment recovered and +transfixed, the victim of the aborted opportunity is led to deal +with it as one may deal with the fluid, and may not deal with the +fixed. Again his past is plastic to the operation of his +intelligence and his will. Here is glad news for mortals: the past +recoverable and in a manner revocable! + +Buddha taught that all sin is ignorance, and this teaching has +escaped oblivion because its truth has echoed in so many human hearts. +We find that it is possible to deal with our old ignorances in the +light of later knowledge. What is this but the self-forgiveness of +sins? Subconsciously we may be always at work, mending the past. +Repentance is the conscious recognition of some culmination of this +obscure process, when the heart is suffused with the inner gladness +of liberation from the payment of old karmic debts. Christ's words, +"Thy sins are forgiven," spoken to the woman who washed his feet +with her tears, sanctions this idea--that the past is remediable by +knowledge and by love. + +Conceding this much, we must equally admit the possibility of +moulding the future, of adjusting the will to the event which shall +befall. If the present moment can again intersect the stream of past +conscious experience, it may equally do so with regard to the future. +This brings up the tremendous questions of free-will and +fore-ordination. Upon these the Oriental doctrines of karma and +reincarnation cast the only light by which the reason consents to be +guided. As these doctrines are intimately related both to higher +time and to trance revelations, some consideration of karma and +reincarnation may appropriately find place here. + + +KARMA AND REINCARNATION + +Karma is that self-adjusting force in human affairs which restores +harmony disturbed by action. It is the moral law of compensation, +and by its operation produces all conditions of life, misery and +happiness, birth, death, and re-birth; itself being both the cause +and the effect of action. Its operation is indicated in the phrase, +"Whatsoever a man soweth, that shall he also reap." + +The essential idea of reincarnation is indicated in the following +quotation from the Upanishads: "And as a goldsmith, taking a piece +of gold, turns it into another, newer, and more beautiful shape, so +does this Self, having thrown off this body and dispelled all +ignorance, make unto himself another and more beautiful shape." + +Reincarnation is the periodic "dip" of an immortal individual into +materiality for the working out of karma, after an interval, long or +short, spent under other conditions of existence. These alternations +constitute the broader and deeper diapason of human life, of which +the change from waking to sleeping represents the lesser, and the +momentary awareness and unawareness of the sense mechanism to +stimulation, the least. + +Thus a physical incarnation, in the broadest sense of the term, is +the interval, long or short, of the immersion of consciousness in +materiality. Under fatigue, the cell life withdraws; that is, it +ceases to respond to physical stimuli, and so passes out of +incarnation. When this occurs _en masse_ there transpires that +hiatus of the personal consciousness called sleep, and while sleep +lasts the personality is out of incarnation. After death--in the +interval between one life and the next--the specific memories of the +personality fade out as in sleep, or rather, become latent, leaving +the soul, the permanent life-center, clear and colorless, a +mysterious focus of spiritual forces and affinities (the seeds of +karma) ready for another sowing in the world of men. This center +of consciousness is thereupon drawn to the newly forming body, +the life environment of which will rightly and justly--perhaps +retributively--bring the tendencies and characteristics of the +conscious center into objectivity again. Character is destiny, and +character is self-created. "All that we are is the result of what we +have thought." But in the vast complexity and volume of human life +there is a constant production of forms, with all the varieties of +characteristics and capacities requisite to meet the needs of every +soul, thirsty for the destiny that awaits it; and here heredity +plays its part. Beyond the individual soul is the world-soul, which +periodically incarnates in the humanity of a planet, and beyond the +worlds of a single system, suns and congeries of suns. + +The profound and pregnant doctrines of karma and reincarnation, here +so sketchily outlined, are but expansions of one of the fundamental +propositions of all Eastern philosophical systems, that the effect is +the unfolding of the cause in time. + +To omit a consideration of karma and reincarnation in connection +with higher time would be to force a passage and then not follow +where it leads. The idea of time curvature is implicit in the ideas +of karma and reincarnation. For what is karma but the return of time, +the flowering in the present of some seed sown elsewhere and long ago? +And what is reincarnation but the major cycle of that sweep into +objective existence and out again, of which the alternation between +waking and sleeping is the lesser counterpart? + + +COLONEL DE ROCHAS' EXPERIMENTS + +During the past few years evidence has been accumulating that we +never really forget anything. We have rediscovered the memory of the +subconscious mind. It is generally known that in the mesmeric or +somnambulistic sleep things hopelessly beyond recall for the +habitual mind come to the surface, in fragments, or in whole series, +as the case may be. It is perhaps news to some readers, however, +that the memory of past lives has been recovered in this way. This +but confirms the Eastern secret teaching that could we remember our +dream experiences we should recover the knowledge of our past +incarnations. + +Among the achievements of Eastern hypnotism is the recovery of the +memory of past births. Colonel de Rochas appears to have paralleled +this achievement in the West. Certain of his experiments have been +admirably reported by Maurice Maeterlinck in the eighth chapter of +_Our Eternity_. Maeterlinck's account, somewhat condensed, is +given here, because it so well illustrates the liberation of +consciousness from the tyranny of time as we conceive it. He says: + +"First of all, it is only right to say that Colonel de Rochas is a +savant who seeks nothing but objective truth and does so with a +scientific strictness and integrity that have never been questioned. +He puts certain exceptional subjects into a hypnotic sleep and, by +means of downward passes, makes them trace back the whole course of +their existence. He thus takes them successively to their youth, +their adolescence and down to the extreme limits of their childhood. +At each of these hypnotic stages, the subject reassumes the +consciousness, the character and the state of mind which he +possessed at the corresponding stage in his life. He goes over the +same events, with their joys and their sorrows. If he has been ill, +he once more passes through his illness, his convalescence and his +recovery. + +"Let us, to come to details, take one of the simplest cases. The +subject is a girl of eighteen, called Joséphine. She lives at Voiron, +in the department of Isére. By means of downward passes she is +brought back to the condition of a baby at its mother's breast The +passes continue and the wonder-tale runs its course. Joséphine can +no longer speak; and we have the great silence of infancy, which +seems to be followed by a silence more mysterious still. Joséphine +no longer answers except by signs: _she is not yet born_. 'She is +floating in darkness.' They persist; the sleep becomes heavier; and +suddenly, from the depths of that sleep, rises the voice of another +being, a voice unexpected and unknown, the voice of a churlish, +distrustful and discontented old man. They question him. At first he +refuses to answer, saying that 'of course he's there, and he's +speaking;' that 'he sees nothing;' and 'he's in the dark.' They +increase the number of passes and gradually gain his confidence. His +name is Jean Claude Bourdon; he is an old man; he has long been +ailing and bedridden. He tells the story of his life. He was born at +Champvent, in the parish of Polliat, in 1812. He went to school +until he was eighteen and served his time in the army with the +Seventh Artillery at Besançon; and he describes his gay time there, +while the sleeping girl makes gestures of twirling an imaginary +moustache. When he goes back to his native place, he does not marry, +but he has a mistress. He leads a solitary life (I omit all but the +essential facts), and dies at the age of seventy, after a long +illness. + +"We now hear the dead man speak; and his posthumous revelations are +not sensational, which, however, is not an adequate reason for +doubting their genuineness. He feels himself growing out of his body; +but he remains attached to it for a fairly long time. His fluidic +body, which is at first diffused, takes a more concentrated form. He +lives in darkness, which he finds disagreeable; but he does not +suffer. At last, the night in which he is plunged is streaked with a +few flashes of light. The idea comes to reincarnate himself and he +draws near to her who is to be his mother (that is, the mother of +Joséphine). He encircles her until the child is born, whereupon he +gradually enters the child's body. Until about the seventh year, his +body is surrounded by a sort of floating mist, in which he used to +see many things which he has not seen since. + +"The next thing to be done is to go back beyond Jean Claude. A +mesmerization lasting nearly three-quarters of an hour, without +lingering at any intermediate stage, brings the old man back to +babyhood. A fresh silence, a new limbo; and then, suddenly, another +voice and an unexpected individual. This time it is an old woman who +has been very wicked; and so she is in great torment (she is dead, +at the actual instant; for, in this inverted world, lives go +backward and of course begin at the end). She is in deep darkness, +surrounded by evil spirits. She speaks at first in a faint voice, +but always gives definite replies to the questions put to her, +instead of cavilling at every moment, as Jean Claude did. Her name +is Philoméne Carteron. + +"'By intensifying the sleep,' adds Colonel de Rochas, whom I will +now quote, 'I induce the manifestations of a living Philoméne. She +no longer suffers, seems very calm and always answers coldly and +distinctly. She knows that she is unpopular in the neighborhood, but +no one is a penny the worse and she will be even with them yet. She +was born in 1702; her maiden name was Philoméne Cherpigny; her +grandfather on the mother's side was called Pierre Machon and lived +in Ozan. In 1732 she married, at Chevroux, a man named Carterton, by +whom she had two children, both of whom she lost.'" + +Before her incarnation, Philoméne had been a little girl who died in +infancy. Previous to that, she was a man who committed murder, and +it was to expiate this crime that she endured such suffering in the +darkness, and after her life as a little girl, when she had no time +to do wrong. Colonel de Rochas did not think it wise to carry the +hypnosis further, because the subject appeared exhausted and her +paroxysms were painful to watch. He obtained analogous and even more +surprising results with other subjects. + +Maeterlinck's comments upon all this are of negligible value. He +pays a fine tribute to the theory of reincarnation. "There was never +a more beautiful, a juster, a purer, a more moral, fruitful and +probable creed," he says: yet for all that, it is clear that he has +not been at pains fully to inform himself of the Eastern teaching. + +Colonel de Rochas' success, and that of all other experimenters +along these lines, is due to their unconscious following of the +Eastern method. He himself says that he "avoided everything that +should put the subject on a definite tack,"--that is, he refrained +from voluntary suggestion. + +Having referred so frequently and so familiarly to the Eastern +belief in reincarnation, and hinted at a more solid foundation for +that belief than the single series of experiments above referred to, +it would be unfair to the reader not to gratify his curiosity more +fully in regard to these matters. In the light of our hypothesis +they take on an importance which justifies their further +consideration here. + + + + +VIII THE EASTERN TEACHING + + +ORIENTAL PHYSICS AND METAPHYSICS + +Western physical science, pursued with ardor and devotion for the +past hundred years, has attained to a control over physical phenomena +little short of magical, but in our understanding and mastery of +subjective phenomena we are far behind those Eastern peoples who +have made these matters the subject of study and experiment for +thousands of years. The informed Hindu, rightly or wrongly, regards +the Western practice of hypnotism, both in its methods and in its +results, with mingled horror and contempt. To him it is not +different from Black Magic, pernicious to operator and subject alike, +since it involves an unwarrantable tyranny of the will on the part +of the operator, and a dangerous submission to the obsession of an +invading will on the part of the subject. Eastern hypnotism--at its +highest and best--is profoundly different from Western, in that the +sanctity of the individual is respected. Its aim is not to enslave +the will, but temporarily to emancipate consciousness, under +favorable circumstances, from its physical limitation. + +Eastern practical psychology and metaphysics can be understood only +through a knowledge of Eastern physics. These we would call +transcendental, since they recognize not one theatre of consciousness, +but three: the gross, the subtle, and the pure. These correspond to +the material, the etherial, and the empyreal worlds of Greek +philosophy, and to the physical, astral, and mental planes of modern +Theosophy. They may be thought of as universal substance in three +different octaves of vibration. Upon this, the trained will of man +is able to act directly, for the reason that--as claimed by +Balzac--it is a _living_ force. + +In Eastern hypnotism the gross vibrations of the physical vehicle +are inhibited by the will of the operator, putting the body of the +subject to sleep, whereat the consciousness, free in its subtle body, +awakens to a dimensionally higher world. The operator, by means of +questions, reaps such profit as he may by following the "true dreams" +of the entranced subject, scrupulously refraining from imposing his +own will further than is necessary to obtain the information which he +seeks. The higher power of Eastern hypnotism, totally unknown in the +West, consists of inhibiting the subtle vibrations of the astral +vehicle also, permitting the consciousness to revert to its +"pure" condition. In these deep states of trance the subject is able +to communicate knowledges shut away from the generality of +men--among them the knowledge of past births. + + +THE SELF-RECOVERED MEMORY OF PAST BIRTHS + +The strength of will necessary to accomplish this higher power of +hypnotism is achieved by arduous and long-continued exercises in +concentration, by the practice of a strict morality, and by +submission to a physical regimen which few Occidentals would care to +undergo. Severe as is this training, it is less so than that which +the true Yogi imposes upon himself, and its fruits are less. The +achievement to which he addresses himself is far beyond that of the +most accomplished hypnotist. The Yogi scorns all supernormal powers, +even while possessing them. The Yogi, as the word implies--it means +literally union--seeks to unite himself with his own higher self, the +eternal and immortal part of his own nature, and the achievement of +this brings with it the freedom of the three worlds at all times, +and in full consciousness. As this involves an inward turning of the +mind and will, and the withdrawal from the ordinary active life of +average humanity, he alone is witness of his own success. "The rest +is silence." + +The knowledge of past births which may be obtained by the +questionable and cumbersome method of hypnotism is one of the +wayside flowers which the Yogi may pluck, if he will, on his path +towards perfection. There are definite rules for the attainment of +this knowledge, and they conform so closely to Colonel de Rochas' +method--save for the fact that operator and subject are one and not +twain--that it will be interesting to give them here. The ensuing +passage is from the _Vishuddhi Marga_, or _Path of Purity_, a work +written some sixteen hundred years ago by the famous sage, +Buddhaghosha, whose name signifies the Voice of Buddha, the revealer +of Buddha's teachings. It is quoted in Charles Johnston's _The +Memory of Past Births_. + +"The devotee, then, who tries for the first time to call to mind +former states of existence, should choose a time after breakfast, +when he has returned from collecting alms, and is alone and plunged +in meditation, and has been absorbed in the four trances in +succession. On rising from the fourth trance, which leads to the +higher powers, he should consider the event which last took place, +namely, his sitting down; next, the spreading of the mat; the +entering of the room; the putting away of bowl and robe; his eating; +his leaving the village; his going the rounds of the village for alms; +his entering the village for alms; his departure from the monastery; +his offering adoration in the courts of the shrine and of the Bodhi +tree; his washing the bowl; what he did between taking the bowl and +rinsing his mouth; what he did at dawn; what he did in the middle +watch of the night; what he did in the first watch of the night. +Thus he must consider what he did for a whole day and night, going +backwards over it in reverse order. + +"In the same reverse order he must consider what he did the day +before, the day before that, up to the fifth day, the tenth day, a +fortnight ago, a month ago, a year ago; and having in the same +manner considered the previous ten and twenty years, and so on up to +the time of his conception in this birth, he must then consider the +name and form which he had at the moment of death in his last birth. +But since the name and form of the last birth came quite to an end, +and were replaced by others, this point of time is like thick +darkness, and difficult to be made out by the mind of any person +still deluded. But even such a one should not despair nor say: 'I +shall never be able to penetrate beyond conception, or take as the +object of my thought the name and form which I had in my last birth, +at the moment of death,' but he should again and again enter the +trance which leads to the higher powers, and each time he rises from +the trance, he should again intend his mind upon that point of time. + +"Just as a strong man in cutting down a mighty tree to be used as +the peaked roof of a pagoda, if the edge of his axe be turned in +lopping off the branches and twigs, will not despair of cutting down +the tree, but will go to an iron-worker's shop, have his axe +sharpened, return, and go on with his cutting; and if the edge of +his axe be turned a second time, he will a second time have it +sharpened, and return, and go on with his cutting; and since nothing +that he chopped once needs to be chopped again, he will in no long +time, when there is nothing left to chop, fell that mighty tree. In +the same way the devotee rising from the trance which leads to the +higher powers, without considering what he has considered once, and +considering only the moment of conception, in no long time will +penetrate beyond the moment of conception, and take as his object +the name and form which he had at the moment of death, in his last +birth. + +"His alert attention having become possessed of this knowledge, he +can call to mind many former states of existence, as, one birth, two +births, three births, four births, five births, and so on, in the +words of the text." + +This quotation casts an interesting light upon Eastern monasticism. +The Buddhist monasteries are here revealed as schools of practical +psychology, the life of the monk a life of arduous and unceasing +labor, but labor of a sort which seems but idleness. The successive +"initiations" which are the milestones on the "Path of Perfection" +upon which the devotee has set his feet represent successive +emancipations of consciousness gained through work and knowledge. +Their nature may best be understood by means of a fanciful analogy. + + +RELEASE + +If we assume that all life is conscious life, as much aware of its +environment as the freedom of movement of its life vehicle in that +environment permits, a corpuscle vibrating in a solid would have a +certain sense of space and of movement in space gained from its own +experience. Now imagine the solid, which is its world, to be +subjected to the influence of heat. When the temperature reached a +certain point the solid would transform itself into a liquid. To the +corpuscle all the old barriers would seem to be broken down; space +would be different, time would be different, and its world a +different place. Again, at another increase of temperature, when the +liquid became a gas, the corpuscle would experience a further +emancipation: it would possess a further freedom, with all the facts +of its universe to learn anew. + +Each of these successive crises would constitute for it an initiation, +and since the heat has acted upon it from within, causing an +expansion of its life vehicle, it would seem to itself to have +attained to these new freedoms through self-development. + +The parallel is now plain to the reader: the corpuscle is the Yogi, +bent on liberation: the heat which warms him is the Divine Love, +centered in his heart, his initiations are the successive +emancipations into higher and higher spaces, till he attains +Nirvana--inherits the kingdom prepared for him from the foundation +of the world. As latent heat resides in the corpuscle, so is _Release_ +hidden in the heart--release from time and space. The perception of +this prompted the exultant apostrophe of Buddha, "Looking for the +maker of this tabernacle, I have run through a course of many births, +not finding him; and painful is birth again and again. But now, +maker of the tabernacle, thou hast been seen; thou shalt not make up +this tabernacle again. All thy rafters are broken, thy ridge-pole is +sundered; the mind, approaching the Eternal, has attained the +extinction of all desires." + +Upon the mystery of Nirvana the Higher Space Hypothesis casts not a +little light. To "approach the Eternal" can only be to approach a +condition where time is not. Because there is an escape from time in +proportion as space dimensions are added to, and assimilated by, +consciousness, any development involving this element of space +conquest (and evolution is itself such a development) involves time +annihilation also. To be in a state of desire is to be conditioned +by a limitation, because one can desire only that which one has not +or is not. The extinction of a desire is only another name for the +transcending of a limitation--of all desires, of all limitations. If +these limitations are of space they are of time also; therefore is +the "approach to the Eternal" through the "extinction of all desire." +Christ said, "Him that overcometh will I make a pillar of the temple +of my God, and he shall go no more out"--go out, that is, into +incarnation--into "time, besprent with seven-hued circumstance." + +Such are the testimonies of the world-saviors regarding the means +and end of liberation. Below them on the evolutionary ladder stand +the mystics, earth-bound, but soul-free; below them, in turn, yet +far above common humanity, stand the men of genius, caught still in +the net of passion, but able, in their work, to reflect something of +the glory of the supernal world. Let us consider, in the next two +chapters, each of these in turn. + + + + +IX THE MYSTICS + + +HERMES TRISMEGISTUS + +The mystic, however far removed he may be from Nietzsche's ideal of +the Superman, nevertheless represents superhumanity in the domain of +consciousness. By means of quotations, taken almost at random from +the rich literature of mysticism, the author will attempt to show +that the consciousness of the mystic involves the awareness of +dimensionally higher worlds. The first group of quotations is culled +from certain of the Sacred Books of Hermes Trismegistus. + +"_Comprehend clearly_" (says Hermes to Asclepios) "_that this +sensible world is enfolded, as in a garment, by the supernal world_." + +We think of our three dimensional space, "the sensible world," as +_immersed_ in higher space; "enfolded as in a garment," therefore. +And we think of the objects of our world as having extension in a +dimensionally higher region, that "supernal world" in which the +phenomena of this sensible world arise. For: + +"_Celestial order reigns over terrestrial order: all that is done +and said upon earth has its origin in the heights, from which all +essences are dispensed with measure and equilibrium: nor is there +anything which does not emanate from one above and return thither_" + + +THE PAGE AND THE PRESS + +The idea of an all-embracing unity within and behind the seeming +manifoldness of life forms the ground rhythm of all inspired +literature, sacred and profane alike. For clarity and conciseness it +would be difficult to improve upon the formulation of this idea +contained in the following fragment: + +"_In the manifold unity of universal life the innumerable +individualities distinguished by their variations are, nevertheless, +united in such a manner that the whole is one, and that everything +proceeds from unity_. + +"_For all things depend upon unity, or develop from it, and because +they appear distant from one another it is believed that they are +many, whereas in their collectivity they form but one_." + +Now nothing so successfully resolves this paradox of the one and the +many as the concept that the things of this world are embraced and +united in a dimensionally higher world in a manner analogous to that +in which all conic sections are embraced and united within the cone. +A more elaborate and fanciful figure may serve to make this clearer +to the mind. + +Conceive of this printed page as a plane world in which every letter +is a person; every word a family; phrases and sentences, larger +communities and groups. These "innumerable individualities, +distinguished by their variations" must needs seem to themselves as +"distant from one another," their very differences of form and +arrangement a barrier to any superior unity. Yet all the while, +solely by reason of this diversity, they are co-operating towards an +end of which they cannot be aware. The mind of the reader unites and +interprets the letters into continuous thought, though they be +voiceless as stones to one another. Even so may our sad and stony +identities spell out a world's word which we know not of, by reason +of our singularity and isolation. Moreover, in the electrotype block, +the solid of which the printed page constitutes a plane presentment, +all the letters are actually "united in such a manner that the whole +is one." The metal that has moulded each into its significant form +amalgamates them into a higher unity. So also the power that makes +us separate is the same power that makes us one. + + +THE SHIP AND ITS CAPTAIN + +Here follows the lament of the souls awaiting incarnation: + + "_Behold the sad future in store for us--to minister to the wants of + a fluctuating and dissoluble body! No more may our eyes distinguish + the souls divine! Hardly through these watery spheres shall we + perceive, with sighs, our ancestral heaven: at intervals even we + shall cease altogether to behold it. By this disastrous sentence + direct vision is denied to us; we can see only by the aid of the + outer light; these are but windows that we possess--not eyes. Nor + will our pain be less when we hear in the fraternal breathing of the + winds with which no longer can we mingle our own, since ours will + have for its dwelling, instead of the sublime and open world, the + narrow prison of the breast_!" + +That the soul--the so-called subliminal self--draws from a broader, +deeper experience than the purely rational consciousness is a +commonplace of modern psychology. Hinton conceives of the soul as +_higher-dimensional_ with relation to the body, but so concerned +with the management and direction of its lower-dimensional vehicle +as to have lost, for the time being, its orientation, thinking and +moving only in those ways of which the body is capable. The analogy +he uses, of a ship and its captain, is so happy, and the whole +passage has so direct a bearing upon the Hermetic fragment quoted, +that it is given here entire. + +"I adopt the hypothesis that that which thinks in us has an ample +experience, of which the intuitions we use in dealing with the world +of real objects are a part; of which experience, the intuition of +four-dimensional forms and motions is also a part. The process we +are engaged in intellectually is the reading of the obscure signals +of our nerves into a world of reality, by means of intuitions +derived from the inner experience. + +"The image I form is as follows: Imagine the captain of a modern +battleship directing its course. He has his charts before him; he is +in communication with his associates and subordinates; can convey his +messages and commands to every part of the ship, and receive +information from the conning tower and the engine room. Now suppose +the captain, immersed in the problem of the navigation of his ship +over the ocean, to have so absorbed himself in the problem of the +direction of the craft over the plane surface of the sea that he +forgets himself. All that occupies his attention is the kind of +movement that his ship makes. The operations by which that movement +is produced have sunk below the threshold of his consciousness; his +own actions, by which he pushes the buttons, gives the orders, are +so familiar as to be automatic; his mind is on the motion of the +ship as a whole. In such a case we can imagine that he identifies +himself with the ship; all that enters his conscious thought is the +direction of its movement over the plane surface of the ocean. + +"Such is the relation, as I imagine it, of the soul to the body. A +relation which we can imagine as existing momentarily in the case of +the captain is the normal one in the case of the soul with its craft. +As the captain is capable of a kind of movement, an amplitude of +motion, which does not enter into his thoughts with regard to the +directing of the ship over the plane surface of the ocean, so the +soul is capable of a kind of movement, has an amplitude of motion, +which is not used in its task of directing the body in the +three-dimensional region in which the body's activity lies. If for +any reason it becomes necessary for the captain to consider +three-dimensional motions with regard to his ship, it would not be +difficult for him to gain the materials for thinking about such +motions; all he has to do is to call experience into play. As far as +the navigation of the ship is concerned, however, he is not obliged +to call on such experience. The ship as a whole simply moves on a +surface. The problem of three-dimensional movement does not +ordinarily concern its steering. And thus with regard to ourselves +all those movements and activities which characterize our bodily +organs are three-dimensional; we never need to consider the ampler +movements. But we do more than use these movements of our body to +effect our aims by direct means; we have now come to the pass when +we act indirectly on nature, when we call processes into play which +lie beyond the reach of any explanation we can give by the kind of +thought which has been sufficient for the steering of our craft as a +whole. + +"When we come to the problem of what goes on in the minute and apply +ourselves to the mechanism of the minute, we find our habitual +conceptions inadequate. The captain in us must wake up to his own +intimate nature, realize those functions of movement which are his +own, and in the virtue of his knowledge of them apprehend how to +deal with the problems he has come to." + + _The Fourth Dimension_. + +How more accurately and eloquently could "the captain in us," +momentarily aroused, give voice to his predicament, than in the words, +"_Instead of the sublime and open world, the narrow prison of the +breast_." + + +DIRECT VISION + +The "watery spheres" in the Hermetic fragment are of course the eyes, +a mechanism inferior in many ways to the camera of man's own devising. +The phenomena of clairvoyance make known a mode of vision which is +confined to no specific sense organ, approximating much more closely +to true perception than does physical sight. Mr. C.W. Leadbeater in +_Clairvoyance_ specifically affirms that this higher power of +sight is four-dimensional. He says: "The idea of the fourth +dimension as expounded by Mr. Hinton is the only one which gives any +kind of explanation down here of astral vision ... which lays every +point in the interior of a solid body absolutely open to the gaze of +the seer, just as every point of the interior of a circle lies open +to the gaze of a man looking down upon it." "I can see all around and +every way," exclaims one of the psychometers reported in William +Denton's _The Soul of Things_. + +The "outer light" by which the physical eye is able to see objects +is sunlight. Upon this clairvoyant vision in no wise depends, +involving, as it does, other octaves of vibration. We should be able +to receive ideas of this order without incredulity since the advent +of "dark" photography and the ultra-violet microscope. By aid of the +latter, photographs are taken in absolute darkness, the lenses used +being transparent to light rays invisible to the eye, but active +photographically. + +The foregoing passages from _The Virgin of the World_ show a +remarkable resemblance between the Hermetic philosophy and modern +higher-space thought. The parallelism is not less striking in the +case of certain other mystic philosophers of the East. + + +PLATO'S SHADOW-WATCHERS + +"Parmenides," says Hinton, "and the Asiatic thinkers with whom he is +in close affinity, propound a theory of existence which is in close +accord with a conception of a possible relation between a higher and +a lower-dimensional space." He concludes, "Either one of two things +must be true, that four-dimensional conceptions give a wonderful +power of representing the thought of the East, or that the thinkers +of the East must have been looking at and regarding four-dimensional +existence." + +It would not be difficult to re-state, in terms of our hypothesis, +Plato's doctrine of an enduring archetypal world of ideas reflected +in a world of transitory images and appearances. Fortunately, Plato +has relieved the author of that necessity by doing it himself in his +wonderful allegory of the shadow-watchers in _The Republic_. The +trend of his argument is clear; as its shadow is to a solid object, +so is the object itself to its archetypal idea. This is the manner +in which he presents this thought: + +"Imagine a number of men living in an underground cavernous chamber, +with an entrance open to the light, extending along the entire +length of the cavern, in which they have been confined, from their +childhood, with their legs and neck so shackled, that they are +obliged to sit still and look straight forwards, because their +chains render it impossible for them to turn their heads round: and +imagine a bright fire burning some way off, above and behind them, +and an elevated roadway passing between the fire and the prisoners, +with a low wall built along it, like the screens which conjurors put +up in front of their audience, and above which they exhibit their +wonders." + + "I have it," he replied. + +"Also, figure to yourself a number of persons walking behind this +wall, and carrying with them statues of men, and images of other +animals, wrought in wood, stone, and all kinds of materials, together +with various other articles, which overtop the wall; and, as you +might expect, let some of the passers-by be talking, and others +silent" + +"You are describing a strange scene, and strange prisoners." + +"They resemble us," I replied. "For let me ask you, in the first +place, whether persons so confined could have seen anything of +themselves or of each other, beyond the shadows thrown by the fire +upon the part of the cavern facing them." + +"Certainly not, if you suppose them to have been compelled all their +lifetime to keep their heads unmoved." + +"And is not their knowledge of the things carried past them equally +limited?" + +"Unquestionably it is." + +"And if they were able to converse with one another, do you not +think that they would be in the habit of giving names to the objects +which they saw before them?" + +"Doubtless they would." + +"Again: if their prison house returned an echo from the part facing +them, whenever one of the passers-by opened his lips, to what, let +me ask you, could they refer the voice, if not to the shadow which +was passing?" + +"Unquestionably they would refer it to that." + +"Then surely such persons would hold the shadows of the manufactured +articles to be the only realities." + +"Without a doubt they would." + +Plato (in the person of Socrates) then considers what would happen +if the course of nature brought to the prisoners a release from +their fetters and a remedy for their foolishness, and concludes as +follows: + +"Now this imaginary case, my dear Glaucon, you must apply in all its +parts to our former statements, by comparing the region which the +eye reveals, to the prison-house, and the light of the fire therein +to the power of the sun; and if, by the upward ascent and the +contemplation of the upper world, you understand the mounting of the +soul in the intellectual region, you will hit the tendency of my own +surmises ... the view which I take of the subject is to the +following effect." + +Briefly, the view taken is that the "Form of Good" perceived by the +mind is the source of everything that is perceived by the senses. +This is equivalent to saying that the objects of our three-space +world are projections of higher-dimensional realities--that there is +a supernal world related to this world as a body is related to the +shadow which it casts. + + +SWEDENBORG + +Emerson, in his _Representative Men_, chose Swedenborg as the +representative mystic. He accepted Swedenborg's way of looking at +the world as universally characteristic of the mystical temperament. +The Higher Space Theory was unheard of in Swedenborg's day, +nevertheless in his religious writings--thick clouds shot with +lightning--the idea is implicit and sometimes even expressed, though +in a terminology all his own. + +To Swedenborg's vision, as to Plato's, this physical world is a +world of ultimates, in all things correspondent to the casual world, +which he names "heaven." "_It is to be observed_," he says, +"_that the natural world exists and subsists from the spiritual world, +just as an effect exists from its efficient cause_." + +According to Swedenborg, conditions in "heaven" are different from +those in the world: space is different: distance is different He says, +"_Space in heaven is not like space in the world, for space in the +world is fixed, and therefore measurable: but in heaven it is not +fixed and therefore cannot be measured_." + +Herein is suggested a _fluidic_ condition, singularly in accord with +certain modern conceptions in theoretical physics. Commenting upon +the significance of Lobatchewsky's and Bolyai's work along the lines +of non-Euclidian geometry, Hinton says, "By immersing the conception +of distance in matter, to which it properly belongs, it promises to +be of the greatest aid in analysis, for the effective distance of +any two particles is the result of complex material conditions, and +cannot be measured by hard and fast rules." + +The higher correlative of physical distance is a difference of state +or condition, according to the Norwegian seer. "_Those are far apart +who differ much_," he says "_and those are near who differ little_." +Distance in the spiritual world, he declares, originates solely +"_in the difference in the state of their minds, and in the heavenly +world, from the difference in the state of their loves_." This +immediately suggests the Oriental teaching that the place and human +environment into which a man is born have been determined by his own +thoughts, desires, and affections in anterior existences, and that +instant by instant all are determining their future births. The +reader to whom the idea of reincarnation is repellent or unfamiliar +may not be prepared to go this length, but he must at least grant +that in the span of a single lifetime thought and desire determine +action, and consequently, position in space. The ambitious man goes +from the village to the city; the lover of nature seeks the wilds; +the misanthrope avoids his fellowmen, the gregarious man gravitates +to crowds. We seek out those whom we love, we avoid those whom we +dislike; everywhere the forces of attraction and repulsion play +their part in determining the tangled orbits of our every-day lives. +In other words, the subjective, and (hypothetically) higher activity +in every man records itself in a world of three dimensions as action +upon an environment. Thought expresses itself in action, and so +flows outward into space. + +Observe how perfectly this fits in with Swedenborg's contention that +physical remoteness has for its higher correspondence a difference +of love and of interest; and physical juxtaposition, a similarity of +these. In heaven, he says, "Angels of similar character are as it +were spontaneously drawn together." So would it be on earth, but for +impediments inherent in our terrestrial space. Swedenborg's angels +are men freed from these limitations. We suffer because the free +thing in us is hampered by the restrictions of a space to which it +is not native. Reason sufficient for such restriction is apparent in +the success that crowns every effort at the annihilation of space, +and the augmentation of power and knowledge that such effort brings. +It would appear that a narrowing of interest and endeavor is always +the price of efficiency. The angel is confined to "the narrow prison +of the breast" that it may react upon matter just as an axe is +narrowed to an edge that it may cleave. + + +MAN THE SPACE-EATER + +Man has been called the thinking animal. _Space-eater_ would be a +more appropriate title, since he so dauntlessly and persistently +addresses himself to overcoming the limitations of his space. To +realize his success in this, compare, for example, the voyage of +Columbus' caravels with that of an ocean liner; or traveling by +stage coach with _train de luxe_. Consider the telephone, +the phonograph, the cinematograph, from the standpoint of +space-conquest--and wireless telegraphy which sends forth messages +in every direction, over sea and land. Most impressive of all are +the achievements in the domain of astronomy. One by one the sky has +yielded its amazing secrets, till the mind roams free among the stars. +The reason why there are to-day so many men braving death in the air +is because the conquest of the third dimension is the task to which +the Zeit-Geist has for the moment addressed itself, and these +intrepid aviators are its chosen instruments--sacrificial pawns in +the dimension-gaining game. + +All these things are only the outward and visible signs of the angel, +incarnate in a world of three dimensions, striving to realize higher +spatial, or heavenly, conditions. This spectacle, for example, of a +millionaire hurled across a continent in a special train to be +present at the bedside of a stricken dear one, may be interpreted as +the endeavor of an incarnate soul to achieve, with the aid of human +ingenuity applied to space annihilation, that which, discarnate, it +could compass without delay or effort. + + +THE WITHIN AND WITHOUT + +In Swedenborg's heaven "_all communicate by the extension of the +sphere which goes forth from the life_ _of every one. The sphere of +their life is the sphere of their affections of love and hate_." + +This is as fair a description of thought transference and its +necessary condition as could well be devised, for as in wireless +telegraphy, its mechanical counterpart, it depends upon synchronism +of vibration in a "sphere which goes forth from the life of every one." +Thought transference and kindred phenomena in which all categories +of space and time lose their significance baffle our understanding +because they appear to involve the idea of being in two places--in +many places--at once, a thing manifestly at variance with our own +conscious experience. It is as though the pen point should suddenly +become the sheet of paper. But strange as are these matters and +mysterious as are their method, no other hypothesis so well explains +them as that they are higher-dimensional experiences of the self. We +have the universal testimony of all mystics that the attainment of +mystical consciousness is by inward contemplation--turning the mind +back upon itself. Swedenborg says, "_It can in no case be said that +heaven is outside of any one, but it is within him for every angel +participates in the heaven around him by virtue of the heaven which +is within him_." Christ said, "_The Kingdom of Heaven is within you_," +and there is a saying attributed to Him to the effect that "_When +the outside becomes the inside, then the Kingdom of Heaven is come_." +These and such arcane sayings as "_Know Thyself_" engraved upon the +lintels of ancient temples of initiation, powerfully suggest the +possibility that by penetrating to the center of our individual +consciousness we expand outwardly into the cosmic consciousness as +though _in_ and _out_ were the positive and negative of a new +dimension. By exerting a force in the negative direction upon a +slender column of water in a hydraulic press, it is possible to +raise in the positive direction a vast bulk of water with which that +column, through the mechanism of the press, is connected. This is +because both columns, the little and the big, enclose one body of +fluid. The attainment of higher states of consciousness is potential +in every one, for the reason that the consciousness of a greater +being flows through each individual. + + +INTUITION AND REASON + +There is the utmost unanimity in the testimony of the mystics that +the world without and the world within are but different aspects of +the same reality--"_The eye with which I see God is the same eye with +which He sees me_." They never weary of the telling of the +solidarity and invisible continuity of life, the inclusion not only +of the minute in the vast, but of the vast in the minute. We may +accept this form of perception as characteristic of consciousness in +its free state. Its instrument is the _intuition_, which divines +relations between diverse things through a perception of unity. The +instrument of the purely mundane consciousness, on the other hand, +is the _reason_, which dissevers and dissects phenomena, divining +unity through correlation. Now if physical phenomena, in all their +manifoldness, are lower-dimensional projections, upon a +lower-dimensional space, of a higher unity, then reason and +intuition are seen to be two modes of one intelligence, engaged in +apprehending life from below (by means of the reason) through its +diversity, and from above (by means of intuition) through its unity. + +Those who recognize in the intuition a valid organ of knowledge, are +disposed to exalt it above the reason, but at our present state of +evolution, and given our environment, it would seem that the reason +is the more generally useful faculty of the two. In that unfolding, +that manifesting of the higher in the lower--which is the idea the +four-dimensionalist has of the world--the painstaking, minute, +methodical action of the reasoning mind applied to phenomena +achieves results impossible to Pisgah-sighted intuition. The power, +peculiar to the reason, of isolating part after part from the whole +to which it belongs, and considering them thus isolated, makes +possible in the end a synthesis in which the whole is not merely +glimpsed, but known to the last detail. + +The method of the reason is symbolized in so trifling a thing as the +dealing out one by one of a pack of cards and their reassembling. +The pack has been made to show forth its content by a process of +disruption--of slicing. Similarly, if a scientist wants to gain a +thorough comprehension of a complicated organism, he dissects it, or +submits it to a process of slicing, studying each slice separately +under the microscope while keeping constantly in mind the relation +of one slice to another. This amounts to nothing less than reducing +a thing from three dimensions to two, in order to know it thoroughly. +Now the flux of things corresponds to the four-dimensional aspect of +the world, and with this the reason finds it impossible to deal. As +Bergson has so well shown, the reason cuts life into countless +cross-sections: a thing must be dead before it can be dissected. +This is why the higher-dimensional aspect of life, divined by the +intuition, escapes rational analysis. + + +THE COIL OF LIFE + +Swedenborg's description of "the ascent and descent of forms" and +the "forces and powers" which flow therefrom, suggests, by reason of +the increasing amplitude and variety of form and motion, a +progression from space to space. This description is too long and +involved to find place here, but its conclusion is as follows: + +"_Such now is the ascent and descent of forms or substances in the +greatest, and in our least universe: similar also is the descent of +all forces and powers which flow from them. But all their perfection +consists in the possibility and virtue of varying themselves, or of +changing states, which possibility increases with their elevations, +so that in number it exceeds all the series of calculations unfolded +by human minds, and still inwardly involved by them: which +infinities finally become what is finite in the Supreme. Our ideas +are merely progressions by variations of form, and thus by actual +changes of state_." + +His sense of the beauty and orderliness of the whole process, and +his despair of communicating it, find characteristic utterance in +the following passage: + +"_If thou could'st discern, my beloved, how distinctly and +ordinately these forms are arranged and connected with each other, +from the mere aspect and infinity of so many wonderful things +connected with each other, from the mere aspect and infinity of so +many wonderful things conspiring into one, thou would'st fall down, +from an inmost impulse, with sacred astonishment, and at the same +time pious joy, to perform an act of worship and of love before such +an architect_." + +In his description of the manner in which these forms cohere and +successively unfold, he introduces one of the basic concepts of +higher space thought; namely, that in the "descent of forms" from +space to space, that which in the higher exists all together--that +is, _simultaneously_--can only manifest itself in the lower +piecemeal--that is, _successively_. He says: + +"_Nothing is together in any texture or effect which was not +successively introduced; and everything is therein, according as +order itself introduces it: wherefore simultaneous order derives its +birth, nature and perfection from successive orders, and the former +is only rendered perspicuous and plain by the latter.... What is +supreme in things successive takes the inmost place in things +simultaneous: thus things superior in order super-involve things +inferior and wrap them together, that these latter may become +exterior in the same order: by this method first principles, which +are also called simple, unfold themselves, and involve themselves in +things posterior or compound: wherefore every perfection of what is +outermost flows forth from inmost principles by their series: hence +thy beauty, my daughter, the only parent of which is order itself_." + +This passage, like a proffered dish full of rare fruit, tempts the +metaphysical appetite by the wealth and variety of its appeal; but +not to weary the reader, the author will content himself by the +abstraction of a single plum. The plum in question is simply this +(and the reader is asked to read the quotation carefully again): may +not every act, incident, circumstance in a human life be the +"uncoiling" of a karmic aggregate? This coil of life may be thought +of most conveniently in this connection as the _character_ of the +person, a character built up, or "successively introduced" in +antecedent lives. The sequence of events resultant on its "unwinding" +would be the destiny of the person--a destiny determined, necessarily, +by past action. This concept gives a new and more eloquent meaning +to the phrase "Character is destiny." If we carry our thought no +further, we are plunged into the slough of determinism--sheer +fatality. But in each reincarnation, however predetermined every act +and event, their reaction upon consciousness remains a matter of +determination--is therefore _self_-determined. We may not control +the event, but our acceptance of it we may control. Moreover, each +"unwinding" of the karmic coil takes place in a new environment, in a +world more highly organized by reason of the play upon it of the +collective consciousness of mankind. Though the same individual +again and again intersects the stream of mundane experience, it is an +evolving ego and an augmenting stream. Therefore each life of a +given series forms a different, a more intricate, and a more amazing +pattern: in each the thread is drawn from nearer the central energy, +which is divine, and so shows forth more of the coiled power within +the soul. + + + + +X GENIUS + + +IMMANENCE + +The greatest largess to the mind which higher thought brings is the +conviction of a transcendent existence. Though we do not know the +nature of this existence, except obscurely, we are assured of its +reality and of its immanence, through a growing sense that all that +happens to us is simply our relation to it. + +In our ant-like efforts to attain to some idea of the nature of this +transcendent reality, let us next avail ourselves of the help +afforded by the artist and the man of genius, too troubled by the +flesh for perfect clarity of vision, too troubled by the spirit not +to attempt to render or record the Pisgah-glimpses of the +world-order now and then vouchsafed. For the genius stands midway +between man and Beyond-man: in Nietzsche's phrase, "Man is a bridge +and not a goal." + +Of all the writers on the subject of genius, Schopenhauer is the +most illuminating, perhaps because he suffered from it so. According +to him, the essence of genius lies in the perfection and energy of +its _perceptions_. Schopenhauer says, "He who is endowed with talent +thinks more quickly and more correctly than others; but the genius +beholds another world from them all, although only because he has a +more profound perception of the world which lies before them also, +in that it presents itself in his mind more objectively, and +consequently in greater purity and distinctness." This profounder +perception arises from his detachment: his intellect has to a +certain extent freed itself from the service of his will, and leads +an independent life. So long as the intellect is in the service of +the will, that which has no relation to the will does not exist for +the intellect; but along with this partial severance of the two +there comes a new power of perception, synthetic in its nature, a +complex of relationships not reproducible in _linear_ thought, for +the mind is oriented simultaneously in _many_ different directions. +Of this order of perception the well-known case of Mozart is a +classic example. He is reported to have said of his manner of +composing, "I can see the whole of it in my mind at a single glance ... +in which way I do not hear it in my imagination at all as +succession--the way it comes later--but all at once, as it were. It +is a rare feast! all the inventing and making goes on in me as in a +beautiful strong dream." + + +TIMELESSNESS + +The inspirations of genius come from a failure of attention to life, +which, all paradoxically, brings vision--the power to see life +clearly and "see it whole." Consciousness, unconditioned by time, +"in a beautiful strong dream," awakens to the perception of a world +that is timeless. It brings thence some immortelle whose power of +survival establishes the authenticity of the inspiration. However +local and personal any masterpiece may be, it escapes by some potent +magic all geographical and temporal categories, and appears always +new-born from a sphere in which such categories do not exist. + +No writer was more of his period than Shakespeare, yet how +contemporary he seems to each succeeding generation. Leonardo, in a +perfect portrait, showed forth the face of a subtle, sensuous, and +mocking spirit, against a background of wild rocks. It represents +not alone the soul-phase of the later Renaissance, but of every +individual and of every civilization which on life's dangerous and +orgiastic substratum has reared a mere garden of delight. Living +hearts throb to the music penned by the dead hand of Mozart and of +Beethoven; the clownings of Aristophanes arouse laughter in our +music halls; Euripides is as subtle and world-weary as any modern; +the philosophies of Parminides and Heraclitus are recrudescent in that +of Bergson; and Plato discusses higher space under a different name. + + +BEYOND GOOD AND EVIL: BEAUTY + +The second characteristic of works of genius is their indifference +to all man-made moral standards. They are beyond all that goes by +the name of good and evil, in that the two are used indifferently +for the furtherance of a purely aesthetic end. The Beyond-man +discovers beauty in the abyss, and ugliness in mere worldly rectitude. +Leonardo painted the Medusa head, with its charnel pallor and its +crown of writhing snakes, no less lovingly than the sweet-tender +face of the Christ of the Cenacolo, and the beauty is not less, +though of an opposite sort. Shakespeare's most profound sayings and +most magical poetry are as often as not put in the mouths of his +villains and his clowns. To genius, pain is purgation; ugliness, +beauty in disturbance. It injects the acid of irony into success, +and distils the attar of felicity from failure. It teaches that the +blows of fate are aimed, not at us, but at our fetters; that death +is swallowed up in victory, that the Hound of Heaven is none other +than the Love of God. + +Though genius rebels at our moralities, it always submits itself to +beauty. Emerson says, "Goethe and Carlyle, and perhaps Novalis, have +an undisguised dislike or contempt for common virtue standing on +common principles. Meantime they are dear lovers, steadfast +maintainers of the pure, ideal morality. But they worship it as the +highest beauty, their love is artistic." And so it is throughout the +whole hierarchy of men of genius. "Beauty is Truth: Truth, Beauty," +is the motto which guides their far-faring feet, as they lead us +wheresoever they will. With Victor Hugo, we follow, undisgusted, +through the sewers of old Paris: his sense of beauty disinfects them +for us. With Balzac and Tolstoy we gaze unrevolted upon the +nethermost depths of human depravity, discerning moral beauty even +there; while with Virgil, Dante and Milton, we walk unscathed in +Hell itself. The _terribilita_ of Michaelangelo, the chaos and +anarchy of Shakespeare at his greatest, as in Lear--these find +expression in perfect rhythms, so potent that we recognize them as +proceeding from a supernal beauty, the beauty of that soul "from +which also cometh the life of man and of beast, and of the birds of +the air and of the fishes of the sea." + + +THE DAEMONIC + + "Unknown,--albeit lying near,-- + To men the path to the Daemon sphere." + +But to men of genius--"Minions of the Morning Star"--the path is not +unknown, and for this reason the daemonic element constantly shows +itself in their works and in their lives. Dante, Cellini, Goethe, +three men as unlike in the nature of their several gifts and in +their temperaments as could easily be named together, are drawn to a +common likeness through the daemonic gleam which plays and hovers +over them at times. With William Blake it was a flame that wrapped +him round. Today no one knows how Brunelleschi was able to construct +his great dome without centering, nor how Michaelangelo could limn +his terrible figures on the wet plaster of the Sistine vault with +such extraordinary swiftness and skill; but we have their testimony +that they invoked and received divine aid. Shakespeare, the +master-magician, is silent on this point of supernatural +assistance--as on all points--except as his plays speak for him; +but how eloquently they speak! "The Tempest" is made up of the +daemonic; the murky tragedy of "Macbeth" unfolds under the guidance +of incarnate forces of evil which drive the hero to his doom and +final deliverance in death: Hamlet sees and communes with the ghost +of his father; in short, the supernatural is as much a part of these +plays as salt is part of the ocean. If from any masterpiece we could +abstract everything not strictly rational--every element of wonder, +mystery, and enchantment--it would be like taking all of the unknown +quantities out of an equation: there would be nothing left to solve. +The mind of genius is a wireless station attuned to the vibrations +from the daemonic sphere; the works of genius fascinate and delight +us largely for this reason: we, too, respond to these vibrations and +are demonologists in our secret hearts. + +For the interest which we take in genius has its root in the +interest which we take in ourselves. Genius but utters experiences +common to us all, records perceptions of a world-order which we too +have glimpsed. Love, hope, pain, sorrow, disappointment, often +effect that momentary purgation which enables consciousness to +function independently of the tyrant will. These hours have for us a +noetic value--"some veil did fall"--revealing visions remembered +even unto the hour of death. + + +"DEATH" + +That "failure of attention to life" which begets inspiration in the +man of genius comes, indeed, daily to every one, but without his +being able to profit by it. For what is sleep but a failure of +attention to life--so complete a failure that memory brings back +nothing save that little caught in the net of dreams--yet even this +little is so charged with creative energy as to give rise to the +saying that every man is a genius in his dreams. + +Death also is a failure of attention to life, the greatest that we +know, and poorest therefore in plunder from supernatural realms. +Nevertheless reports of persons who have narrowly escaped death give +evidence at least that to those emancipated by death, life, viewed +from some higher region of space, is perceived as a unity. When a +man is brought face to face with death, the events of life pass +before the mind's eye in an instant, and he comes from such an +experience not only with deeper insight into himself, but into the +meaning and purpose of life also. The faces of the dead, those +parchments where are written the last testament of the departed +spirit, bear an expression of solemn peace, sometimes of joy, +sometimes of wonder: terror and agony are seldom written there, save +when the fatal change comes in some painful or unnatural way. + + +THE PLAY OF BRAHM + +Inspiration, dreams, visions at the moment of death--these things we +say are _irrational_, and so in a sense they are. Bergson has +compared the play of reason upon phenomena to the action of a +cinematograph machine which reproduces the effect of motion by +flashing upon the screen a correlated series of _fixed_ images. In +like manner the reason dissects the flux of life and presents it to +consciousness part by part, but never as a whole. In supernormal +states however we may assume that with the breakdown of some barrier +life flows in like a tidal wave, paralyzing the reason, and +therefore presenting itself in an irrational manner to consciousness. +Were reason equal to the strain put upon it under these circumstances, +in what light might the phantasmagoria of human life appear? Might +it not be perceived as a representation, merely, of a supernal world, +higher-dimensional in relation to our own? Just as a moving picture +shows us the round and living bodies of men and women as flat +images on a plane, enacting there some mimic drama, so on the +three-dimensional screen of the world men and women engaged in +unfolding the drama of personal life may be but the images of souls +enacting, on higher planes of being, the drama of their own salvation. +The reluctance of the American aborigine to be photographed is said +to have been due to his belief that something of his personality, +his human potency, went into the image, leaving him by so much the +poorer from that time forth. Suppose such indeed to be the case: +that the flat-man on the moving picture screen leads his little life +of thought and emotion, related to the mental and emotional life of +the living original as the body is related to its photographic +counterpart. In similar manner the potencies of the higher self, the +dweller in higher spaces, may flow into and express themselves in and +through us. We may be images in a world of images; our thoughts +shadows of archetypal ideas, our acts a shadow-play upon the +luminous screen of material existence, revealing there, however +imperfectly, the moods and movements of a higher self in a higher +space. + +The saying, "All the world's a stage," may be true in a sense +Shakespeare never intended. It formulates, in effect, the oldest of +all philosophical doctrines, that contained in the Upanishads of +Brahma, the Enjoyer, who takes the form of a mechanically perfect +universe in order to read his own law with eyes of his own creation. +"He thought: 'Shall I send forth worlds?' He sent forth these worlds." +To the question, "What worlds?" the Higher Space Hypothesis makes +answer, "Dimensional systems, from lowest to highest, each one a +_representation_ of the one next above, where it stands _dramatized_, +as it were. This is the play of Brahm; endlessly to dissever, in +time and space, and to unite in consciousness, like the geometrician +who discovers every ellipse, parabola, and hyperbola, in the cone +where all inhere." + +The particular act of the drama of unfolding consciousness upon +which the curtain is now upfurled is that wherein we discover the +world to be indeed a stage, a playground for forces masquerading as +forms: "they have their exits and their entrances," or, as expressed +in the Upanishads, "All that goes hence (dies on earth) heaven +consumes it all; and all that goes thence (returns from heaven to a +new life) the earth consumes it all." + + + + +XI THE GIFT OF FREEDOM + + +CONCEPT AND CONDUCT + +A surgeon once remarked to the author that among his professional +associates he had noticed an increasing awareness of the invisible. +This he claimed was manifest in the fact that the young men educated +since the rise of bacteriological science were more punctilious in +the matter of extreme personal cleanliness and the sterilization of +their instruments than the older and often more accomplished +surgeons whose habits in these matters had been formed before the +general sense of an _invisible_ menace had become acute. + +This anecdote well illustrates the unconscious reaction of new +concepts upon conduct. Preoccupation with the problems of space +hyper-dimensionality cannot fail to produce profound changes in our +ethical outlook upon life and in our attitude towards our fellow +beings. The nature of these changes it is not difficult to forecast. + +Although higher-space thought makes painfully clear our limitations, +it nevertheless leads to the perception that these very limitations +are inhibited powers. In this way it supplies us with a workable +method whereby we may enter that transcendental world of which we +glimpse so many vistas. This method consists in first becoming aware +of a limitation, and then in forcing ourselves to dramatize the +experience that would be ours if the limitation did not affect us. +We then discover in ourselves a power for transcending the limitation, +and presently we come to live in the new mode as easily as in the old. +Thought, conscious of its own limitations, leads to the New Freedom. +"Become what thou art!" is the maxim engraved upon the lintel of +this new Temple of Initiation. + + +SELFLESSNESS + +Higher-space speculation is an education in _selflessness_, for it +demands the elimination of what Hinton calls _self-elements_ of +observation. The diurnal motion of the sun is an example of a +self-element: it has nothing to do with the sun but everything to do +with the observer. The Ptolemaic system founded on this illusion +tyrannized over the human mind for centuries, but who knows of how +many other illusions we continue to be victims--for the worst of a +self-element is that its presence is never dreamed of until it is +done away with. The Theory of Relativity presents us with an effort +to get rid of the self-element in regard to space and time. A +self-centered man cannot do full justice to this theory: it requires +of the mind a certain detachment, and the idea becomes clear in +proportion as this detachment, this selflessness, is attained. + +So while it would be too much to claim that higher thought makes men +unselfish, it at least cracks the hard shell in which their +selfishness abides. If a man disciplines himself to abdicate his +personal point of view in thinking about the world he lives in, it +makes easier a similar attitude in relation to his fellow men. + + +HUMILITY + +One of the earliest effects of selfless thought is the exorcism of +all arrogance. The effort to dramatize the relation of an earthworm +to its environment makes us recognize that its predicament is our own, +different only in degree. We are exercising ourselves in humility +and meekness, but of a sort leading to a mastery that may well make +the meek the inheritors of the earth. Hinton was himself so meek a +man that his desire did not rise to the height of expecting or +looking for the beautiful or the good: he simply asked for something +to know. He despaired of knowing anything definitely and certainly +except arrangements in space. We have his testimony as to how +abundantly this hunger and thirst after that right knowledge which +is righteousness was gratified. "All I want to do," he says, +"is to make this humble beginning of knowledge and show how +inevitably, by devotion to it, it leads to marvellous and +far-distant truths, and how, by strange paths, it leads directly +into the presence of some of the highest conceptions which great +minds have given us." + +Here speaks the blessed man referred to by the psalmist, "Whose +delight is in the law of the Lord, and in His law doth he meditate +day and night." Abandoning a vain search after abstractions, and +applying his simple formula to life, Hinton found that it enabled +him to express the faith in his heart in terms conformable to reason; +that it led back to, and illumined the teachings of every spiritual +instructor and inspirer of mankind. + + +SOLIDARITY + +That we are all members of one body, branches of one vine, is a +matter of faith and of feeling; but with the first use of the weapon +of higher thought the paradox of the one and the many is capable of +so clear and simple a resolution that the sublime idea of human +solidarity is brought down from the nebulous heaven of the mystic to +the earth of every day life. To our ordinary space-thought, men are +isolated, distinct, each "an infinitely repellent particle," but we +conceive of space too narrowly. The broader view admits the idea +that men are related by reason of a superior union, that their +isolation is but an affair of limited consciousness. Applying this +concept to conduct, we come to discern a literal truth in the words +of the Master, "He who hath done it unto the least of these my +children, hath done it unto me," and "Where two or three are +gathered together in my name." If we conceive of each individual as a +"slice" or cross-section of a higher being, each fragment isolated +by an inhibition of consciousness which it is moment by moment +engaged in transcending, the sacrifice of the Logos takes on a new +meaning. This disseverance into millions of human beings is that +each may realize God in himself. Conceiving of humanity as God's +broken body, we are driven to make peace among its members, and by +realization we become the Children of God. + + +LIVE OPENLY + +"_Blessed are the meek," "Blessed are they that hunger and thirst +after righteousness." "Blessed are the peacemakers_." It would not +be impossible to trace a relation between higher space thought and +the other beatitudes also, but it will suffice simply to note the +fact that the central and essential teaching of the Sermon on the +Mount, "Let your light shine before men" is implicit in the +conviction of every one who thinks on higher space: he must _live +openly_. By continual dwelling upon the predicament of the flat-man, +naked, as it were, to observation from an eye which looks down upon +his plane, we come to realize our own exposure. In that large world +all that we think, or do, or imagine, lies open, palpable; there is +no such thing as secrecy. Imbued with this idea, we begin to live +openly because we must; but soon we come to do so because we desire +it. In making toward one another our limited lives open and manifest, +we treat each other in the service of truth as though we were all +members of that higher world. We imitate, in our world, our true +existence in a higher world, and so help to establish heavenly +conditions upon earth. + + +NON-RESISTANCE TO EVIL + +The problem of ugliness and evil would seem at first thought to be +totally unrelated to the subject of space hyperdimensionality, but +there is at least a symbolical relation. This was suggested to the +author by the endeavor of two friends whose interests were +pre-eminently mathematical to discover what certain four-dimensional +figures would look like in three-dimensional space. They found +that in a great number of cases these cross-sections, when +thus isolated, revealed little of the symmetry and beauty of their +higher-dimensional archetypes. It is clear that a beautiful form of +our world, traversing a plane, would show nothing of its beauty to +the planeman, who lacked the power of perceiving it entire; for the +sense of beauty is largely a matter of co-ordination. We give the +names of evil, chance, fate, ugliness, to those aspects of life and +of the world that we fail to perceive in their true relations, in +regard to which our power of correlation breaks down. Yet we often +find that in the light of fuller knowledge or subsequent experience, +the fortune which seemed evil was really good fortune in the making, +that the chance act or encounter was too momentous in its +consequences to be regarded as other than ordained. + +The self-element plays a large part in our idea of good and evil, +ugliness and beauty. "All things are as they seem to all." Desire of +her will make any woman beautiful, and fear will exercise an absolute +inhibition upon the aesthetic sense. As we recede in time from events, +they more and more emancipate themselves from the tyranny of our +personal prejudices and predilections, and we are able to perceive +them with greater clarity, more as they appear from the standpoint +of higher time and higher space. "Old, unhappy, far-off things, and +battles long ago" lose their poignancy of pain and take on the +poignancy of beauty. The memory of suffering endured is often the +last thing from which we would be parted, while humdrum happiness we +are quite willing to forget. Because we realize completely only in +retrospect, it may well be that the present exists chiefly for the +sake of the future. Then let the days come with veiled faces, accept +their gifts whose value we are so little able to appraise! There is +a profound and practical truth in Christ's saying, "Resist not evil." +Honor this truth by use, and welcome destiny in however sinister a +guise. + + +THE IMMANENT DIVINE + +In the fact of the limited nature of our space perceptions is found +a connecting link between materialism and idealism. For, passing +deeper and deeper in our observation of the material world, that +which we at first felt as real passes away to become but the outward +sign of a reality infinitely greater, of which our realities are +appearances only, and we become convinced of the existence of +_an immanent divine._ "In Him we live and move and have our being." +Our space is but a limitation of infinite "room to move about": +"_In my Father's house are many mansions_." Our time is but a +limitation of infinite duration: "_Before Abraham was, I am_." Our +sense of space is the consciousness that we abide in Him; our sense +of time is the consciousness that He abides in us. Both are modes of +apprehension of divinity--growing, expanding modes. In conceiving of +a space of more than three dimensions we prove that our relation to +God is not static, but dynamic. Christ said to the man who was sick +of the palsy, "Rise, take up thy bed and walk." The narrow concept +of three-dimensional space is a bed in which the human mind has lain +so long as to become at last inanimate. The divine voice calls to us +again to demonstrate that we are alive. Thinking in terms of the +higher we issue from the tomb of materialism into the sunlight of +that sane and life-giving idealism which is Christ's. + + + + + + + +End of Project Gutenberg's Four-Dimensional Vistas, by Claude Fayette Bragdon + +*** END OF THE PROJECT GUTENBERG EBOOK 11906 *** diff --git a/LICENSE.txt b/LICENSE.txt new file mode 100644 index 0000000..6312041 --- /dev/null +++ b/LICENSE.txt @@ -0,0 +1,11 @@ +This eBook, including all associated images, markup, improvements, +metadata, and any other content or labor, has been confirmed to be +in the PUBLIC DOMAIN IN THE UNITED STATES. + +Procedures for determining public domain status are described in +the "Copyright How-To" at https://www.gutenberg.org. + +No investigation has been made concerning possible copyrights in +jurisdictions other than the United States. Anyone seeking to utilize +this eBook outside of the United States should confirm copyright +status under the laws that apply to them. diff --git a/README.md b/README.md new file mode 100644 index 0000000..41b8da7 --- /dev/null +++ b/README.md @@ -0,0 +1,2 @@ +Project Gutenberg (https://www.gutenberg.org) public repository for +eBook #11906 (https://www.gutenberg.org/ebooks/11906) diff --git a/old/11906-8.txt b/old/11906-8.txt new file mode 100644 index 0000000..116c9e7 --- /dev/null +++ b/old/11906-8.txt @@ -0,0 +1,3887 @@ +Project Gutenberg's Four-Dimensional Vistas, by Claude Fayette Bragdon + +This eBook is for the use of anyone anywhere at no cost and with +almost no restrictions whatsoever. You may copy it, give it away or +re-use it under the terms of the Project Gutenberg License included +with this eBook or online at www.gutenberg.org + + +Title: Four-Dimensional Vistas + +Author: Claude Fayette Bragdon + +Release Date: April 4, 2004 [EBook #11906] + +Language: English + +Character set encoding: ISO-8859-1 + +*** START OF THIS PROJECT GUTENBERG EBOOK FOUR-DIMENSIONAL VISTAS *** + + + + +Produced by PG Distributed Proofreaders + + + + + + +FOUR-DIMENSIONAL +VISTAS + +by + +Claude Bragdon + +[Illustration] + +New York + + + + "_Perception has a destiny_." + _Emerson_. + + + + +INTRODUCTION + +There are two notable emancipations of the mind from the tyranny of +mere appearances that have received scant attention save from +mathematicians and theoretical physicists. + +In 1823 Bolyai declared with regard to Euclid's so-called axiom of +parallels, "I will draw two lines through a given point, both of +which will be parallel to a given line." The drawing of these lines +led to the concept of the curvature of space, and this to the idea +of _higher_ space. + +The recently developed Theory of Relativity has compelled the +revision of the time concept as used in classical physics. One +result of this has been to introduce the notion of _curved_ time. + +These two ideas, of curved time and higher space, by their very +nature are bound to profoundly modify human thought. They loosen the +bonds within which advancing knowledge has increasingly labored, +they lighten the dark abysses of consciousness, they reconcile the +discoveries of Western workers with the inspirations of Eastern +dreamers; but best of all, they open vistas, they offer "glimpses +that may make us less forlorn." + + + + +CONTENTS + + +I. THE QUEST OF FREEDOM + +The Undiscovered Country--Miracles--The Failure of Common Sense--The +Function of Science--Mathematics--Intuition--Our Sense of Space--The +Subjectivity of Space--The Need of an Enlarged Space-Concept. + +II. THE DIMENSIONAL LADDER + +Learning to Think in Terms of Spaces--From the Cosmos to the +Corpuscle--And Beyond--Evolution as Space-Conquest--Dimensional +Sequences--Man the Geometer--Higher, and Highest, Space. + +III. PHYSICAL PHENOMENA + +Looking for the Greater in the Less--Symmetry--Other Allied +Phenomena--Isomerism--The Orbital Motion of Spheres: Cell-Subdivision-- +The Electric Current--The Greater Universe--A Hint from Astronomy-- +Gravitation--The Ether of Space. + +IV. TRANSCENDENTAL PHYSICS + +Zöllner--Apparitions--Possession--Clairvoyance in Space--Clairvoyance +in Time--Pisgah Sights of Life's Pageant. + +V. CURVED TIME + +Time from the Standpoint of Experiment and of Conscious Experience-- +Relativity--The Spoon-Man--The Orbital Movement of Time--Materiality +the Mirror of Consciousness--Periodicity. + +VI. SLEEP AND DREAMS + +Sleep--Dreams--Time in Dreams--The Eastern Teaching in regard to Sleep +and Dreams--Space in Dreams--The Phenomenon of Pause. + + +VII. THE NIGHT SIDE OF CONSCIOUSNESS + +The Field of Psychic Research--Modifying the Past--Karma and +Reincarnation--Colonel De Rochas' Experiments. + +VIII. THE EASTERN TEACHING + +Oriental Physics and Metaphysics--The Self-Recovered Memory of past +Births--Release. + +IX. THE MYSTICS + +Hermes Trismegistus--The Page and the Press--The Ship and its +Captain--Direct Vision--Plato's Shadow-Watchers--Swedenborg--Man, +the Space-Eater--The Within and Without--Intuition and Reason--The +Coil of Life. + +X. GENIUS + +Immanence--Timelessness--Beyond Good and Evil: Beauty--The Daemonic-- +"A Dream and a Forgetting"--The Play of Brahm. + +XI. THE GIFT OF FREEDOM + +Concept and Conduct--Selflessness--Humility--Solidarity--Live Openly-- +Non-Resistance to Evil--The Immanent Divine. + + + + + +FOUR-DIMENSIONAL VISTAS + + + +I THE QUEST OF FREEDOM + + +THE UNDISCOVERED COUNTRY + +Expectancy of freedom is the dominant note of to-day. Amid the crash +of armies and the clash of systems we await some liberating stroke +which shall release us from the old dreary thralldoms. As Nietzsche +says, "It would seem as though we had before us, as a reward for all +our toils, a country still undiscovered, the horizons of which no +one has yet seen, a beyond to every country and every refuge of the +ideal that man has ever known, a world so overflowing with beauty, +strangeness, doubt, terror and divinity, that both our curiosity and +our lust of possession are frantic with eagerness." + +Should a name be demanded for this home of freedom, there are those +who would unhesitatingly call it _The Fourth Dimension of Space_. +For such readers as may be ignorant of the amazing content of this +seemingly meaningless phrase, any summary attempt at enlightenment +will lead only to deeper mystification. To the question, where and +what is the fourth dimension, the answer must be, it is here--in us, +and all about us--in a direction toward which we can never point +because at right angles to all the directions that we know. Our +space cannot contain it, because it contains our space. No walls +separate us from this demesne, not even the walls of our fleshly +prison; yet we may not enter, even though we are already "there." It +is the place of dreams, of living dead men: it is _At the Back of +the North Wind_ and _Behind the Looking Glass_. + +So might one go on, piling figure upon figure and paradox upon +paradox, to little profit. The effective method is the ordered and +deliberate one; therefore the author asks of his reader the +endurance of his curiosity pending certain necessary preparations of +the mind. + + +MIRACLES + +Could one of our aviators have landed in ancient Athens, doubtless +he would have been given a place in the Greek Pantheon, for the old +idea of a demigod was a man with wings. Why, then, does a flying man +so little amaze us? Because we know about engines, and the smell of +gasoline has dulled our sense of the sublime. The living voice of a +dead man leaves us unterrified if only we can be sure that it comes +from a phonograph; but let that voice speak to us out of vacancy and +we fall a prey to the same order of alarm that is felt by a savage +at the report of a gun that he has never seen. + +This illustration very well defines the nature of a miracle: it is a +manifestation of power new to experience, and counter to the current +thought of the time, Miracles are therefore always in order, they +always happen. It is nothing that the sober facts of to-day are more +marvellous than the fictions of Baron Munchausen, so long as we +understand them: it is everything that phenomena are multiplying, +that we are unable to understand. This increasing pressure upon +consciousness _from a new direction_ has created a need to found +belief on something firmer than a bottomless gullibility of mind. +This book is aimed to meet that need by giving the mind the freedom +of new spaces; but before it can even begin to do so, the reader +must be brought to see the fallacy of attempting to measure the +limits of the possible by that faculty known as common sense. And by +common sense is meant, not the appeal to abstract reason, but to +concrete experience. + + +THE FAILURE OF COMMON SENSE + +Common sense had scarce had its laugh at Bell, and its shout of +"I told you so!" at poor Langley, when lo! the telephone became the +world's nervous system, and aeroplanes began to multiply like summer +flies. To common sense the alchemist's dream of transmuting lead +into gold seems preposterous, yet in a hundred laboratories radium +is breaking down into helium, and the new chemistry bids fair to +turn the time-honored jeer at the alchemists completely upside down. +A wife whose mind was oriented in the new direction effectually +silenced her husband's ridicule of what he called her credulity by +reminding him that when wireless telegraphy was first suggested he +had exclaimed, "Ah, that, you know, is one of the things that is not +possible!" He was betrayed by his common sense. + +The lessons such things teach us are summed up in the reply of Arago, +the great savant, to the wife of Daguerre. She asked him if he +thought her husband was losing his mind because he was trying to +make permanent the image in a mirror. Arago is said to have answered, +"He who, outside of pure mathematics, says a thing is impossible, +speaks without reason." + +Common sense neither leads nor lags, but is ever limited to the +passing moment: the common knowledge of to-day was the mystery and +enchantment of the day before yesterday, and will be the mere +commonplace of the day after to-morrow. If common sense can so +little anticipate the ordinary and orderly advancement of human +knowledge, it is still less able to take that leap into the dark +which is demanded of it now. The course of wisdom is therefore to +place reliance upon reason and intuition, leaving to common sense +the task of guiding the routine affairs of life, and guiding these +alone. + + +THE FUNCTION OF SCIENCE + +In enlisting the aid of reason in our quest for freedom, we shall be +following in the footsteps of mathematicians and theoretical +physicists. In their arduous and unflinching search after truth they +have attained to a conception of the background of phenomena of far +greater breadth and grandeur than that of the average religionist of +to-day. As a mathematician once remarked to a neo-theosophist, +"Your idea of the ether is a more material one than the materialist's +own." Science has, however, imposed upon itself its own limitations, +and in this connection these should be clearly understood. + +Science is that knowledge which can be gained by exact observation +and correct thinking. If science makes use of any methods but these +it ceases to be itself. Science has therefore nothing to do with +morals: it gives the suicide his pistol, the surgeon his life-saving +lance, but neither admonishes nor judges them. It has nothing to do +with emotion: it exposes the chemistry of a tear, the mechanism of +laughter; but of sorrow and happiness it has naught to say. It has +nothing to do with beauty: it traces the movements of the stars, and +tells of their constitution; but the fact of their singing together, +and that "such harmony is in immortal souls," it leaves to poet and +philosopher. The timbre, loudness, pitch, of musical tones, is a +concern of science; but for this a Beethoven symphony is no better +than the latest ragtime air from the music halls. In brief, science +deals only with _phenomena_, and its gift to man is power over his +material environment. + + +MATHEMATICS + +The gift of pure mathematics, on the other hand, is primarily to the +mind and spirit: the fact that man uses it to get himself out of his +physical predicaments is more or less by the way. Consider for a +moment this paradox. Mathematics, the very thing common sense swears +by and dotes on, contradicts common sense at every turn. Common +sense balks at the idea of _less than nothing_; yet the _minus_ +quantity, which in one sense is less than nothing in that something +must be added to it to make it equal to nothing, is a concept +without which algebra would have to come to a full stop. Again, the +science of quaternions, or more generally, a vector analysis in +which the progress of electrical science is essentially involved, +embraces (explicitly or implicitly) the extensive use of _imaginary_ +or _impossible_ quantities of the earlier algebraists. The very +words "imaginary" and "impossible" are eloquent of the defeat of +common sense in dealing with concepts with which it cannot +practically dispense, for even the negative or imaginary solutions +of imaginary quantities almost invariably have some physical +significance. A similar statement might also be made with regard to +_transcendental_ functions. + +Mathematics, then, opens up ever new horizons, and its achievements +during the past one hundred years give to thought the very freedom +it seeks. But if science is dispassionate, mathematics is even more +austere and impersonal. It cares not for teeming worlds and hearts +insurgent, so long as in the pure clarity of space, relationships +exist. Indeed, it requires neither time nor space, number nor +quantity. As the mathematician approaches the limits already +achieved by study, the colder and thinner becomes the air and the +fewer the contacts with the affairs of every day. The Promethean +fire of pure mathematics is perhaps the greatest of all in man's +catalogue of gifts; but it is not most itself, but least so, when, +immersed in the manifoldness of phenomenal life, it is made to serve +purely utilitarian ends. + + +INTUITION + +Common sense, immersed in the mere business of living, knows no more +about life than a fish knows about water. The play of reason upon +phenomena dissects life, and translates it in terms of inertia. The +pure logic of mathematics ignores life and disdains its limitations, +leading away into cold, free regions of its own. Now our desire for +freedom is not to vibrate in a vacuum, but to live more abundantly. +_Intuition_ deals with life directly, and introduces us into +life's own domain: it is related to reason as flame is related to +heat. All of the great discoveries in science, all of the great +solutions in mathematics, have been the result of a _flash_ of +intuition, after long brooding in the mind. _Intuition illumines_. +Intuition is therefore the light which must guide us into that +undiscovered country conceded by mathematics, questioned by science, +denied by common sense--_The Fourth Dimension of Space_. + + +OUR SENSE OF SPACE + +Space has been defined as "room to move about." Let us accord to +this definition the utmost liberty of interpretation. Let us +conceive of space not alone as room to move ponderable bodies in, +but as room to think, to feel, to strike out in unimaginable +directions, to overtake felicities and knowledges unguessed by +experience and preposterous to common sense. Space is not measurable: +we attribute dimensionality to space because such is the method of +the mind; and that dimensionality we attribute to space is +progressive because progression is a law of the mind. The so-called +dimensions of space are to space itself as the steps that a climber +cuts in the face of a cliff are to the cliff itself. They are not +necessary to the cliff: they are necessary only to the climber. +Dimensionality is the mind's method of mounting to the idea of the +infinity of space. When we speak of the fourth dimension, what we +mean is the fourth stage in the apprehension of that infinity. We +might as legitimately speak of a fifth dimension, but the +profitlessness of any discussion of a fifth and higher stages lies +in the fact that they can be intelligently approached only through +the fourth, which is still largely unintelligible. The case is like +that of a man promised an increase of wages after he had worked a +month, who asks for his second month's pay before he is entitled to +the first. + + +THE SUBJECTIVITY OF SPACE + +Without going deep into the doctrine of the ideality--that is, the +purely subjective reality--of space, it is easy to show that we have +arrived at our conception of a space of three dimensions by an +intellectual process. The sphere of the senses is two-dimensional: +except for the slight aid afforded by binocular vision, sight gives +us moving pictures _on a plane_, and touch contacts _surfaces_ only. +What circumstances, we may ask, have compelled our intellect to +conceive of _solid_ space? This question has been answered as follows: + +"If a child contemplates his hand, he is conscious of its existence +in a double manner--in the first place by its tangibility, the +second by its image on the retina of his eye. By repeated groping +about and touching, the child knows by experience that his hand +retains the same form and extension through all the variations of +distance and position under which it is observed, notwithstanding +that the form and extension of the image on the retina constantly +change with the different position and distance of his hand in +respect to his eye. The problem is thus set to the child's +understanding: how to reconcile to his comprehension the apparently +contradictory facts of the _invariableness_ of the object together +with the _variableness_ of its appearance. This is only possible +within a space of three dimensions, in which, owing to perspective +distortions and changes, these variations of projection can be +reconciled with the constancy of the form of a body." + +Thus we have come to the idea of a three-dimensional space in order +to overcome the apparent contradictoriness of facts of sensible +experience. Should we observe in three-dimensional space +contradictory facts our reason would be forced to reconcile these +contradictions, also, and if they could be reconciled by the idea of +a four-dimensional space our reason would accept this idea without +cavil. Furthermore, if from our childhood, phenomena had been of +daily occurrence requiring a space of four or more dimensions for an +explanation conformable to reason, we should feel ourselves native +to a space of four or more dimensions. + +Poincaré, the great French mathematician and physicist, arrived at +these same conclusions by another route. By a process of +mathematical reasoning of a sort too technical to be appropriately +given here, he discovers an order in which our categories range +themselves naturally, and which corresponds with the points of space; +and that this order presents itself in the form of what he calls a +"three circuit distribution board." "Thus the characteristic property +of space," he says, "that of having three dimensions, is only a +property of our distribution board, _a property residing, so to speak, +in human intelligence_." He concludes that a different association +of ideas would result in a different distribution board, and that +might be sufficient to endow space with a fourth dimension. He +concedes that there may be thinking beings, living in our world, +whose distribution board has four dimensions, and who do +consequently think in hyperspace. + + +THE NEED OF AN ENLARGED SPACE-CONCEPT + +It is the contrariety in phenomena already referred to, that is +forcing advanced minds to entertain the idea of higher space. +Mathematical physicists have found that experimental contradictions +disappear if, instead of referring phenomena to a set of three space +axes and one time axis of reference, they be referred to a set of +four interchangeable axes involving four homogeneous co-ordinates. +In other words, _time_ is made the fourth dimension. Psychic +phenomena indicate that occasionally, in some individuals, +the will is capable of producing physical movements for whose +geometrico-mathematical definition a four-dimensional system of +co-ordinates is necessary. This is only another step along the road +which the human mind has always travelled: our conception of the +cosmos grows more complete and more just at the same time that it +recedes more and more beneath the surface of appearances. + +Far from the Higher Space Hypothesis complicating thought, it +simplifies by synthesis and co-ordination in a manner analogous to +that by which plane geometry is simplified when solid geometry +becomes a subject of study. By immersing the mind in the idea of +many dimensions, we emancipate it from the idea of dimensionality. +But the mind moves most readily, as has been said, in ordered +sequence. Frankly submitting ourselves to this limitation, even +while recognizing it as such, let us learn such lessons from it as +we can, serving the illusions that master us until we have made them +our slaves. + + + + +II THE DIMENSIONAL LADDER + + +LEARNING TO THINK IN TERMS OF SPACES + +The Reader who is willing to consider the Higher Space Hypothesis +seriously, who would discover, by its aid, new and profound truths +closely related to life and conduct, should first of all endeavor to +arouse in himself a new power of perception. This he will best +accomplish by learning to discern dimensional sequences, not alone +in geometry, but in the cosmos and in the natural world. By so doing +he may erect for himself a veritable Jacob's ladder, + + "Pitched between Heaven and Charing Cross." + +He should accustom himself to ascend it, step by step, dimension by +dimension. Then he will learn to trust Emerson's dictum, "Nature +geometrizes," even in regions where the senses fail him, and the mind +alone leads on. Much profitable amusement is to be gained by such +exercises as follow. They are in the nature of a running up and down +the scales in order to give strength and flexibility to a new set of +mental fingers. Learning to think in terms of spaces contributes to +our emancipation from the tyranny of space. + + +FROM THE COSMOS TO THE CORPUSCLE + +By way of a beginning, proceed, by successive stages, from the +contemplation of the greatest thing conceivable to the contemplation +of the most minute, and note the space sequences revealed by this +shifting of the point of view. + +The greatest thing we can form any conception of is the starry +firmament made familiar to the mind through the study of astronomy. +No limit to this vastitude has ever been assigned. Since the +beginning of recorded time, the earth, together with the other +planets and the sun, has been speeding through interstellar space at +the rate of 300,000,000 miles a year, without meeting or passing a +single star. A ray of light, travelling with a velocity so great as +to be scarcely measurable within the diameter of the earth's orbit, +takes years to reach even the nearest star, centuries to reach those +more distant. Viewed in relation to this universe of suns, our +particular sun and all its satellites--of which the earth is +one--shrinks to a point (a _physical_ point, so to speak--not +geometrical one). + +The mind recoils from these immensities: let us forsake them, then, +for more familiar spaces, and consider the earth in its relation to +the sun. Our planet appears as a _moving_ point, tracing out a +_line_--a _one-space_--its path around the sun. Now let us remove +ourselves in imagination only far enough from the earth for human +beings thereon to appear as minute moving things, in the semblance, +let us say, of insects infesting an apple. It is clear that from +this point of view these beings have a freedom of movement in their +"space" (the surface of the earth), of which the larger unit is not +possessed; for while the earth itself can follow only a _line_, its +inhabitants are free to move in the two dimensions of the surface of +the earth. + +Abandoning our last coign of vantage, let us descend in imagination +and mingle familiarly among men. We now perceive that these +creatures which from a distance appeared as though flat upon the +earth's surface, are in reality erect at right angles to its plane, +and that they are endowed with the power to move their members in +_three dimensions_. Indeed, man's ability to traverse the surface +of the earth is wholly dependent upon his power of three-dimensional +movement. Observe that with each transfer of our attention from +greater units to smaller, we appear to be dealing with a power of +movement in an additional dimension. + +Looking now in thought not _at_ the body of man, but _within_ it, we +apprehend an ordered universe immensely vast in proportion to that +physical ultimate we name the electron, as is the firmament immensely +vast in proportion to a single star. It has been suggested that in +the infinitely minute of organic bodies there is a power of movement +in a _fourth_ dimension. If so, such four-dimensional movement may +be the proximate cause of the phenomenon of _growth_--of those +chemical changes and renewals whereby an organism is enabled to +expand in three-dimensional space, just as by a three-dimensional +power of movement (the act of walking) man is able to traverse his +two-dimensional space--the surface of the earth. + + +--AND BEYOND + +Proceed still further. Behind such organic change--assumed to be +four-dimensional--there is the determination of some _will-to-live_, +which manifests itself to consciousness as thought and as desire. +Into these the idea of space does not enter: we think of them as in +_time_. But if there are developments of other dimensions of space, +thought and emotion may themselves be discovered to have space +relations; that is, they may find expression in the forms of _higher_ +spaces. Thus is opened up one of those rich vistas in which the +subject of the fourth dimension abounds, but into which we +can only glance in passing. If there are such higher-dimensional +_thought-forms_, our normal consciousness, limited to a world of +three dimensions, can apprehend only their three-dimensional aspects, +and these not simultaneously, but successively--that is, in _time_. +According to this view, any unified series of _actions_--for example, +the life of an individual, or of a group--would represent the +straining, so to speak, of a thought-form through our _time_, as the +bodies subject to these actions would represent its straining +through our space. + + +EVOLUTION AS SPACE-CONQUEST + +Evolution is a struggle for, and a conquest of, space; for evolution, +as the word implies, is a _drawing out_ of what is inherent from +latency into objective reality, or in other words into spatial--and +temporal--extension. + +This struggle for space, by means of which the birth and growth of +organisms is achieved, is the very texture of life, the plot of +every drama. Cells subdivide; micro-organisms war on one another; +plants contend for soil, light, moisture; flowers cunningly suborn +the bee to bring about their nuptials; animals wage deadly warfare +in their rivalry to bring more hungry animals into a space-hungry +world. Man is not exempt from this law of the jungle. Nations +intrigue and fight for land--of which wealth is only the symbol--and +a nation's puissance is measured by its power to push forward into +the territory of its neighbor. The self-same impulse drives the +individual. One measure of the difference between men in the matter +of efficiency is the amount of space each can command: one has a +house and grounds in some locality where every square inch has an +appreciable value; another some fractional part of a lodging house +in the slums. When this bloodless, but none the less deadly, contest +for space becomes acute, as in the congested quarters of great cities, +man's ingenuity is taxed to devise effective ways of augmenting his +_space-potency_, and he expands in a vertical direction. This +third-dimensional extension, typified in the tunnel and in the +skyscraper, is but the latest phase of a conquest of space which +began with the line of the pioneer's trail through an untracked +wilderness. + + +DIMENSIONAL SEQUENCES + +Not only does nature everywhere geometrize, but she does so in a +particular way, in which we discover dimensional sequences. Consider +the transformation of solid, liquid, gas, from one to another, under +the influence of heat. A solid, set in free motion, can follow only +a _line_--as is the case of a thrown ball. A liquid has the added +power of lateral extension. Its tendency, when intercepted, is to +spread out in the two dimensions of a _plane_--as in the case of a +griddle cake; while a gas expands universally in all directions, as +shown by a soap-bubble. It is a reasonable inference that the fourth +state of matter, the corpuscular, is affiliated to some +four-dimensional manner of extension, and that there may be states +beyond this, involving even higher development of space. + +Next glance at the vegetable kingdom. The seed, a _point_, generates +a _line_ system, in stem, branches, twigs, from which depend _planes_ +in the form of leaves and flowers, and from these come fruit, +_solids_. + + "The point, the line, the surface and the sphere, + In seed, stem, leaf and fruit appear." + +A similar sequence may be noted within the body: the _line_-network +of the nerves conveys the message of sensation from the _surface_ of +the body to some center in the _solid_, of the brain--and thence to +the Silent Thinker, "he who is without and within," or in terms of +our hypothesis, "he who dwells in higher space." + + +MAN THE GEOMETER + +When man essays the rôle of creator he cannot do otherwise than +follow similar sequences: it is easy to discern dimensional +progression in the products of man's ingenuity and skill. Consider, +for example, the evolution of a building from its inception to its +completion. It exists first of all in the mind of the architect, and +there it is indubitably higher-spatial, for he can interpenetrate +and examine every part, and he can consider it all at once, viewing +it simultaneously from without and from within, just as one would be +able to do in a space of four dimensions. He begins to give his idea +physical embodiment by making with a pencil-_point, lines_ on a +_plane_ (a piece of paper), the third dimension being represented +by means of the other two. Next (if he is careful and wise) he makes +a three-dimensional model. From the architect's drawings the engineer +establishes his points, lays out his angles, and runs his lines upon +the site itself. The mason follows, and with his footing courses +makes ponderable and permanent the lines of the engineer. These +lines become in due course walls--vertical planes. Floors and +roofs--horizontal planes--follow, until some portion of +three-dimensional space has been enclosed. + +Substantially the same sequence holds, whatever the kind of building +or the character of the construction--whether a steel-framed +skyscraper or a wooden shanty. A line system, represented by columns +and girders in the one case, and by studs and rafters in the other, +becomes, by overlay or interposition, a system of planes, so +assembled and correlated as to define a solid. + +With nearly everything of man's creating--be it a bureau or a +battleship--the process is as above described. First, a pattern to +scale; next, an actual linear framework; then planes defining a solid. +Consider almost any of the industries practiced throughout the ages: +they may be conceived of thus in terms of dimensions; for example, +those ancient ones of weaving and basket making. _Lines_ (threads in +the one case, rushes in the other) are wrought into _planes_ to +clothe a body or to contain a burden. Or think, if you choose, of +the modern industry of book-making, wherein types are assembled, +impressed upon sheets of paper, and these bound into volumes-- +_points, lines, planes, solids_. The book in turn becomes the unit +of another dimensional order, in the library whose serried shelves +form lines, which, combined into planes, define the lateral limits +of the room. + + +HIGHER--AND HIGHEST--SPACE + +These are truisms. What have they to do, it may be asked, with the +idea of _higher_ spaces? They have everything to do with it, for in +achieving the enclosure of any portion of solid space the limit of +known dimensions has been reached without having come to any end. +More dimensions--higher spaces--are required to account for higher +things. All of the products of man's ingenuity are inanimate except +as he himself animates them. They remain as they were made, machines, +not organisms. They have no inherent life of their own, no power of +growth and renewal. In this they differ from animate creation +because the highest achievement of the creative faculty in man in a +mechanical way lacks the life principle possessed by the plant. And +as the most perfect machine is inferior in this respect to the +humblest flower that grows, so is the highest product of the +vegetable kingdom inferior to man himself, the maker of the machine; +for he can reflect upon his own and the world's becoming, while the +plant can only become. + +What is the reason for these differences of power and function? +According to the Higher Space Hypothesis they are due to varying +potencies of movement in the secret causeways and corridors of space. +The higher functions of consciousness--volition, emotion, +intellection--may be in some way correlated with the higher powers +of numbers, and with the corresponding higher developments of space. +Thus would the difference between physics and metaphysics become a +difference of degree and not of kind. Evolution is to be conceived +of as a continuous pushing back of the boundary between +representation and reality, or as a conquest of space. We may +conceive of space as of an infinite number of dimensions, and of +consciousness as a moving--or rather as an expanding--point, +embracing this infinity, involving worlds, powers, knowledges, +felicities, within itself in everlasting progression. + + + + +III PHYSICAL PHENOMENA + + +LOOKING FOR THE GREATER IN THE LESS + +After the assured way in which the author has conducted the reader +repeatedly up and down the dimensional ladder, it may be a surprise +to learn that physical phenomena offer no irrefragable evidences of +hyper-dimensionality. We could not think in higher space if +consciousness were limited to three dimensions. The mathematical +reality of higher space is never in question: the higher dimensions +are as valid as the lower, but the hyper-dimensionality of matter is +still unproven. Man's ant-like efforts to establish this as a truth +have thus far been vain. + +Lest this statement discourage the reader at the very outset, he +should understand the reason for such failure. We are _embedded_ in +our own space, and if that space be embedded in higher space, how are +we going to discover it? If space is curved, how are we going to +measure its curvature? Our efforts to do so may be compared to +measuring the distance between the tips of a bent bow by measuring +along the bow instead of along the string. + +Imagine a scientifically-minded threadworm to inhabit a page of +Euclid's solid geometry: the evidences of three-dimensionality are +there, in the very diagrams underneath his eyes; but you could not +_show_ him a solid--the flat page could not contain it, any more +than our space can contain a form of four dimensions. You could only +say to him, "These lines _represent_ a solid." He would have to +depend on his _faith_ for belief and not on that "knowledge gained +by exact observation and correct thinking" in which alone the +scientist finds a sure ground for understanding. + +It is an axiom of science never to look outside three-space horizons +for an understanding of phenomena when these can logically be +accounted for within those horizons. Now because, on the Higher +Space Hypothesis, each space is the container of all phenomena of +its own order, the futility, for practical purposes, of going +outside is at once apparent. The highly intelligent threadworm +neither knows nor cares that the point of intersection of two lines +in his diagram _represents_ a point in a space to which he is a +stranger. The point is there, on his page: it is what he calls a +_fact_. "Why raise" (he says) "these puzzling and merely academic +questions? Why attempt to turn the universe completely upside down?" + +But though no _proofs_ of hyper-dimensionality have been found in +nature, there are equally no contradictions of it, and by using a +method not inductive, but deductive, the Higher Space Hypothesis +is plausibly confirmed. Nature affords a sufficient number of +_representations_ of four-dimensional forms and movements to justify +their consideration. + + +SYMMETRY + +Let us first flash the light of our hypothesis upon an all but +universal characteristic of living forms, yet one of the most +inexplicable--_symmetry_. + +Animal life exhibits the phenomenon of the right-and left-handed +symmetry of solids. This is exemplified in the human body, wherein +the parts are symmetrical with relation to the axial _plane_. +Another more elementary type of symmetry is characteristic of the +vegetable kingdom. A leaf in its general contour is symmetrical: +here the symmetry is about a _line_--the midrib. This type of +symmetry is readily comprehensible, for it involves simply a +revolution through 180 degrees. Write a word on a piece of paper and +quickly fold it along the line of writing so that the wet ink +repeats the pattern, and you have achieved the kind of symmetry +represented in a leaf. + +With the symmetry of solids, or symmetry with relation to an axial +_plane_, no such simple movement as the foregoing suffices to +produce or explain it, because symmetry about a plane implies +_four-dimensional_ movement. It is easy to see why this must be so. +In order to achieve symmetry in any space--that is, in any given +number of dimensions--there must be revolution in the next higher +space: one more dimension is necessary. To make the (two-dimensional) +ink figure symmetrical, it had to be folded over _in the third +dimension_. The revolution took place about the figure's _line_ of +symmetry, and in a _higher_ dimension. In _three_-dimensional +symmetry (the symmetry of solids) revolution must occur about the +figure's _plane_ of symmetry, and in a higher--i.e., the _fourth_ +dimension. Such a movement we can reason about with mathematical +definiteness: we see the result in the right- and left-handed +symmetry of solids, but we cannot picture the movement ourselves +because it involves a space of which our senses fail to give any +account. + +Now could it be shown that the two-dimensional symmetry observed in +nature is the result of a three-dimensional movement, the right-and +left-handed symmetry of solids would by analogy be the result of a +_four_-dimensional movement. Such revolution (about a plane) would +be easily achieved, natural and characteristic, in four space, just +as the analogous movement (about a line) is easy, natural, and +characteristic, in our space of three dimensions. + + +OTHER ALLIED PHENOMENA + +In the mirror image of a solid we have a representation of what +would result from a four-dimensional revolution, the surface of the +mirror being the plane about which the movement takes place. If such +a change of position were effected in the constituent parts of a +body as a mirror image of it _represents_, the body would have +undergone a revolution in the fourth dimension. Now two varieties of +tartaric acid crystallize in forms bearing the relation to one +another of object to mirror image. It would seem more reasonable to +explain the existence of these two identical, but reversed, +varieties of crystal, by assuming the revolution of a single variety +in the fourth dimension, than by any other method. + +There are two forms of sugar found in honey, dextrose and levulose. +They are similar in chemical constitution, but the one is the +reverse of the other when examined by polarized light--that is, they +rotate the plane of polarization of a ray of light in opposite ways. +If their atoms are conceived to have the power of motion in the +fourth dimension, it would be easy to understand why they differ. +Certain snails present the same characteristics as these two forms +of sugar. Some are coiled to the right and others to the left; and +it is remarkable that, like dextrose and levulose, their juices are +optically the reverse of each other when studied by polarized light. + +Revolution in the fourth dimension would also explain the change in +a body from producing a right-handed, to producing a left-handed, +polarization of light. + + +ISOMERISM + +In chemistry the molecules of a compound are assumed to consist of +the atoms of the elements contained in the compound. These atoms are +supposed to be at certain distances from one another. It sometimes +happens that two compound substances differ in their chemical or +physical properties, or both, even though they have like chemical +elements in the same proportion. This phenomenon is called isomerism, +and the generally accepted explanation is that the atoms in isomeric +molecules are differently arranged, or grouped, in space. It is +difficult to imagine how atoms, alike in number, nature, and +relative proportion, can be so grouped as somehow to produce +compounds with different properties, particularly as in +three-dimensional space four is the greatest number of points whose +mutual distances, six in number, are all independent of each other. +In four-dimensional space, however, the _ten_ equal distances +between any two of _five_ points are geometrically independent, thus +greatly augmenting the number and variety of possible arrangements +of atoms. + +This just escapes being the kind of proof demanded by science. If +the independence of all the possible distances between the atoms of +a molecule is absolutely required by theoretical chemical research, +then science is really compelled, in dealing with molecules of more +than four atoms, to make use of the idea of a space of more than +three dimensions. + + +THE ORBITAL MOTION OF SPHERES: CELL SUB-DIVISION + +There is in nature another representation of hyper-dimensionality +which, though difficult to demonstrate, is too interesting and +significant to be omitted here. + +Imagine a helix, intersected, in its vertical dimension, by a moving +plane. If necessary to assist the mind, suspend a spiral spring +above a pail of water, then raise the pail until the coils, one +after another, become immersed. The spring would represent the helix, +and the surface of the water the moving plane. Concentrating +attention upon this surface, you would see a point--the elliptical +cross-section of the wire where it intersected the plane--moving +round and round in a circle. Next conceive of the wire itself as a +lesser helix of many convolutions, and repeat the experiment. The +point of intersection would then continually return upon its own +track in a series of minute loops forming those lesser loops, which, +moving circle-wise, registered the involvement of the helix in the +plane. + +It is easy to go on imagining complicated structures of the nature +of the spiral, and to suppose also that these structures are +distinguishable from each other at every section. If we think of the +intersection of these with the rising surface, as the atoms, or +physical units, of a plane universe, we shall have a world of +apparent motion, with bodies moving harmoniously amongst one another, +each a cross-section of some part of an unchanging and unmoving +three-dimensional entity. + +Now augment the whole by an additional dimension--raise everything +one space. The helix of many helices would become four-dimensional, +and superficial space would change to solid space: each tiny circle +of intersection would become a sphere of the same diameter, +describing, instead of loops, helices. Here we would be among +familiar forms, describing familiar motions: the forms, for example, +of the earth and the moon and of their motion about the sun; of the +atom, as we imagine it, the molecule and the cell. For is not the +sphere, or ovoid, the unit form of nature; and is not the spiral +vortex its characteristic motion, from that of the nebula in the sky +to the electron in the atom? Thus, on the hypothesis that our space +is traversing four-dimensional space, and that the forms of our +space are cross-sections of four-dimensional forms, the unity and +harmony of nature would be accounted for in a remarkably simple +manner. + +The above exercise of the imagination is a good preparation for the +next demand upon it. Conceive a dichotomous tree--one that always +divides into two branches--to pass through a plane. We should have, +as a plane section, a circle of changing size, which would elongate +and divide into two circles, each of which would do the same. This +reminds us of the segmentation of cell life observed under the +microscope, as though a four-dimensional figure were registering its +passage through our space. + + +THE ELECTRIC CURRENT + +Hinton conceived of an electric current as a four-dimensional vortex. +He declared that on the Higher Space Hypothesis the revolution of +the ether would yield the phenomenon of the electric current. The +reader is referred to Hinton's book, _The Fourth Dimension_, for an +extended development of this idea. What follows is a brief summary +of his argument. First, he examines the characteristics of a vortex +in a three-dimensional fluid. Then he conceives of what such a +vortex would be in a four-dimensional medium of analogous properties. +The whirl would be about a _plane_, and the contour of this plane +would correspond to the ends of the axis line in the former vortex; +and as before, the vortex would extend to the boundary. Every +electric current forms a closed circuit: this is equivalent to the +hyper-vortex having its ends in the boundary of the hyper-fluid. The +vortex with a _surface_ as its axis, therefore, affords a geometric +image of a closed circuit. + +Hinton supposes a conductor to be a body which has the property +of serving as a terminal abutment to such a hyper-vortex as has +been described. The conception that he forms of a closed current, +therefore, is of a vortex sheet having its _edge_ along the +circuit of the conducting wire. The whole wire would then be like +the centers on which a spindle turns in three-dimensional space, +and any interruption of the continuity of the wire would produce +a _tension_ in place of a continuous revolution. The phenomena +of electricity--polarity, induction, and the like--are of the nature +of the stress and strain of a medium, but one possessing properties +unlike those of ordinary matter. The phenomena can be explained in +terms of higher space. If Hinton's hypothesis be the true explanation, +the universality of electro-magnetic action would again point to the +conclusion that our three-dimensional world is _superficial_--the +surface, that is, of a four-dimensional universe. + + +THE GREATER UNIVERSE + +This practically exhausts the list of accepted and accredited +indications of hyper-dimensionality in our physical environment. But +if the collective human consciousness is moving into the fourth +dimension, such indications are bound to multiply out of all measure. +It should be remembered that in Franklin's day electricity was +manifest only in the friction of surfaces and in the thunderbolt. +To-day all physical phenomena, in their last analysis, are considered +to be electrical. The world is not different, but perception has +evolved, and is evolving. + +There is another field, in which some of our ablest minds are +searching for evidences of the curvature of space, the field of +astronomy and astro-physics. But into this the layman hesitates to +enter because the experts themselves have found no common ground of +understanding. The ether of space is a battlefield strewn with dead +and dying hypotheses; gravitation, like multiplication, is vexation; +the very nature of time, form and movement is under vivid discussion, +in connection with what is known as the Theory of Relativity. + +Notwithstanding these counter-currents of speculation, which should +make the wise man speak smilingly of his wisdom, this summary +remains incomplete without a reference to the pressure of higher +space upon those adventurous minds that essay to deal with the +profound problems of the greater universe, and a statement of the +reasons for their feeling this pressure. These reasons are well +suggested by Professor B.G. Harrison, in his _Popular Astronomy_. He +says: "With the idea of a universe of finite dimensions there is the +obvious difficulty of the beyond. The truth is that a universe of +finite proportions is equally difficult to realize as one of +infinite extent. Perhaps the nearest analogy to infinity that we can +understand lies in our conception of a closed curve. It seems easier +to imagine the endless movement of a sphere in a circular path than +the case of one travelling in a straight line. Possibly this analogy +may apply in some way to fourth-dimensional space, but the manner of +its application is certainly not easy to understand. If we would +imagine that all co-ordinates of time and space were curved, and +eventually return to the same point, it might bring the ultimate +comprehension one degree nearer." + + +A HINT FROM ASTRONOMY + +The physical evidence that our space is thus curved in higher space, +some have considered astronomy to furnish in what is called the +"negative parallax" of certain distant stars. This cannot be passed +by, though it is too deeply involved with the probable error of the +observers themselves to be considered more than an interesting fact +in this connection. Every one knows that the difference of angle +under which an object is seen from two standpoints is called its +parallax. The parallax of the stars--and the consequent knowledge of +their distance--is obtained by observing them from opposite points +of the earth's orbit around the sun. When a star is within measurable +distance, these angles are acute, and the lines from the star to the +earth at opposite sides of its orbit converge, therefore. But when +these lines, as sometimes happens, appear to be _divergent_, the +result is called a _negative_ parallax, and is explainable by higher +space relationships. Obviously, the divergence of the lines would +indicate that the object lies _behind_ the observer instead of in +front of him. This anomaly can be explained by the curvature of space +in the fourth dimension. If space is so curved, the path of light +itself is curved also, and a man--were his vision immeasurably keen, +not to say telescopic--could see the back of his own head! It is not +worth while to give this question of negative parallax too much +importance, by reason of the probability of error, but in this +connection it should be stated that there appears to be an undue +number of negative parallaxes recorded. + + +GRAVITATION + +Gravitation remains a puzzle to science. The tendency of modern +physics is to explain all material phenomena in terms of electrons +and the ether, but the attempt to account for gravitation in this +way is attended with difficulties. In order to cope with these, it +seems necessary to assume that our universe is only a portion of a +greater universe. This assumption readily lends itself to the +conception of our universe as a three-dimensional meeting place of +two portions of a universe of four dimensions--that is, its +conception as a "higher" surface. This is a fundamental postulate of +higher space speculation. + +One hypothesis advanced to explain gravitation assumes the existence +of a constant hydrostatic pressure transmitted through the ether. A +steady flow of ether into every electron in a gravitating system of +bodies would give rise to forces of attraction between them, varying +inversely as the square of the distance, according to Newton's law. +But in order to avoid the conception of the continual destruction +and creation of ether, it is necessary to assume a steady flow +through every electron between our universe and the greater universe +of which it is assumed to form a part Now because the electrons, in +order to receive this flow, must lie on the boundary of this greater +universe, the latter must be four-dimensional. Every electron, in +other words, must be the starting point of a pathway into--and a +terminal point out of--four-dimensional space. Here we have another +familiar higher space concept. + + +THE ETHER OF SPACE + +The ether of space, because it has at last found entrance, must be +given a grudging hospitality in these pages, even though the +mysterious stranger prove but a ghost. The Relativists would have it +that with the acceptance of their point of view the ether may be +eliminated; but if they take away the ether, they must give us +something in its stead. In whatever way the science of the future +disposes of this problem, it must take into account the fact of +light transmission. On the theory that the ether is an elastic solid +of amazing properties, in which the light waves vibrate _transversely_ +to their direction, it assists the mind to think of the ether as +four-dimensional, because then a light wave would be a superficial +disturbance of the medium--superficial, but three-dimensional, as +must needs be the case with the surface of a four-dimensional solid. + + * * * * * + +This search for evidences of hyper-dimensionality in the universe +accessible to our senses is like looking, not for a needle in a +haystack, but for a haystack in a needle--for the greater in the less. +From the purely physical evidences, all that can with certainty be +said is that the hypothesis is not inconsistent with the facts of +science or its laws; that it is being verified and rendered more +probable by the investigations of science; that it is applicable to +the description or explanation of all the observed phenomena, and +assigns a cause fully adequate to have produced them. + +Now there is an order of phenomena that we call psychic. Because +they are phenomenal they cannot occur outside of time and space +altogether; because they are psychic they defy explanation in terms +of the space and time of every-day life. Let us next examine these +in the light of our hypothesis. + + + + +IV TRANSCENDENTAL PHYSICS + +ZÖLLNER + +In the year 1877, Johann Friedrich Zöllner, professor of physics and +astronomy at the University of Leipsic, undertook to prove that +certain (so-called) psychic phenomena were susceptible of explanation +on the hypothesis of a four-dimensional space. He used as +illustrations the phenomena induced by the medium Henry Slade. By +the irony of events, Slade was afterward arrested and imprisoned for +fraud, in England. This fact so prejudiced the public mind against +Zöllner that his name became a word of scorn, and the fourth dimension +a synonym for what is fatuous and false. Zöllner died of it, but +since his death public opinion has undergone a change. There is a +great and growing interest in everything pertaining to the fourth +dimension, and belief in that order of phenomena upon which Zöllner +based his deductions is supported by evidence at once voluminous and +impressive. + +It is unnecessary to go into the question of the genuineness of the +particular phenomena which Zöllner witnessed. His conclusions are +alone important, since they apply equally to other manifestations, +whose authenticity has never been successfully impeached. Zöllner's +reasoning with regard to certain psychic phenomena is somewhat along +the following lines. + + +APPARITIONS + +_The intrusion (as an apparition) of a person or thing into a +completely enclosed portion of three-space; or contrariwise, the +exit (as an evanishment) out of such a space_. + +Because we lack the sense of four-dimensional space, we must here +have recourse to analogy, and assume three-dimensional space to be +the unsensed higher region encompassing a world of two dimensions, +To a hypothetical flat-man of a two-space, any portion of his plane +surrounded by an unbroken line would constitute an enclosure. Were +he confined within it, escape would be impossible by any means known +to him. Had he the ability to move in the third dimension, however, +he could rise, pass over the enclosing line without disturbing it, +and descend on the other side. The moment he forsook the plane he +would disappear from two-dimensional space. Such a disappearance +would constitute an occult phenomenon in a world of two dimensions. + +Correspondingly, an evanishment from any three-dimensional +enclosure--such as a room with locked doors and windows--might be +effected by means of a movement in the fourth dimension. Because a +body would disappear from our perception the moment it forsook our +space, such a disappearance would be a mystery; it would constitute +an occult phenomenon. The thing would be no more mysterious, however, +to a consciousness embracing four dimensions within its ken, than +the transfer of an object from the inside to the outside of a plane +figure without crossing its linear boundary is mysterious to us. + + +POSSESSION + +_The temporary possession of a person's body, or some member of +that body, by an alien will, as exemplified in automatic writing and +obsession_. + +It would doubtless amaze the scientifically orthodox to know how +many people habitually and successfully practice the dubious art of +automatic writing--not mediums, so-called, but people of refinement +and intelligence. Although the messages received in this way may +emanate from the subconscious mind of the performer, there is +evidence to indicate that they come sometimes from an intelligence +discarnate, or from a person remote from the recipient in space. + +If such is indeed the case, if the will is extraneous, how does it +possess itself of the nerves and muscles of the hand of the writer? +The Higher Space Hypothesis is of assistance here. It is only +necessary to remember that from the fourth dimension the interior of +a solid is as much exposed as the interior of a plane figure is +exposed from the region of the third dimension. A four-dimensional +being would experience no difficulty, under suitable conditions, in +possessing itself of any part of the bodily mechanism of another. + +The same would hold true in cases of possession and obsession; for +if the bastion of the hand can thus be captured, so also may the +citadel of the brain. Certain familiar forms of hypnotism are not +different from obsession, the hypnotizer using the brain and body of +his subject as though they were his own. All unconsciously to himself, +he has called into play four-dimensional mechanics. Many cases of +so-called dual personality are more easily explicable as possession +by an alien will than on the less credible hypothesis that the +character, habits, and language of a person can change utterly in a +moment of time. + + +CLAIRVOYANCE IN SPACE + +_Vision at a distance and the exercise of a superior power of sight_. + +Clairvoyance in space is of various kinds and degrees. Sometimes it +consists in the perception of super-physical phenomena--the +unfurling of a strange and wonderful land; and again it appears to +be a higher power of ordinary vision, a kind of seeing to which the +opacity of solids offers no impediment, or one involving spatial +distances too great and too impeded for normal physical vision to be +effective. + +That clairvoyance which consists in the ability to perceive not +alone the superficies of things as ordinary vision perceives them, +but their interiors as well, is analogous to the power given by the +X-ray, by means of which, on a fluorescent screen, a man may behold +the beating of his own heart. But, if the reports of trained +clairvoyants are to be believed, there is this difference: +everything appears to them without the distortions due to perspective, +objects being seen as though they were inside and not outside of the +perceiving organ, or as though the observer were in the object +perceived; or in all places at the same time. + +Our analogy makes all this intelligible. To the flat-man, +clairvoyance in space would consist in that power of perception +which we exercise in reference to his plane. From the third +dimension the boundaries of plane figures offer no impediment +to the view of their interiors, and they themselves in no way +impede our vision of surrounding objects. If we assume that +clairvoyance in space is the perception of the things of our world +from the region of the fourth dimension, the phenomena exactly +conform to the demands of our analogy. It is no more difficult +for a four-dimensional intelligence to understand the appearance +or disappearance of a body in a completely closed room, or the +withdrawal of an orange from its skin, without cutting or breaking +that skin, than it is for us to see the possibility of taking up a +pencil point from the center of a circle and putting it down outside. +We are under no compulsion to draw a line across the circumference +of the circle in order to enter or leave it. Moreover, the volume of +our sensible universe embraced in the clairvoyant's field of view +will increase in the same way that a balloonist's view increases in +area as he rises above the surface of the earth. To account for +clairvoyant vision at a distance, it is of course necessary to posit +some perceptive organ other than the eye, but the fact that in +trance the eyes are closed, itself demands this assumption. + + +CLAIRVOYANCE IN TIME + +_The perception of a past event as in process of occurring, or the +prevision of something which comes to pass later_. + +No mechanistic explanation will serve to account for this order of +clairvoyance since it is inextricably involved in the mystery of +consciousness itself. Yet our already overworked analogy can perhaps +cast a little light even here. + +To the flat-man, the third dimension of objects passing through his +plane translates itself to his experience into _time_. Were he +capable of rising in the positive direction of the third dimension, +he would have pre-vision, because he would be cognizant of that +which had not yet intersected his plane: by sinking in the negative +direction, he would have post-vision, because he could re-cognize +that which had already passed. + +Now there are excellent reasons, other than those based on analogy, +that the fourth-dimensional aspect of things may manifest itself to +our ordinary experience, not as spatial extension, but as temporal +change. Then, if we conceive of clairvoyance as a transcending by +consciousness of our three-dimensional space, prevision and +post-vision would be logically possible as corresponding to the +positive and negative of the fourth dimension. This may be made +clearer by the aid of a homely illustration. + + +PISGAH SIGHTS OF LIFE'S PAGEANT + +Suppose you are standing on a street corner, watching a procession +pass. You see the pageant as a sequence of objects and individuals +appearing into view near by and suddenly, and disappearing in the +same manner. This would represent our ordinary waking consciousness +of what goes on in the world round about. Now imagine that you walk +up the street in a direction opposite to that in which the +procession is moving. You then rapidly pass in review a portion of +the procession which had not yet arrived at the point you were a few +moments before. This would correspond to the seeing of something +before it "happened," and would represent the positive aspect of +clairvoyance in time--prevision. Were you to start from your +original position, and moving in the direction in which the +procession was passing, overtake it at some lower street corner, you +could witness the thing you had already seen. This would represent +post-vision--clairvoyance of the past. + +A higher type of clairvoyance would be represented by the sweep of +vision possible from a balloon. From that place of vantage the +procession would be seen, not as a sequence, but simultaneously, and +could be traced from its formation to its dispersal. Past, present +and future would be merged in one. + +It is true that this explanation raises more questions than it +answers: to account in this way for a marvel, a greater marvel must +be imagined--that of transport out of one's own "space." The whole +subject bristles with difficulties, not the least of which is that +even to conceive of such a thing as prevision all our old ideas +about time must be recast. This is being done in the Principle of +Relativity, a subject which may appropriately engage our attention +next. + + + + +V CURVED TIME + + +TIME FROM THE STANDPOINT OF EXPERIMENT AND OF CONSCIOUS EXPERIENCE + +In some moment of "sudden light" what one of us has not been able to +say, with Rossetti, + + "I have been here before, + But when or how I cannot tell." + +Are such strange hauntings of our House of Life due to the cyclic +return of time? Perhaps,--but what is time? + +Suppose some one should ask you, "What is an hour?" Your answer +might be, "It is the interval marked off by the clock-hand between 1 +and 2." "But what if your clock is running down or speeding up?" To +this you would probably reply, "The clock is set and corrected by +the earth, the sun and the stars, which are constant in their +movements." _But they are not_. The earth is known to be running slow, +by reason of tide friction, and this is likely to continue until it +will revolve on its axis, not once a day, but once a year, +presenting always the same face to the sun. + +We can only measure time by _uniform_ motion. Observe the vicious +circle. Uniform motion means the covering of equal spaces in equal +times. But how are we to determine our equal times? Ultimately we +have no other criterion save the uniform motion of the clock-hand or +the star dial. The very expressions, "uniform motion," "equal times," +beg the whole question of the nature of time. + +Let us then, in this predicament, consider time not from the +standpoint of experiment, but of conscious experience--what Bergson +calls "real duration." + +Every point along the line of memory, of conscious experience, has +been traced out by that unresting stylus we call "the present moment." +The question of its rate of motion we will not raise, as it is one +with which we have found ourselves impotent to deal. We believe on +the best of evidence that the conscious experience of others is +conditioned like our own. For better understanding let us have +recourse to a homely analogy: let us think of these more or less +parallel lines of individual experience in the semblance of the +strands of a skein of flax. Now if, _at the present moment_, this +skein were cut with a straight knife at right angles to its length, +the cut end would represent the _time plane_--that is, the present +moment of all--and it would be the same for all providing that the +time plane were flat _But is it really flat_? Isn't the straightness +of the knife a mere poverty of human imagination? Existence is always +richer and more dramatic than any diagram. + + "Line in nature is not found; + Unit and universe are round. + In vain produced, all rays return; + Evil will bless and ice will burn." + +Undoubtedly the flat time-plane represents with fair accuracy the +temporal conditions that obtain in the human aggregate in this world +under normal conditions of consciousness, but if we consider our +relation to intelligent beings upon distant worlds of the visible +universe the conditions might be widely different The time section +corresponding to what our straight knife made flat in the case of +the flax may be--nay, probably is--strongly curved. + + +RELATIVITY + +This crude analogy haltingly conveys what is meant by curved time. +It is an idea which is implicit in the Theory of Relativity. This +theory has profoundly modified many of our basic conceptions about +the universe in which we are immersed. It is outside the province of +this book and beyond the power of its author even so much as to +sketch the main outlines of this theory, but certain of its +conclusions are indispensable, since they baldly set forth our +dilemma in regard to the measurement of space and time. We can +measure neither except relatively, because they must be measured one +by the other, and no matter how they vary, these variations always +compensate one another, leaving us in the same state of ignorance +that we were in before. + +Suppose that two intelligent beings, one on Mars, let us say, and +the other on the earth, should attempt to establish _the same moment +of time_, by the interchange of light signals, or by any other +method which the most rigorous science could devise. Assume that +they have for this purpose two identically similar and mechanically +perfect chronometers, and that every difficulty of manipulation were +successfully overcome. Their experiment could end only in failure, +and the measure of this failure neither one, in his own place, could +possibly know. If, after the experiment, the Martian, chronometer in +hand, could be instantly and miraculously transported to the earth, +and the two settings compared, they would be found to be different: +how different, we do not know. + +The reason for the failure of any such experiment anywhere conducted +can best be made plain by a crude paraphrase of a classic +proposition from Relativity. Suppose it is required to determine the +same moment of time at two different places on the earth's surface, +as must be attempted in finding their difference in longitude. Take +the Observatory at Greenwich for one place, and the observatory at +Washington for the other. At the moment the sun is on the meridian +of Greenwich, the exact time of crossing is noted and cabled to +Washington. The chronometer at Washington is set accordingly, and +the time checked back to Greenwich. This message arrives two seconds, +say, after the original message was sent. Washington is at once +notified of this double transmission interval. On the assumption +that HALF of it represents the time the message took to travel from +east to west, and the other half the time from west to east again, +the Washington chronometer is set one second ahead of the signalled +time, to compensate for its part of the loss. When the sun has +reached the meridian of Washington, the whole process is repeated, +and again as before, half of the time the message has taken to cross +and recross the Atlantic is added to the Greenwich record of noon at +Washington. The number of hours, minutes, seconds, and fractions of +a second between these two corrected records represents the +difference in solar time between the two places, and incidentally +the same moment of time has been established for both--at least, so +it would appear. + +But is it established? That each message took an equal time to +travel each way is pure assumption, and happens to be a false one. +The accuracy of the result is vitiated by a condition of things to +which the Relativists have called attention. Our determination might +be defended if Washington and Greenwich could be assumed to remain +at rest during the experiments, and some argument might even be made +in its favor if we could secure any cosmic assurance that the +resultant motion of the earth should be the same when Greenwich +signalled its noon to Washington and Washington its noon to Greenwich. + +Our present discussion is merely illustrative, or diagrammatic; so +we will neglect the velocity of the earth in its orbit round the sun, +some forty times greater than that of a cannon ball, and the more +uncertain and more vertiginous speed of the whole solar system +towards its unknown goal. Let us consider only the rotation of the +earth on its axis, the tide-speed of day and night. To fix our idea, +this may be taken, in our latitudes, at eighteen thousand miles per +day, or perhaps half the speed of a Mauser rifle bullet. + +So fast, then, will Washington have been moving to meet the message +from Greenwich. So fast will Greenwich have been retreating from +Washington's message. + +Now the ultimate effect of motion on the time-determination cannot +be calculated along any such simple lines as these. Indeed, it +cannot be exactly calculated at all, for we have not all the data. +But there is certainly _some_ effect. Suppose one rows four miles up +a river against a current of two miles per hour, at a rowing speed +of four miles per hour. This will take two hours, plainly. The +return trip with the river's gift of two miles per hour will +evidently require but forty minutes. _Two hours and forty minutes_ +for the round trip, then, of eight miles. + +Now then, to row eight miles in still water, according to our +supposition, would have required but _two hours_. But, some one +objects, the current must help the return trip as much as it +hindered the outgoing! Ah, here is the snare that catches +rough-and-ready common sense! How long would the double journey have +taken _if the river current had been faster than our rowing speed_? +How shall we schedule our trip if we cannot learn the correct speed, +_or if it varies from minute to minute_? + +These explanations are necessarily symbolistic rather than +demonstrative, but any one who will seriously follow out these lines +of thought, or, still better, study the attitude of the hard-headed +modern physicist towards our classical geometry and mechanics, +cannot fail to realize how conventional, artificial--even +phantasmal--are the limitations set by the primitive idea of flat +space and straight time. + +The inferences which we may draw from our hypothetical experiment +are plain. The settings of the two chronometers would be defective, +they would not show the same time, but each of them would mark the +_local_ time, proper to its own place. There would be no means of +detecting the amount of error, since the messages were transmitted +by a medium involved with them in their transportation. If only +local time can be established, the possibility of a warped +time-plane--the curvature of time--is directly opened up. Doubtless +it is true that on so relatively minute a scale as is offered by the +earth, any deviation from perfect flatness of the time-plane would +be so inconsiderable and imperceptible as to make it scientifically +negligible; but this by no means follows when we consider our +relation to other worlds and other systems. + +A similar condition holds with regard to space-distortion. The +Theory of Relativity enforces the conclusion that from the +standpoint of our conventions in regard to these matters, all bodies +involved in transportation undergo a contraction in the direction of +that transportation, while their dimensions perpendicular to the +transportation remain invariable. This contraction is the same for +all bodies. For bodies of low velocity, like the earth, this +distortion would be almost immeasurably slight; but great or little, +no measuring instruments on the body transporting would ever +disclose it, for a measure would undergo the same contraction as the +thing measured. + + +THE SPOON-MAN + +These concepts that space and time are not as immutable as they +appear: that our universe may suffer distortion, that time may lag +or hasten without our being in the least aware, may be made +interestingly clear by an illustration first suggested by Helmholtz, +of which the following is in the nature of a paraphrase. + +If you look at your own image in the shining surface of a teapot, or +the back of a silver spoon, all things therein appear grotesquely +distorted, and all distances strangely altered. But if you choose to +make the bizarre supposition that this spoon-world is real, and your +image--the spoon-man--a thinking and speaking being, certain +interesting facts could be developed by a discussion between +yourself and him. + +You say, "Your world is a distorted transcript of the one in which I +live." + +"Prove it to me," says the spoon-man. + +With a foot-rule you proceed to make measurements to show the +rectangularity of the room in which you are standing. Simultaneously +he makes measurements giving the same numerical results; for his +foot-rule shrinks and curves in the exact proportion to give the +true number of feet when he measures his shrunken and distorted rear +wall. No measurement you can apply will prove you in the right, nor +him in the wrong. Indeed he is likely to retort upon you that it is +your room which is distorted, for he can show that in spite of all +its nightmare aspects his world is governed by the same orderly +geometry that governs yours. + +The above illustration deals purely with space relations, for such +relations are easily grasped; but certain distortions in time +relations are no less absolutely imperceptible and unprovable. So +far from having any advantage over the spoon-man, our plight is his. +The Principle of Relativity discovers us in the predicament of the +Mikado's "prisoner pent," condemned to play with crooked cues and +elliptical billiard balls, and of the opium victim, for whom +"space swells" and time moves sometimes swift and sometimes slow. + + +THE ORBITAL MOVEMENT OF TIME + +Now if our space is curved in higher space, since such curvature is +at present undetectable by us, we must assume, as Hinton chose to +assume, that it curves in the minute, or, as some astronomers assume, +that its curve is vast. These assumptions are not mutually exclusive: +they are quite in analogy with the general curvature of the earth's +surface which is in no wise interfered with by the lesser curvatures +represented by mountains and valleys. It is easiest to think of our +space as completely curved in higher space in analogy with the +surface of a sphere. + +Similarly, if time is curved, the idea of the cyclic return of time +naturally (though not inevitably) follows, and the division of the +greater cycles into lesser loops; for it is easier to assign this +elliptical movement to time than any other, by reason of the orbital +movements of the planets and their satellites. What results from +conceptions of this order? Amazing things! If our space is curved in +higher space, you may be looking toward the back of your own head. +If time flows in cycles, in travelling toward to-morrow you may be +facing yesterday. + +This "eternal return," so far from being a new idea, is so old that +it has been forgotten. Its reappearance in novel guise, along with +so many other recrudescences, itself beautifully illustrates time +curvature in consciousness. _Yugas_, time cycles, are an integral +and inexpugnable part of Oriental metaphysics. "Since the soul +perpetually runs," says Zoroaster, "in a certain space of time it +passes through all things, which circulation being accomplished, it +is compelled to run back again through all things, and unfold the +same web of generation in the world." Time curvature is implicit in +the Greek idea of the iron, bronze, silver, and golden ages, +succeeding each other in the same order: the winter, seed-time, +summer and harvest of the larger year. Astrology, seership, prophecy, +become plausible on the higher-time hypothesis. From this point of +view history becomes less puzzling and paradoxical. What were the +Middle Ages but a forgetting of Greek and Roman civilization, and +what was the Renaissance but a remembering of them--a striving to +re-create the ruined stage-settings and to re-enact the urbane play +of Pagan life. The spirit of the Crusades is now again animate +throughout Europe. Nations are uniting in a Holy War against the +Infidel _de nos jours_. + +But it is in the individual consciousness that time curvature +receives its most striking confirmation--those lesser returns and +rhythms to which we give the name of periodicity. Before considering +these, however, a fundamental fallacy of the modern mind must be +exposed. + + +MATERIALITY THE MIRROR OF CONSCIOUSNESS + +Our vicious habit of seeking the explanation of everything--even +thought and emotion--in materiality, has betrayed us into the error +of attributing to organic and environic changes the very power by +which they are produced. We are wont to think of feeling, the form +in which Being manifests to consciousness, as an effect instead of +as a cause. When Sweet Sixteen becomes suddenly and mysteriously +interesting to the growing boy, it is not because sex has awakened +in his body, but because the dread time has come for him to +contemplate the Idea of Woman in his soul. If you are sleepy, it is +not because the blood has begun to flow away from your brain, but +because your body has begun to bore you. Night has brought back the +Idea of Freedom, and consciousness chloroforms the thing that +clutches it. If you are ill, you grow cold or your temperature rises: +it is the signal by which you know that your consciousness is +turning toward the Idea of Pain. + +Just as a savage looks for a man behind a mirror, we foolishly seek +in materiality for that which is not there. The soul determines +circumstance: the soul contains the event which shall befall. The +organic and environic rearrangements incident to obscure rotations +in higher space are like the changes a mirror-image undergoes as an +object draws near and then recedes from its plane. This is only a +figure of speech, but it is susceptible of almost literal application. +Ideas, emerging from the subconscious, appproach, intersect, recede +from, and re-approach the stream of conscious experience; taking the +forms of aversions and desires, they register themselves in action, +and by reason of time curvature, everything that occurs, recurs. + + +PERIODICITY + +We recognize and accept this cyclic return of time in such familiar +manifestations of it as Nature affords in _periodicity_. We recognize +it also in our mental and emotional life, when the periods can be +co-ordinated with known physical phenomena, as in the case of the +wanderlust which comes in the mild melancholy of autumn, the moods that +go with waning day, and winter night. It is only when these recurrences +do not submit themselves to our puny powers of analysis and measurement +that we are incredulous of a larger aspect of the law of time-return. +Sleep for example, is not less mysterious than death which, too, +may be but "a sleep and a forgetting." The reason that sleep fails to +terrify us as death does is because experience has taught that +_memory leafs the chasm_. Why should death bedreaded any more than +bedtime? Because we fear that we shall forget. But do we really forget? +As Pierre Janet so tersely puts it, "Whatever has gone into the mind +may come out of the mind," and in a subsequent chapter this aphorism +will be shown to have extension in a direction of which the author of +it appears not to have been aware. Memory links night to night and +winter to winter, but such things as "the night-time of the spirit" +and "the winter of our discontent" are not recognized as having either +cause or consequence. Now though the well-springs of these states of +consciousness remain obscure, there is nothing unreasonable in +believing that they are recrudescences of far-off, forgotten moods +and moments; neither is it absurd to suppose that they may be related +to the movements and positions of the planets, as night and winter +are related to the axial and orbital movements of the earth. + +But there are other, and even more interesting, evidences of time +curvature in consciousness. These lead away into new regions which +it is our pleasure now to explore. + + + + +VI SLEEP AND DREAMS + + +SLEEP + +Our space is called three-dimensional because it takes three +numbers--measurement in three mutually perpendicular directions--to +determine and mark out any particular point from the totality of +points. Time, as the individual experiences it, is called +one-dimensional for an analogous reason: one number is all that is +required to determine and mark out any particular event of a series +from all the rest. Now in order to establish a position in a space of +four dimensions it would be necessary to measure in _four_ mutually +perpendicular directions. Time curvature opens up the possibility of +a corresponding higher development in time: one whereby time would +be more fittingly symbolized by a plane than by a linear figure. +Indeed, the familiar mystery of memory calls for such a conception. +Memory is a carrying forward of the past into the present, and the +fact that we can recall a past event without mentally rehearsing +all the intermediate happenings in inverse order, shows that in +the time aspect of memory there is simultaneity as well as +sequence--time ceases to be linear and becomes _plane_. More +remarkable illustrations of the sublimation of the time-sense are +to be found in the phenomena of sleep and dreams. + +"Oh, thou that sleepest, what is sleep?" asks the curious Leonardo. +Modern psychological science has little to offer of a positive +nature in answer to this world-old question, but it has at least +effectively disposed of the absurd theories of the materialists who +would have us believe that sleep is a mere matter of blood +circulation or of intoxication by accumulation of waste products in +the system. Sleep states are not abnormal, but part and parcel of +the life existence of the individual. When a person is asleep he has +only become unresponsive to the mass of stimuli of the external +world which constitutes his environment. As Sidis says, "When our +interest in external existence fags and fades away, we go to sleep. +When our interests in the external world cease, we draw up the +bridges, so to say, interrupt all external communication as far as +possible, and become isolated in our own fortress and repair to our +own world of organic activity and inner dream life. Sleep is the +interruption of our intercourse with the external world: it is the +laying down of our arms in the struggle of life. Sleep is a truce +with the world." + +The twin concepts of higher space and curved time sanction a view of +sleep even bolder. Sleep is more than a longing of the body to be +free of the flame which consumes it: the flame itself aspires to be +free--that is to say, consciousness, tiring of its tool, the brain, +and of the world, its workshop, takes a turn into the plaisance of +the fourth dimension, where time and space are less rigid to resist +the fulfillment of desire. + + +DREAMS + +We find a confirmation of this view in dream phenomena. But however +good the evidence, we shall fail to make out a case unless dream +experiences are conceded to be as real as any other. The reluctance +we may have to make this concession comes first from the purely +subjective character of dreams, and secondly from their triviality +and irrationality--it is as though the muddy sediment of daytime +thought and feeling and that alone were there cast forth. In answer +to the first objection, advanced psychology affirms that the +subconscious mind, from which dreams arise, approaches more nearly +to the omniscience of true being than the rational mind of waking +experience. The triviality and irrationality of dreams are +sufficiently accounted for if the dream state is thought of as the +meeting place of two conditions of consciousness: the foam and +flotsam "of perilous seas in faëry lands forlorn," whose vastitude, +whose hidden life, and rich argosies of experience, can only be +inferred from the fret of the tide on their nether shore--the tired +brain in sleep. + +For it is the _remembered_ dream alone that is incoherent--the dream +that comes clothed in the rags and trappings of this work-a-day world, +and so leaves some recoverable record on the brain. We all feel that +the dreams we cannot remember are the most wonderful. Who has not +wakened with the sense of some incommunicable experience of terror or +felicity, too strange and poignant to submit itself to concrete +symbolization, and so is groped for by the memory in vain? We know +that dreams grow more ordered and significant as they recede from +the surface of consciousness to its depths. Deep sleep dreams are in +the true sense clairvoyant, though for the most part irrecoverable-- +"Canst thou draw out Leviathan with an hook?" DuPrel and others have +shown that the difference between ordinary dreaming, somnambulance, +trance and ecstasy, is only a matter of redistribution of +thresholds--that they are all related states and merge into one +another. We have, therefore, every right to believe that for a +certain number of hours out of the twenty-four we are all sybils and +seers, however little most of us are able to profit by it. +Infrequently, in moments of peculiar susceptibility, the veil is +lifted, but the art of _dreaming true_ remains for the most part +unmastered--one of the precious gifts which the future holds in store +for the sons and daughters of men. + +The partial waking state is the soil in which remembered dreams +develop most luxuriously. Paradoxical as it may sound, they are the +product, not of our sleep, but of our waking. Such dreams belong to +both worlds, partly to the three-dimensional and partly to the +four-dimensional. While dreams are often only a hodge-podge of +daytime experiences, their incredible rapidity, alien to that +experience, gives us our first faint practicable intimation of a +higher development of time. + + +TIME IN DREAMS + +The unthinkable velocity of time in dreams may be inferred from +the fact that between the moment of impact of an impression +at the sense-periphery and its reception at the center of +consciousness--moments so closely compacted that we think of them as +simultaneous--a coherent series of representations may take place, +involving what seem to be protracted periods for their unfoldment. +Every reader will easily call to mind dream experiences of this +character, in which the long-delayed dénouement was suggested and +prepared for by some extraneous sense-impression, showing that the +entire dream drama unfolded within the time it took that impression +to travel from the skin to the brain. + +Hasheesh dreams, because they so often occur during some momentary +lapse from normal consciousness and are therefore measurable by its +time scale, are particularly rich in the evidence of the looping of +time. Fitzhugh Ludlow narrates, in _The Hasheesh Eater_, the dreams +that visited him in the brief interval between two of twenty or more +awakenings, on his walk homeward after his first experience with the +drug. He says, "I existed by turns in different places and various +states of being. Now I swept my gondola through the moonlit lagoons +of Venice. Now Alp on Alp towered above my view, and the glory of +the coming sun flashed purple light upon the topmost icy pinnacle. +Now in the primeval silence of some unexplored tropical forest I +spread my feathery leaves, a giant fern, and swayed and nodded in +the spice-gales over a river whose waves at once sent up clouds of +music and perfume. My soul changes to a vegetable essence, thrilled +with a strange and unimagined ecstasy." + +Earlier in the same evening, when he was forced to keep awake in +order not to betray his condition, the dream time-scale appears to +have imposed itself upon his waking consciousness with the following +curious effect. A lady asked him some question connected with a +previous conversation. He says, "As mechanically as an automaton I +began to reply. As I heard once more the alien and unreal tones of +my own voice, I became convinced that it was some one else who spoke, +and in another world. I sat and listened: still the voice kept +speaking. Now for the first time I experienced that vast change which +hasheesh makes in all measurements of time. The first word of the +reply occupied a period sufficient for the action of a drama; the +last left me in complete ignorance of any point far enough back in +the past to date the commencement of the sentence. Its enunciation +might have occupied years. I was not in the same life which had held +me when I heard it begun." + +This well-known fact, that we cannot measure dreams by our time scale, +proves that subjective time does not correspond with objective, and +that the "dream organ" of consciousness has a time scale of its own. +If in our waking state we experience one kind of time, and in +dreams quite another, the solution of the mystery should be sought +in the _vehicle_ of consciousness, for clearly the limit of +impressionability or power of response of the vehicle establishes +the time scale, just as the size of the body with relation to +objects establishes the space scale. Time must be different for the +ant and the elephant, for example, as space is different. + +Our sense of time is wholly dependent upon the rapidity with which +impressions succeed one another. Were we capable of receiving only +one impression an hour, like a bell struck every hour with a hammer, +the ordinary term of life would seem very short. On the other hand, +if our time sense were always as acute as it is in dreams, uncounted +aeons would seem to be lived through in the interval between +childhood and old age. + +Imagine a music machine so cunningly constructed and adjusted as not +only to sound each note and chord in its proper sequence and relation, +but to regulate also the duration of the sound vibration. If this +machine were operated in such a manner as to play, in a single +second of time, the entire overture of an opera which would normally +occupy half an hour, we should hear only an unintelligible noise a +second long. This would be due to no defect in the _sound-producing_ +mechanism, but to the limitations of the _sound-receiving_ mechanism, +our auditory apparatus. Could this be altered to conform to the +unusual conditions--could it capture and convey to consciousness +every note of the overture in a second of time--that second would +seem to last half an hour, provided that every other criterion for +the measurement of duration were denied for the time being. + +Now dreams _seem_ long: we only discover afterwards and by accident +their almost incredible brevity. May we not--must we not--infer from +this that the body is an organ of many stops and more than one +keyboard, and that in sleep it gives forth this richer music. The +theory of a higher-dimensional existence during sleep accounts in +part for the great longing for sleep. "What is it that is much +desired by man, but which they know not while possessing?" again +asks Leonardo. "It is sleep," is his answer. This longing for sleep +is more than a physical longing, and the refreshment it brings is +less of the flesh than of the spirit. It is possible to withstand +the deprivation of food and water longer and better than the +deprivation of sleep. Its recuperative power is correspondingly +greater. + +Experiments have been made with mature University students by which +they have been kept awake ninety-six hours. When the experiments +were finished, the young men were allowed to sleep themselves out, +until they felt they were thoroughly rested. All awoke from a long +sleep completely refreshed, but the one who took longest to restore +himself from his protracted vigil slept only one-third more time +than was regular with him. And this has been the experience over and +over again of men in active life who have been obliged to keep awake +for long periods by the absolute necessities of the situation in +which they have been placed. + +In this fact there is surely another hint of the sublimation of the +time sense during sleep. While it would be an unwarrantable +assumption to suppose that the period of recuperation by sleep must +be as long, or nearly as long, as the period of deprivation, the +ratio between the two presents a discrepancy so great that it would +seem as though this might be due to an acceleration of the time +element of consciousness. + + +THE EASTERN TEACHING IN REGARD TO SLEEP AND DREAMS + +In this matter of the wonder, the mystery, the enchantment, of sleep +and dreams, the most modern psychology and the most ancient wisdom +meet on common ground. Eastern wisdom casts such a light upon the +problems of subjectivity that it should not be lightly dismissed. +For uncounted centuries Hindu-Aryan spiritual science has recognized, +not one plane or condition of consciousness, but three; waking, +dreaming, and deep sleep--the gross, the subtle and the pure. In the +waking state--that is, with the vehicle attuned to vibrate to +materiality--the individual self is as a captive in a citadel of +flesh, aware of only so much of the universal life as chances to +enact itself before the windows of his prison. In the dream state, +when the more violent vibrations of the body are stilled in sleep, +consciousness becomes active in its subtle (four-dimensional) vehicle, +and ranges free throughout the ampler spaces of this subtler world. +In deep sleep, consciousness reverts to its pure condition--the +individual self becomes the All-Self: the rainbow, no longer +prismatic by reason of its refraction in materiality, becomes the +pure white light; the melody of life resolves itself into the +primordial harmony; sequence becomes simultaneity, and Time, no +longer "besprent with seven-hued circumstance," is swallowed up in +duration. + +"_There are two paths for him, within and without, and they both +turn back in a day and a night.... After having subdued by sleep all +that belongs to the body, he, not asleep himself, looks down upon +the sleeping. Having assumed light, he goes again to his place, the +golden person, the lonely bird_" UPANISHADS. + + +SPACE IN DREAMS + +However preposterous may appear to us this notion that the waking +state, in which we feel ourselves most potent and alive, is really +one of inhibition--that the world is only a "shoal of time"--it is +curiously borne out by the baffling phenomena of dreams and is in +perfect accord with the Higher Space Hypothesis. The possibility of +shaking off the grip of sleep under appropriate circumstances, the +fact that we can watch in our sleep, and awake at the right moment, +that we can sleep and still watch and keep awake in regard to +special objects and particular persons--these things form +insuperable difficulties for all those plausible, and apparently +scientific, theories of sleep current in the West; but they fit +perfectly with the Eastern idea that "he, not asleep himself, looks +down upon the sleeping." And to the questions, "How, and from whence?" +in the light of our hypothesis we may answer, "By the curvature of +time, consciousness escapes into the fourth dimension." + +Myers shows that he was in need of just this clue in order to +account for some of the dream experiences recorded in _Human +Personality_, since he asks for "an intermediate conception of +space--something between space as we know it in the material world +and space as we imagine it to disappear in the ideal world." He +suggests that in dreams and trance there may be a clearer and more +complete perception of space than is at present possible to us. A +corresponding sublimation of the time sense is no less necessary to +account for time in dreams. Although we seem to triumph over space +and time to such a tune as to eliminate them, dream experiences have +both form and sequence. Now because form presupposes space, and time +is implicit in sequence, there arises the necessity for that +"intermediate conception" of both space and time provided by our +hypothesis. + + +THE PHENOMENON OF PAUSE + +Let us conceive of sleep less narrowly than we are accustomed to: +think of it only as one phase of the phenomenon of pause, of +arrested physical activity, universal throughout nature. The cell +itself experiences fatigue and goes to sleep--"perchance to dream," +Modern experimental science in the domain of physiology and +psychology proves that we see and do not see, hear and do not hear, +feel and do not feel, in successive instants. We are asleep, in +other words, not merely hour by hour, but moment by moment--and +perhaps age by age as well. + +Where is consciousness during these intervals, long or short, when +the senses fail to respond to the stimuli of the external world? It +is somewhere else, awake to some other environment. Though we may +not be able to verify this from our own experience, there are +methods whereby it can be verified. Clairvoyance is one of these, +hypnotism is another--that kind of hypnotism whereby an entranced +person is made to give a report of his excursions and adventures in +the mysterious House of Sleep. It is a well-known fact that these +experiences increase in intensity, coherence and in a certain sort +of omniscience, directly in proportion to the depth of the trance. +The revelations obtained in this way are sometimes amazing. The +inherent defect of this method of obtaining information is the +possibility of deception, and for that reason science still looks +askance at all evidence drawn from this source. But in essaying to +write a book about the fourth dimension from any aspect but the +mathematical, the author has put himself outside the pale of +orthodox science, so he is under no compulsion to ignore a field so +rich merely because it appears to be tainted by a certain amount of +fallibility and is even under suspicion of fraud. Diseased oysters, +though not edible, produce pearls, and a pearl of great price is the +object of this quest. Let us glance, therefore, at the findings of +hypnotism and kindred phenomena. + + + + +VII THE NIGHT SIDE OF CONSCIOUSNESS + + +THE FIELD OF PSYCHIC RESEARCH + +It is difficult to divest the words hypnotism and clairvoyance of +certain sordid and sinister associations. We are apt to think of +them only as urban flora of the dust and dark, cultivated for profit +by itinerant professors and untidy sibyls. Larger knowledge of the +night side of human nature, however, profoundly modifies this view. +The invoked image is then of some hushed and studious chamber where +a little group of people sit attentive to the voice of one +entranced--listeners at the keyhole of the door to another world. +This "news from nowhere," garnered under so-called test conditions +and faithfully recorded, has grown by now to a considerable +literature, accessible to all--one with which every well-informed +person is assumed to have at least a passing acquaintance. + +A marked and constant characteristic of trance phenomena consists of +an apparent confusion between past, present and future. As in the +game of three-card monte, it appears impossible to tell in what order +the three will turn up--_was, is_ and _will be_, lose their special +significance. Clairvoyance, in its time aspect, whether spontaneous, +hypnotically induced, or self-induced, is susceptible of +classification as post-vision, present vision, and prevision. +Post-vision is that in which past events are not recollected merely, +but seen or experienced. It is the past become present. Present +vision is clairvoyance of things transpiring elsewhere; the present, +remote in space, but not in time. Prevision is the future in the +present. These various orders of _clear-seeing_ transcend the limits +of the actual knowledge and experience of the seer. This +classification and these definitions are important only to us, to +whom past, present, and future stand sharply differentiated in +thought and in experience; not to the clairvoyant, who, though bound +in body to our space and time, is consciously free in a world where +these discriminations vanish. Why do they vanish? This question can +best be answered by means of a homely analogy. + +For a symbol of the flow of time in waking consciousness, imagine +yourself in a railway carriage which jogs along a main-travelled +line at a rate predetermined by the time-table. You approach, reach +and pass such stations as are intersected by that particular railway, +and you get a view of the landscape which every other traveler shares. +Having once left a station, you cannot go back to it, nor can you +arrive at places further along the line before the train itself +takes you there. Compare this with the freedom to do either of these +things, and any number of others, if you suddenly change from the +train to an automobile. Then, in effect, you have the freedom of a +new dimension. In the one case, you must travel along a single line +at a uniform rate; in the other, you are able to strike out in any +direction and regulate your speed at will. You can go back to a +place after the train has left it; you can go forward to some place +ahead, before the train arrives, or you can strike out into, and +traverse, new country. In short, your freedom, temporal and spatial, +will be related to that of the train-bound traveler, somewhat as is +trance consciousness to everyday waking life. + + +MODIFYING THE PAST + +Modern psychology has demonstrated the existence of a great +undercurrent of mental and emotional life, transcending the +individual's conscious experience, in which the most complex +processes are carried on without the individual's conscious +participation. The clearest symbol by which this fact may be figured +to the imagination is the one already presented: the comparison of +the subjective field to a plane, in which the conscious experience +of the individual is represented by a single line. In sleep and +trance we have an augmented freedom of movement and so are able to +travel here and there, backward and forward, not only among our own +"disassociated memories" but in that greater and more mysterious +demesne which comprehends what we call the future, as well as the +present and the past. + +The profound significance of the disassociation and sublimation of +memory by hypnotism, or by whatever other means the train of +personal experience and recollection can be thrown off the track, +appears to have been ignored on its theoretical side--that is, as +establishing the return of time. It has cleverly been turned to +practical account, however, in the treatment of disease. By a series +of painstaking and brilliant experiments, the demonstration of the +role played by "disassociated memories" in causing certain +functional nervous and mental troubles has been achieved. It has +been shown that severe emotional shocks, frights, griefs, worries, +may be--and frequently are--completely effaced from conscious +recollection, while continuing to be vividly remembered in the +depths of the subconscious. It has been shown that thence they may, +and frequently do, exercise a baleful effect upon the whole organism, +giving rise to disease symptoms, the particular type of which were +determined by the victim's self-suggestion. As a preliminary to +effecting a permanent cure to such disorders, it is necessary to get +at these disassociated memories and drag them back into the full +light of conscious recollection. To get at them, medical +psychologists make use of hypnotism, automatic writing, +crystal-gazing--in short, of any method which will force an entrance +into that higher time-world, whereby the forgotten past may become +the present. This accomplished, and the crucial moment recovered and +transfixed, the victim of the aborted opportunity is led to deal +with it as one may deal with the fluid, and may not deal with the +fixed. Again his past is plastic to the operation of his +intelligence and his will. Here is glad news for mortals: the past +recoverable and in a manner revocable! + +Buddha taught that all sin is ignorance, and this teaching has +escaped oblivion because its truth has echoed in so many human hearts. +We find that it is possible to deal with our old ignorances in the +light of later knowledge. What is this but the self-forgiveness of +sins? Subconsciously we may be always at work, mending the past. +Repentance is the conscious recognition of some culmination of this +obscure process, when the heart is suffused with the inner gladness +of liberation from the payment of old karmic debts. Christ's words, +"Thy sins are forgiven," spoken to the woman who washed his feet +with her tears, sanctions this idea--that the past is remediable by +knowledge and by love. + +Conceding this much, we must equally admit the possibility of +moulding the future, of adjusting the will to the event which shall +befall. If the present moment can again intersect the stream of past +conscious experience, it may equally do so with regard to the future. +This brings up the tremendous questions of free-will and +fore-ordination. Upon these the Oriental doctrines of karma and +reincarnation cast the only light by which the reason consents to be +guided. As these doctrines are intimately related both to higher +time and to trance revelations, some consideration of karma and +reincarnation may appropriately find place here. + + +KARMA AND REINCARNATION + +Karma is that self-adjusting force in human affairs which restores +harmony disturbed by action. It is the moral law of compensation, +and by its operation produces all conditions of life, misery and +happiness, birth, death, and re-birth; itself being both the cause +and the effect of action. Its operation is indicated in the phrase, +"Whatsoever a man soweth, that shall he also reap." + +The essential idea of reincarnation is indicated in the following +quotation from the Upanishads: "And as a goldsmith, taking a piece +of gold, turns it into another, newer, and more beautiful shape, so +does this Self, having thrown off this body and dispelled all +ignorance, make unto himself another and more beautiful shape." + +Reincarnation is the periodic "dip" of an immortal individual into +materiality for the working out of karma, after an interval, long or +short, spent under other conditions of existence. These alternations +constitute the broader and deeper diapason of human life, of which +the change from waking to sleeping represents the lesser, and the +momentary awareness and unawareness of the sense mechanism to +stimulation, the least. + +Thus a physical incarnation, in the broadest sense of the term, is +the interval, long or short, of the immersion of consciousness in +materiality. Under fatigue, the cell life withdraws; that is, it +ceases to respond to physical stimuli, and so passes out of +incarnation. When this occurs _en masse_ there transpires that +hiatus of the personal consciousness called sleep, and while sleep +lasts the personality is out of incarnation. After death--in the +interval between one life and the next--the specific memories of the +personality fade out as in sleep, or rather, become latent, leaving +the soul, the permanent life-center, clear and colorless, a +mysterious focus of spiritual forces and affinities (the seeds of +karma) ready for another sowing in the world of men. This center +of consciousness is thereupon drawn to the newly forming body, +the life environment of which will rightly and justly--perhaps +retributively--bring the tendencies and characteristics of the +conscious center into objectivity again. Character is destiny, and +character is self-created. "All that we are is the result of what we +have thought." But in the vast complexity and volume of human life +there is a constant production of forms, with all the varieties of +characteristics and capacities requisite to meet the needs of every +soul, thirsty for the destiny that awaits it; and here heredity +plays its part. Beyond the individual soul is the world-soul, which +periodically incarnates in the humanity of a planet, and beyond the +worlds of a single system, suns and congeries of suns. + +The profound and pregnant doctrines of karma and reincarnation, here +so sketchily outlined, are but expansions of one of the fundamental +propositions of all Eastern philosophical systems, that the effect is +the unfolding of the cause in time. + +To omit a consideration of karma and reincarnation in connection +with higher time would be to force a passage and then not follow +where it leads. The idea of time curvature is implicit in the ideas +of karma and reincarnation. For what is karma but the return of time, +the flowering in the present of some seed sown elsewhere and long ago? +And what is reincarnation but the major cycle of that sweep into +objective existence and out again, of which the alternation between +waking and sleeping is the lesser counterpart? + + +COLONEL DE ROCHAS' EXPERIMENTS + +During the past few years evidence has been accumulating that we +never really forget anything. We have rediscovered the memory of the +subconscious mind. It is generally known that in the mesmeric or +somnambulistic sleep things hopelessly beyond recall for the +habitual mind come to the surface, in fragments, or in whole series, +as the case may be. It is perhaps news to some readers, however, +that the memory of past lives has been recovered in this way. This +but confirms the Eastern secret teaching that could we remember our +dream experiences we should recover the knowledge of our past +incarnations. + +Among the achievements of Eastern hypnotism is the recovery of the +memory of past births. Colonel de Rochas appears to have paralleled +this achievement in the West. Certain of his experiments have been +admirably reported by Maurice Maeterlinck in the eighth chapter of +_Our Eternity_. Maeterlinck's account, somewhat condensed, is +given here, because it so well illustrates the liberation of +consciousness from the tyranny of time as we conceive it. He says: + +"First of all, it is only right to say that Colonel de Rochas is a +savant who seeks nothing but objective truth and does so with a +scientific strictness and integrity that have never been questioned. +He puts certain exceptional subjects into a hypnotic sleep and, by +means of downward passes, makes them trace back the whole course of +their existence. He thus takes them successively to their youth, +their adolescence and down to the extreme limits of their childhood. +At each of these hypnotic stages, the subject reassumes the +consciousness, the character and the state of mind which he +possessed at the corresponding stage in his life. He goes over the +same events, with their joys and their sorrows. If he has been ill, +he once more passes through his illness, his convalescence and his +recovery. + +"Let us, to come to details, take one of the simplest cases. The +subject is a girl of eighteen, called Joséphine. She lives at Voiron, +in the department of Isére. By means of downward passes she is +brought back to the condition of a baby at its mother's breast The +passes continue and the wonder-tale runs its course. Joséphine can +no longer speak; and we have the great silence of infancy, which +seems to be followed by a silence more mysterious still. Joséphine +no longer answers except by signs: _she is not yet born_. 'She is +floating in darkness.' They persist; the sleep becomes heavier; and +suddenly, from the depths of that sleep, rises the voice of another +being, a voice unexpected and unknown, the voice of a churlish, +distrustful and discontented old man. They question him. At first he +refuses to answer, saying that 'of course he's there, and he's +speaking;' that 'he sees nothing;' and 'he's in the dark.' They +increase the number of passes and gradually gain his confidence. His +name is Jean Claude Bourdon; he is an old man; he has long been +ailing and bedridden. He tells the story of his life. He was born at +Champvent, in the parish of Polliat, in 1812. He went to school +until he was eighteen and served his time in the army with the +Seventh Artillery at Besançon; and he describes his gay time there, +while the sleeping girl makes gestures of twirling an imaginary +moustache. When he goes back to his native place, he does not marry, +but he has a mistress. He leads a solitary life (I omit all but the +essential facts), and dies at the age of seventy, after a long +illness. + +"We now hear the dead man speak; and his posthumous revelations are +not sensational, which, however, is not an adequate reason for +doubting their genuineness. He feels himself growing out of his body; +but he remains attached to it for a fairly long time. His fluidic +body, which is at first diffused, takes a more concentrated form. He +lives in darkness, which he finds disagreeable; but he does not +suffer. At last, the night in which he is plunged is streaked with a +few flashes of light. The idea comes to reincarnate himself and he +draws near to her who is to be his mother (that is, the mother of +Joséphine). He encircles her until the child is born, whereupon he +gradually enters the child's body. Until about the seventh year, his +body is surrounded by a sort of floating mist, in which he used to +see many things which he has not seen since. + +"The next thing to be done is to go back beyond Jean Claude. A +mesmerization lasting nearly three-quarters of an hour, without +lingering at any intermediate stage, brings the old man back to +babyhood. A fresh silence, a new limbo; and then, suddenly, another +voice and an unexpected individual. This time it is an old woman who +has been very wicked; and so she is in great torment (she is dead, +at the actual instant; for, in this inverted world, lives go +backward and of course begin at the end). She is in deep darkness, +surrounded by evil spirits. She speaks at first in a faint voice, +but always gives definite replies to the questions put to her, +instead of cavilling at every moment, as Jean Claude did. Her name +is Philoméne Carteron. + +"'By intensifying the sleep,' adds Colonel de Rochas, whom I will +now quote, 'I induce the manifestations of a living Philoméne. She +no longer suffers, seems very calm and always answers coldly and +distinctly. She knows that she is unpopular in the neighborhood, but +no one is a penny the worse and she will be even with them yet. She +was born in 1702; her maiden name was Philoméne Cherpigny; her +grandfather on the mother's side was called Pierre Machon and lived +in Ozan. In 1732 she married, at Chevroux, a man named Carterton, by +whom she had two children, both of whom she lost.'" + +Before her incarnation, Philoméne had been a little girl who died in +infancy. Previous to that, she was a man who committed murder, and +it was to expiate this crime that she endured such suffering in the +darkness, and after her life as a little girl, when she had no time +to do wrong. Colonel de Rochas did not think it wise to carry the +hypnosis further, because the subject appeared exhausted and her +paroxysms were painful to watch. He obtained analogous and even more +surprising results with other subjects. + +Maeterlinck's comments upon all this are of negligible value. He +pays a fine tribute to the theory of reincarnation. "There was never +a more beautiful, a juster, a purer, a more moral, fruitful and +probable creed," he says: yet for all that, it is clear that he has +not been at pains fully to inform himself of the Eastern teaching. + +Colonel de Rochas' success, and that of all other experimenters +along these lines, is due to their unconscious following of the +Eastern method. He himself says that he "avoided everything that +should put the subject on a definite tack,"--that is, he refrained +from voluntary suggestion. + +Having referred so frequently and so familiarly to the Eastern +belief in reincarnation, and hinted at a more solid foundation for +that belief than the single series of experiments above referred to, +it would be unfair to the reader not to gratify his curiosity more +fully in regard to these matters. In the light of our hypothesis +they take on an importance which justifies their further +consideration here. + + + + +VIII THE EASTERN TEACHING + + +ORIENTAL PHYSICS AND METAPHYSICS + +Western physical science, pursued with ardor and devotion for the +past hundred years, has attained to a control over physical phenomena +little short of magical, but in our understanding and mastery of +subjective phenomena we are far behind those Eastern peoples who +have made these matters the subject of study and experiment for +thousands of years. The informed Hindu, rightly or wrongly, regards +the Western practice of hypnotism, both in its methods and in its +results, with mingled horror and contempt. To him it is not +different from Black Magic, pernicious to operator and subject alike, +since it involves an unwarrantable tyranny of the will on the part +of the operator, and a dangerous submission to the obsession of an +invading will on the part of the subject. Eastern hypnotism--at its +highest and best--is profoundly different from Western, in that the +sanctity of the individual is respected. Its aim is not to enslave +the will, but temporarily to emancipate consciousness, under +favorable circumstances, from its physical limitation. + +Eastern practical psychology and metaphysics can be understood only +through a knowledge of Eastern physics. These we would call +transcendental, since they recognize not one theatre of consciousness, +but three: the gross, the subtle, and the pure. These correspond to +the material, the etherial, and the empyreal worlds of Greek +philosophy, and to the physical, astral, and mental planes of modern +Theosophy. They may be thought of as universal substance in three +different octaves of vibration. Upon this, the trained will of man +is able to act directly, for the reason that--as claimed by +Balzac--it is a _living_ force. + +In Eastern hypnotism the gross vibrations of the physical vehicle +are inhibited by the will of the operator, putting the body of the +subject to sleep, whereat the consciousness, free in its subtle body, +awakens to a dimensionally higher world. The operator, by means of +questions, reaps such profit as he may by following the "true dreams" +of the entranced subject, scrupulously refraining from imposing his +own will further than is necessary to obtain the information which he +seeks. The higher power of Eastern hypnotism, totally unknown in the +West, consists of inhibiting the subtle vibrations of the astral +vehicle also, permitting the consciousness to revert to its +"pure" condition. In these deep states of trance the subject is able +to communicate knowledges shut away from the generality of +men--among them the knowledge of past births. + + +THE SELF-RECOVERED MEMORY OF PAST BIRTHS + +The strength of will necessary to accomplish this higher power of +hypnotism is achieved by arduous and long-continued exercises in +concentration, by the practice of a strict morality, and by +submission to a physical regimen which few Occidentals would care to +undergo. Severe as is this training, it is less so than that which +the true Yogi imposes upon himself, and its fruits are less. The +achievement to which he addresses himself is far beyond that of the +most accomplished hypnotist. The Yogi scorns all supernormal powers, +even while possessing them. The Yogi, as the word implies--it means +literally union--seeks to unite himself with his own higher self, the +eternal and immortal part of his own nature, and the achievement of +this brings with it the freedom of the three worlds at all times, +and in full consciousness. As this involves an inward turning of the +mind and will, and the withdrawal from the ordinary active life of +average humanity, he alone is witness of his own success. "The rest +is silence." + +The knowledge of past births which may be obtained by the +questionable and cumbersome method of hypnotism is one of the +wayside flowers which the Yogi may pluck, if he will, on his path +towards perfection. There are definite rules for the attainment of +this knowledge, and they conform so closely to Colonel de Rochas' +method--save for the fact that operator and subject are one and not +twain--that it will be interesting to give them here. The ensuing +passage is from the _Vishuddhi Marga_, or _Path of Purity_, a work +written some sixteen hundred years ago by the famous sage, +Buddhaghosha, whose name signifies the Voice of Buddha, the revealer +of Buddha's teachings. It is quoted in Charles Johnston's _The +Memory of Past Births_. + +"The devotee, then, who tries for the first time to call to mind +former states of existence, should choose a time after breakfast, +when he has returned from collecting alms, and is alone and plunged +in meditation, and has been absorbed in the four trances in +succession. On rising from the fourth trance, which leads to the +higher powers, he should consider the event which last took place, +namely, his sitting down; next, the spreading of the mat; the +entering of the room; the putting away of bowl and robe; his eating; +his leaving the village; his going the rounds of the village for alms; +his entering the village for alms; his departure from the monastery; +his offering adoration in the courts of the shrine and of the Bodhi +tree; his washing the bowl; what he did between taking the bowl and +rinsing his mouth; what he did at dawn; what he did in the middle +watch of the night; what he did in the first watch of the night. +Thus he must consider what he did for a whole day and night, going +backwards over it in reverse order. + +"In the same reverse order he must consider what he did the day +before, the day before that, up to the fifth day, the tenth day, a +fortnight ago, a month ago, a year ago; and having in the same +manner considered the previous ten and twenty years, and so on up to +the time of his conception in this birth, he must then consider the +name and form which he had at the moment of death in his last birth. +But since the name and form of the last birth came quite to an end, +and were replaced by others, this point of time is like thick +darkness, and difficult to be made out by the mind of any person +still deluded. But even such a one should not despair nor say: 'I +shall never be able to penetrate beyond conception, or take as the +object of my thought the name and form which I had in my last birth, +at the moment of death,' but he should again and again enter the +trance which leads to the higher powers, and each time he rises from +the trance, he should again intend his mind upon that point of time. + +"Just as a strong man in cutting down a mighty tree to be used as +the peaked roof of a pagoda, if the edge of his axe be turned in +lopping off the branches and twigs, will not despair of cutting down +the tree, but will go to an iron-worker's shop, have his axe +sharpened, return, and go on with his cutting; and if the edge of +his axe be turned a second time, he will a second time have it +sharpened, and return, and go on with his cutting; and since nothing +that he chopped once needs to be chopped again, he will in no long +time, when there is nothing left to chop, fell that mighty tree. In +the same way the devotee rising from the trance which leads to the +higher powers, without considering what he has considered once, and +considering only the moment of conception, in no long time will +penetrate beyond the moment of conception, and take as his object +the name and form which he had at the moment of death, in his last +birth. + +"His alert attention having become possessed of this knowledge, he +can call to mind many former states of existence, as, one birth, two +births, three births, four births, five births, and so on, in the +words of the text." + +This quotation casts an interesting light upon Eastern monasticism. +The Buddhist monasteries are here revealed as schools of practical +psychology, the life of the monk a life of arduous and unceasing +labor, but labor of a sort which seems but idleness. The successive +"initiations" which are the milestones on the "Path of Perfection" +upon which the devotee has set his feet represent successive +emancipations of consciousness gained through work and knowledge. +Their nature may best be understood by means of a fanciful analogy. + + +RELEASE + +If we assume that all life is conscious life, as much aware of its +environment as the freedom of movement of its life vehicle in that +environment permits, a corpuscle vibrating in a solid would have a +certain sense of space and of movement in space gained from its own +experience. Now imagine the solid, which is its world, to be +subjected to the influence of heat. When the temperature reached a +certain point the solid would transform itself into a liquid. To the +corpuscle all the old barriers would seem to be broken down; space +would be different, time would be different, and its world a +different place. Again, at another increase of temperature, when the +liquid became a gas, the corpuscle would experience a further +emancipation: it would possess a further freedom, with all the facts +of its universe to learn anew. + +Each of these successive crises would constitute for it an initiation, +and since the heat has acted upon it from within, causing an +expansion of its life vehicle, it would seem to itself to have +attained to these new freedoms through self-development. + +The parallel is now plain to the reader: the corpuscle is the Yogi, +bent on liberation: the heat which warms him is the Divine Love, +centered in his heart, his initiations are the successive +emancipations into higher and higher spaces, till he attains +Nirvana--inherits the kingdom prepared for him from the foundation +of the world. As latent heat resides in the corpuscle, so is _Release_ +hidden in the heart--release from time and space. The perception of +this prompted the exultant apostrophe of Buddha, "Looking for the +maker of this tabernacle, I have run through a course of many births, +not finding him; and painful is birth again and again. But now, +maker of the tabernacle, thou hast been seen; thou shalt not make up +this tabernacle again. All thy rafters are broken, thy ridge-pole is +sundered; the mind, approaching the Eternal, has attained the +extinction of all desires." + +Upon the mystery of Nirvana the Higher Space Hypothesis casts not a +little light. To "approach the Eternal" can only be to approach a +condition where time is not. Because there is an escape from time in +proportion as space dimensions are added to, and assimilated by, +consciousness, any development involving this element of space +conquest (and evolution is itself such a development) involves time +annihilation also. To be in a state of desire is to be conditioned +by a limitation, because one can desire only that which one has not +or is not. The extinction of a desire is only another name for the +transcending of a limitation--of all desires, of all limitations. If +these limitations are of space they are of time also; therefore is +the "approach to the Eternal" through the "extinction of all desire." +Christ said, "Him that overcometh will I make a pillar of the temple +of my God, and he shall go no more out"--go out, that is, into +incarnation--into "time, besprent with seven-hued circumstance." + +Such are the testimonies of the world-saviors regarding the means +and end of liberation. Below them on the evolutionary ladder stand +the mystics, earth-bound, but soul-free; below them, in turn, yet +far above common humanity, stand the men of genius, caught still in +the net of passion, but able, in their work, to reflect something of +the glory of the supernal world. Let us consider, in the next two +chapters, each of these in turn. + + + + +IX THE MYSTICS + + +HERMES TRISMEGISTUS + +The mystic, however far removed he may be from Nietzsche's ideal of +the Superman, nevertheless represents superhumanity in the domain of +consciousness. By means of quotations, taken almost at random from +the rich literature of mysticism, the author will attempt to show +that the consciousness of the mystic involves the awareness of +dimensionally higher worlds. The first group of quotations is culled +from certain of the Sacred Books of Hermes Trismegistus. + +"_Comprehend clearly_" (says Hermes to Asclepios) "_that this +sensible world is enfolded, as in a garment, by the supernal world_." + +We think of our three dimensional space, "the sensible world," as +_immersed_ in higher space; "enfolded as in a garment," therefore. +And we think of the objects of our world as having extension in a +dimensionally higher region, that "supernal world" in which the +phenomena of this sensible world arise. For: + +"_Celestial order reigns over terrestrial order: all that is done +and said upon earth has its origin in the heights, from which all +essences are dispensed with measure and equilibrium: nor is there +anything which does not emanate from one above and return thither_" + + +THE PAGE AND THE PRESS + +The idea of an all-embracing unity within and behind the seeming +manifoldness of life forms the ground rhythm of all inspired +literature, sacred and profane alike. For clarity and conciseness it +would be difficult to improve upon the formulation of this idea +contained in the following fragment: + +"_In the manifold unity of universal life the innumerable +individualities distinguished by their variations are, nevertheless, +united in such a manner that the whole is one, and that everything +proceeds from unity_. + +"_For all things depend upon unity, or develop from it, and because +they appear distant from one another it is believed that they are +many, whereas in their collectivity they form but one_." + +Now nothing so successfully resolves this paradox of the one and the +many as the concept that the things of this world are embraced and +united in a dimensionally higher world in a manner analogous to that +in which all conic sections are embraced and united within the cone. +A more elaborate and fanciful figure may serve to make this clearer +to the mind. + +Conceive of this printed page as a plane world in which every letter +is a person; every word a family; phrases and sentences, larger +communities and groups. These "innumerable individualities, +distinguished by their variations" must needs seem to themselves as +"distant from one another," their very differences of form and +arrangement a barrier to any superior unity. Yet all the while, +solely by reason of this diversity, they are co-operating towards an +end of which they cannot be aware. The mind of the reader unites and +interprets the letters into continuous thought, though they be +voiceless as stones to one another. Even so may our sad and stony +identities spell out a world's word which we know not of, by reason +of our singularity and isolation. Moreover, in the electrotype block, +the solid of which the printed page constitutes a plane presentment, +all the letters are actually "united in such a manner that the whole +is one." The metal that has moulded each into its significant form +amalgamates them into a higher unity. So also the power that makes +us separate is the same power that makes us one. + + +THE SHIP AND ITS CAPTAIN + +Here follows the lament of the souls awaiting incarnation: + + "_Behold the sad future in store for us--to minister to the wants of + a fluctuating and dissoluble body! No more may our eyes distinguish + the souls divine! Hardly through these watery spheres shall we + perceive, with sighs, our ancestral heaven: at intervals even we + shall cease altogether to behold it. By this disastrous sentence + direct vision is denied to us; we can see only by the aid of the + outer light; these are but windows that we possess--not eyes. Nor + will our pain be less when we hear in the fraternal breathing of the + winds with which no longer can we mingle our own, since ours will + have for its dwelling, instead of the sublime and open world, the + narrow prison of the breast_!" + +That the soul--the so-called subliminal self--draws from a broader, +deeper experience than the purely rational consciousness is a +commonplace of modern psychology. Hinton conceives of the soul as +_higher-dimensional_ with relation to the body, but so concerned +with the management and direction of its lower-dimensional vehicle +as to have lost, for the time being, its orientation, thinking and +moving only in those ways of which the body is capable. The analogy +he uses, of a ship and its captain, is so happy, and the whole +passage has so direct a bearing upon the Hermetic fragment quoted, +that it is given here entire. + +"I adopt the hypothesis that that which thinks in us has an ample +experience, of which the intuitions we use in dealing with the world +of real objects are a part; of which experience, the intuition of +four-dimensional forms and motions is also a part. The process we +are engaged in intellectually is the reading of the obscure signals +of our nerves into a world of reality, by means of intuitions +derived from the inner experience. + +"The image I form is as follows: Imagine the captain of a modern +battleship directing its course. He has his charts before him; he is +in communication with his associates and subordinates; can convey his +messages and commands to every part of the ship, and receive +information from the conning tower and the engine room. Now suppose +the captain, immersed in the problem of the navigation of his ship +over the ocean, to have so absorbed himself in the problem of the +direction of the craft over the plane surface of the sea that he +forgets himself. All that occupies his attention is the kind of +movement that his ship makes. The operations by which that movement +is produced have sunk below the threshold of his consciousness; his +own actions, by which he pushes the buttons, gives the orders, are +so familiar as to be automatic; his mind is on the motion of the +ship as a whole. In such a case we can imagine that he identifies +himself with the ship; all that enters his conscious thought is the +direction of its movement over the plane surface of the ocean. + +"Such is the relation, as I imagine it, of the soul to the body. A +relation which we can imagine as existing momentarily in the case of +the captain is the normal one in the case of the soul with its craft. +As the captain is capable of a kind of movement, an amplitude of +motion, which does not enter into his thoughts with regard to the +directing of the ship over the plane surface of the ocean, so the +soul is capable of a kind of movement, has an amplitude of motion, +which is not used in its task of directing the body in the +three-dimensional region in which the body's activity lies. If for +any reason it becomes necessary for the captain to consider +three-dimensional motions with regard to his ship, it would not be +difficult for him to gain the materials for thinking about such +motions; all he has to do is to call experience into play. As far as +the navigation of the ship is concerned, however, he is not obliged +to call on such experience. The ship as a whole simply moves on a +surface. The problem of three-dimensional movement does not +ordinarily concern its steering. And thus with regard to ourselves +all those movements and activities which characterize our bodily +organs are three-dimensional; we never need to consider the ampler +movements. But we do more than use these movements of our body to +effect our aims by direct means; we have now come to the pass when +we act indirectly on nature, when we call processes into play which +lie beyond the reach of any explanation we can give by the kind of +thought which has been sufficient for the steering of our craft as a +whole. + +"When we come to the problem of what goes on in the minute and apply +ourselves to the mechanism of the minute, we find our habitual +conceptions inadequate. The captain in us must wake up to his own +intimate nature, realize those functions of movement which are his +own, and in the virtue of his knowledge of them apprehend how to +deal with the problems he has come to." + + _The Fourth Dimension_. + +How more accurately and eloquently could "the captain in us," +momentarily aroused, give voice to his predicament, than in the words, +"_Instead of the sublime and open world, the narrow prison of the +breast_." + + +DIRECT VISION + +The "watery spheres" in the Hermetic fragment are of course the eyes, +a mechanism inferior in many ways to the camera of man's own devising. +The phenomena of clairvoyance make known a mode of vision which is +confined to no specific sense organ, approximating much more closely +to true perception than does physical sight. Mr. C.W. Leadbeater in +_Clairvoyance_ specifically affirms that this higher power of +sight is four-dimensional. He says: "The idea of the fourth +dimension as expounded by Mr. Hinton is the only one which gives any +kind of explanation down here of astral vision ... which lays every +point in the interior of a solid body absolutely open to the gaze of +the seer, just as every point of the interior of a circle lies open +to the gaze of a man looking down upon it." "I can see all around and +every way," exclaims one of the psychometers reported in William +Denton's _The Soul of Things_. + +The "outer light" by which the physical eye is able to see objects +is sunlight. Upon this clairvoyant vision in no wise depends, +involving, as it does, other octaves of vibration. We should be able +to receive ideas of this order without incredulity since the advent +of "dark" photography and the ultra-violet microscope. By aid of the +latter, photographs are taken in absolute darkness, the lenses used +being transparent to light rays invisible to the eye, but active +photographically. + +The foregoing passages from _The Virgin of the World_ show a +remarkable resemblance between the Hermetic philosophy and modern +higher-space thought. The parallelism is not less striking in the +case of certain other mystic philosophers of the East. + + +PLATO'S SHADOW-WATCHERS + +"Parmenides," says Hinton, "and the Asiatic thinkers with whom he is +in close affinity, propound a theory of existence which is in close +accord with a conception of a possible relation between a higher and +a lower-dimensional space." He concludes, "Either one of two things +must be true, that four-dimensional conceptions give a wonderful +power of representing the thought of the East, or that the thinkers +of the East must have been looking at and regarding four-dimensional +existence." + +It would not be difficult to re-state, in terms of our hypothesis, +Plato's doctrine of an enduring archetypal world of ideas reflected +in a world of transitory images and appearances. Fortunately, Plato +has relieved the author of that necessity by doing it himself in his +wonderful allegory of the shadow-watchers in _The Republic_. The +trend of his argument is clear; as its shadow is to a solid object, +so is the object itself to its archetypal idea. This is the manner +in which he presents this thought: + +"Imagine a number of men living in an underground cavernous chamber, +with an entrance open to the light, extending along the entire +length of the cavern, in which they have been confined, from their +childhood, with their legs and neck so shackled, that they are +obliged to sit still and look straight forwards, because their +chains render it impossible for them to turn their heads round: and +imagine a bright fire burning some way off, above and behind them, +and an elevated roadway passing between the fire and the prisoners, +with a low wall built along it, like the screens which conjurors put +up in front of their audience, and above which they exhibit their +wonders." + + "I have it," he replied. + +"Also, figure to yourself a number of persons walking behind this +wall, and carrying with them statues of men, and images of other +animals, wrought in wood, stone, and all kinds of materials, together +with various other articles, which overtop the wall; and, as you +might expect, let some of the passers-by be talking, and others +silent" + +"You are describing a strange scene, and strange prisoners." + +"They resemble us," I replied. "For let me ask you, in the first +place, whether persons so confined could have seen anything of +themselves or of each other, beyond the shadows thrown by the fire +upon the part of the cavern facing them." + +"Certainly not, if you suppose them to have been compelled all their +lifetime to keep their heads unmoved." + +"And is not their knowledge of the things carried past them equally +limited?" + +"Unquestionably it is." + +"And if they were able to converse with one another, do you not +think that they would be in the habit of giving names to the objects +which they saw before them?" + +"Doubtless they would." + +"Again: if their prison house returned an echo from the part facing +them, whenever one of the passers-by opened his lips, to what, let +me ask you, could they refer the voice, if not to the shadow which +was passing?" + +"Unquestionably they would refer it to that." + +"Then surely such persons would hold the shadows of the manufactured +articles to be the only realities." + +"Without a doubt they would." + +Plato (in the person of Socrates) then considers what would happen +if the course of nature brought to the prisoners a release from +their fetters and a remedy for their foolishness, and concludes as +follows: + +"Now this imaginary case, my dear Glaucon, you must apply in all its +parts to our former statements, by comparing the region which the +eye reveals, to the prison-house, and the light of the fire therein +to the power of the sun; and if, by the upward ascent and the +contemplation of the upper world, you understand the mounting of the +soul in the intellectual region, you will hit the tendency of my own +surmises ... the view which I take of the subject is to the +following effect." + +Briefly, the view taken is that the "Form of Good" perceived by the +mind is the source of everything that is perceived by the senses. +This is equivalent to saying that the objects of our three-space +world are projections of higher-dimensional realities--that there is +a supernal world related to this world as a body is related to the +shadow which it casts. + + +SWEDENBORG + +Emerson, in his _Representative Men_, chose Swedenborg as the +representative mystic. He accepted Swedenborg's way of looking at +the world as universally characteristic of the mystical temperament. +The Higher Space Theory was unheard of in Swedenborg's day, +nevertheless in his religious writings--thick clouds shot with +lightning--the idea is implicit and sometimes even expressed, though +in a terminology all his own. + +To Swedenborg's vision, as to Plato's, this physical world is a +world of ultimates, in all things correspondent to the casual world, +which he names "heaven." "_It is to be observed_," he says, +"_that the natural world exists and subsists from the spiritual world, +just as an effect exists from its efficient cause_." + +According to Swedenborg, conditions in "heaven" are different from +those in the world: space is different: distance is different He says, +"_Space in heaven is not like space in the world, for space in the +world is fixed, and therefore measurable: but in heaven it is not +fixed and therefore cannot be measured_." + +Herein is suggested a _fluidic_ condition, singularly in accord with +certain modern conceptions in theoretical physics. Commenting upon +the significance of Lobatchewsky's and Bolyai's work along the lines +of non-Euclidian geometry, Hinton says, "By immersing the conception +of distance in matter, to which it properly belongs, it promises to +be of the greatest aid in analysis, for the effective distance of +any two particles is the result of complex material conditions, and +cannot be measured by hard and fast rules." + +The higher correlative of physical distance is a difference of state +or condition, according to the Norwegian seer. "_Those are far apart +who differ much_," he says "_and those are near who differ little_." +Distance in the spiritual world, he declares, originates solely +"_in the difference in the state of their minds, and in the heavenly +world, from the difference in the state of their loves_." This +immediately suggests the Oriental teaching that the place and human +environment into which a man is born have been determined by his own +thoughts, desires, and affections in anterior existences, and that +instant by instant all are determining their future births. The +reader to whom the idea of reincarnation is repellent or unfamiliar +may not be prepared to go this length, but he must at least grant +that in the span of a single lifetime thought and desire determine +action, and consequently, position in space. The ambitious man goes +from the village to the city; the lover of nature seeks the wilds; +the misanthrope avoids his fellowmen, the gregarious man gravitates +to crowds. We seek out those whom we love, we avoid those whom we +dislike; everywhere the forces of attraction and repulsion play +their part in determining the tangled orbits of our every-day lives. +In other words, the subjective, and (hypothetically) higher activity +in every man records itself in a world of three dimensions as action +upon an environment. Thought expresses itself in action, and so +flows outward into space. + +Observe how perfectly this fits in with Swedenborg's contention that +physical remoteness has for its higher correspondence a difference +of love and of interest; and physical juxtaposition, a similarity of +these. In heaven, he says, "Angels of similar character are as it +were spontaneously drawn together." So would it be on earth, but for +impediments inherent in our terrestrial space. Swedenborg's angels +are men freed from these limitations. We suffer because the free +thing in us is hampered by the restrictions of a space to which it +is not native. Reason sufficient for such restriction is apparent in +the success that crowns every effort at the annihilation of space, +and the augmentation of power and knowledge that such effort brings. +It would appear that a narrowing of interest and endeavor is always +the price of efficiency. The angel is confined to "the narrow prison +of the breast" that it may react upon matter just as an axe is +narrowed to an edge that it may cleave. + + +MAN THE SPACE-EATER + +Man has been called the thinking animal. _Space-eater_ would be a +more appropriate title, since he so dauntlessly and persistently +addresses himself to overcoming the limitations of his space. To +realize his success in this, compare, for example, the voyage of +Columbus' caravels with that of an ocean liner; or traveling by +stage coach with _train de luxe_. Consider the telephone, +the phonograph, the cinematograph, from the standpoint of +space-conquest--and wireless telegraphy which sends forth messages +in every direction, over sea and land. Most impressive of all are +the achievements in the domain of astronomy. One by one the sky has +yielded its amazing secrets, till the mind roams free among the stars. +The reason why there are to-day so many men braving death in the air +is because the conquest of the third dimension is the task to which +the Zeit-Geist has for the moment addressed itself, and these +intrepid aviators are its chosen instruments--sacrificial pawns in +the dimension-gaining game. + +All these things are only the outward and visible signs of the angel, +incarnate in a world of three dimensions, striving to realize higher +spatial, or heavenly, conditions. This spectacle, for example, of a +millionaire hurled across a continent in a special train to be +present at the bedside of a stricken dear one, may be interpreted as +the endeavor of an incarnate soul to achieve, with the aid of human +ingenuity applied to space annihilation, that which, discarnate, it +could compass without delay or effort. + + +THE WITHIN AND WITHOUT + +In Swedenborg's heaven "_all communicate by the extension of the +sphere which goes forth from the life_ _of every one. The sphere of +their life is the sphere of their affections of love and hate_." + +This is as fair a description of thought transference and its +necessary condition as could well be devised, for as in wireless +telegraphy, its mechanical counterpart, it depends upon synchronism +of vibration in a "sphere which goes forth from the life of every one." +Thought transference and kindred phenomena in which all categories +of space and time lose their significance baffle our understanding +because they appear to involve the idea of being in two places--in +many places--at once, a thing manifestly at variance with our own +conscious experience. It is as though the pen point should suddenly +become the sheet of paper. But strange as are these matters and +mysterious as are their method, no other hypothesis so well explains +them as that they are higher-dimensional experiences of the self. We +have the universal testimony of all mystics that the attainment of +mystical consciousness is by inward contemplation--turning the mind +back upon itself. Swedenborg says, "_It can in no case be said that +heaven is outside of any one, but it is within him for every angel +participates in the heaven around him by virtue of the heaven which +is within him_." Christ said, "_The Kingdom of Heaven is within you_," +and there is a saying attributed to Him to the effect that "_When +the outside becomes the inside, then the Kingdom of Heaven is come_." +These and such arcane sayings as "_Know Thyself_" engraved upon the +lintels of ancient temples of initiation, powerfully suggest the +possibility that by penetrating to the center of our individual +consciousness we expand outwardly into the cosmic consciousness as +though _in_ and _out_ were the positive and negative of a new +dimension. By exerting a force in the negative direction upon a +slender column of water in a hydraulic press, it is possible to +raise in the positive direction a vast bulk of water with which that +column, through the mechanism of the press, is connected. This is +because both columns, the little and the big, enclose one body of +fluid. The attainment of higher states of consciousness is potential +in every one, for the reason that the consciousness of a greater +being flows through each individual. + + +INTUITION AND REASON + +There is the utmost unanimity in the testimony of the mystics that +the world without and the world within are but different aspects of +the same reality--"_The eye with which I see God is the same eye with +which He sees me_." They never weary of the telling of the +solidarity and invisible continuity of life, the inclusion not only +of the minute in the vast, but of the vast in the minute. We may +accept this form of perception as characteristic of consciousness in +its free state. Its instrument is the _intuition_, which divines +relations between diverse things through a perception of unity. The +instrument of the purely mundane consciousness, on the other hand, +is the _reason_, which dissevers and dissects phenomena, divining +unity through correlation. Now if physical phenomena, in all their +manifoldness, are lower-dimensional projections, upon a +lower-dimensional space, of a higher unity, then reason and +intuition are seen to be two modes of one intelligence, engaged in +apprehending life from below (by means of the reason) through its +diversity, and from above (by means of intuition) through its unity. + +Those who recognize in the intuition a valid organ of knowledge, are +disposed to exalt it above the reason, but at our present state of +evolution, and given our environment, it would seem that the reason +is the more generally useful faculty of the two. In that unfolding, +that manifesting of the higher in the lower--which is the idea the +four-dimensionalist has of the world--the painstaking, minute, +methodical action of the reasoning mind applied to phenomena +achieves results impossible to Pisgah-sighted intuition. The power, +peculiar to the reason, of isolating part after part from the whole +to which it belongs, and considering them thus isolated, makes +possible in the end a synthesis in which the whole is not merely +glimpsed, but known to the last detail. + +The method of the reason is symbolized in so trifling a thing as the +dealing out one by one of a pack of cards and their reassembling. +The pack has been made to show forth its content by a process of +disruption--of slicing. Similarly, if a scientist wants to gain a +thorough comprehension of a complicated organism, he dissects it, or +submits it to a process of slicing, studying each slice separately +under the microscope while keeping constantly in mind the relation +of one slice to another. This amounts to nothing less than reducing +a thing from three dimensions to two, in order to know it thoroughly. +Now the flux of things corresponds to the four-dimensional aspect of +the world, and with this the reason finds it impossible to deal. As +Bergson has so well shown, the reason cuts life into countless +cross-sections: a thing must be dead before it can be dissected. +This is why the higher-dimensional aspect of life, divined by the +intuition, escapes rational analysis. + + +THE COIL OF LIFE + +Swedenborg's description of "the ascent and descent of forms" and +the "forces and powers" which flow therefrom, suggests, by reason of +the increasing amplitude and variety of form and motion, a +progression from space to space. This description is too long and +involved to find place here, but its conclusion is as follows: + +"_Such now is the ascent and descent of forms or substances in the +greatest, and in our least universe: similar also is the descent of +all forces and powers which flow from them. But all their perfection +consists in the possibility and virtue of varying themselves, or of +changing states, which possibility increases with their elevations, +so that in number it exceeds all the series of calculations unfolded +by human minds, and still inwardly involved by them: which +infinities finally become what is finite in the Supreme. Our ideas +are merely progressions by variations of form, and thus by actual +changes of state_." + +His sense of the beauty and orderliness of the whole process, and +his despair of communicating it, find characteristic utterance in +the following passage: + +"_If thou could'st discern, my beloved, how distinctly and +ordinately these forms are arranged and connected with each other, +from the mere aspect and infinity of so many wonderful things +connected with each other, from the mere aspect and infinity of so +many wonderful things conspiring into one, thou would'st fall down, +from an inmost impulse, with sacred astonishment, and at the same +time pious joy, to perform an act of worship and of love before such +an architect_." + +In his description of the manner in which these forms cohere and +successively unfold, he introduces one of the basic concepts of +higher space thought; namely, that in the "descent of forms" from +space to space, that which in the higher exists all together--that +is, _simultaneously_--can only manifest itself in the lower +piecemeal--that is, _successively_. He says: + +"_Nothing is together in any texture or effect which was not +successively introduced; and everything is therein, according as +order itself introduces it: wherefore simultaneous order derives its +birth, nature and perfection from successive orders, and the former +is only rendered perspicuous and plain by the latter.... What is +supreme in things successive takes the inmost place in things +simultaneous: thus things superior in order super-involve things +inferior and wrap them together, that these latter may become +exterior in the same order: by this method first principles, which +are also called simple, unfold themselves, and involve themselves in +things posterior or compound: wherefore every perfection of what is +outermost flows forth from inmost principles by their series: hence +thy beauty, my daughter, the only parent of which is order itself_." + +This passage, like a proffered dish full of rare fruit, tempts the +metaphysical appetite by the wealth and variety of its appeal; but +not to weary the reader, the author will content himself by the +abstraction of a single plum. The plum in question is simply this +(and the reader is asked to read the quotation carefully again): may +not every act, incident, circumstance in a human life be the +"uncoiling" of a karmic aggregate? This coil of life may be thought +of most conveniently in this connection as the _character_ of the +person, a character built up, or "successively introduced" in +antecedent lives. The sequence of events resultant on its "unwinding" +would be the destiny of the person--a destiny determined, necessarily, +by past action. This concept gives a new and more eloquent meaning +to the phrase "Character is destiny." If we carry our thought no +further, we are plunged into the slough of determinism--sheer +fatality. But in each reincarnation, however predetermined every act +and event, their reaction upon consciousness remains a matter of +determination--is therefore _self_-determined. We may not control +the event, but our acceptance of it we may control. Moreover, each +"unwinding" of the karmic coil takes place in a new environment, in a +world more highly organized by reason of the play upon it of the +collective consciousness of mankind. Though the same individual +again and again intersects the stream of mundane experience, it is an +evolving ego and an augmenting stream. Therefore each life of a +given series forms a different, a more intricate, and a more amazing +pattern: in each the thread is drawn from nearer the central energy, +which is divine, and so shows forth more of the coiled power within +the soul. + + + + +X GENIUS + + +IMMANENCE + +The greatest largess to the mind which higher thought brings is the +conviction of a transcendent existence. Though we do not know the +nature of this existence, except obscurely, we are assured of its +reality and of its immanence, through a growing sense that all that +happens to us is simply our relation to it. + +In our ant-like efforts to attain to some idea of the nature of this +transcendent reality, let us next avail ourselves of the help +afforded by the artist and the man of genius, too troubled by the +flesh for perfect clarity of vision, too troubled by the spirit not +to attempt to render or record the Pisgah-glimpses of the +world-order now and then vouchsafed. For the genius stands midway +between man and Beyond-man: in Nietzsche's phrase, "Man is a bridge +and not a goal." + +Of all the writers on the subject of genius, Schopenhauer is the +most illuminating, perhaps because he suffered from it so. According +to him, the essence of genius lies in the perfection and energy of +its _perceptions_. Schopenhauer says, "He who is endowed with talent +thinks more quickly and more correctly than others; but the genius +beholds another world from them all, although only because he has a +more profound perception of the world which lies before them also, +in that it presents itself in his mind more objectively, and +consequently in greater purity and distinctness." This profounder +perception arises from his detachment: his intellect has to a +certain extent freed itself from the service of his will, and leads +an independent life. So long as the intellect is in the service of +the will, that which has no relation to the will does not exist for +the intellect; but along with this partial severance of the two +there comes a new power of perception, synthetic in its nature, a +complex of relationships not reproducible in _linear_ thought, for +the mind is oriented simultaneously in _many_ different directions. +Of this order of perception the well-known case of Mozart is a +classic example. He is reported to have said of his manner of +composing, "I can see the whole of it in my mind at a single glance ... +in which way I do not hear it in my imagination at all as +succession--the way it comes later--but all at once, as it were. It +is a rare feast! all the inventing and making goes on in me as in a +beautiful strong dream." + + +TIMELESSNESS + +The inspirations of genius come from a failure of attention to life, +which, all paradoxically, brings vision--the power to see life +clearly and "see it whole." Consciousness, unconditioned by time, +"in a beautiful strong dream," awakens to the perception of a world +that is timeless. It brings thence some immortelle whose power of +survival establishes the authenticity of the inspiration. However +local and personal any masterpiece may be, it escapes by some potent +magic all geographical and temporal categories, and appears always +new-born from a sphere in which such categories do not exist. + +No writer was more of his period than Shakespeare, yet how +contemporary he seems to each succeeding generation. Leonardo, in a +perfect portrait, showed forth the face of a subtle, sensuous, and +mocking spirit, against a background of wild rocks. It represents +not alone the soul-phase of the later Renaissance, but of every +individual and of every civilization which on life's dangerous and +orgiastic substratum has reared a mere garden of delight. Living +hearts throb to the music penned by the dead hand of Mozart and of +Beethoven; the clownings of Aristophanes arouse laughter in our +music halls; Euripides is as subtle and world-weary as any modern; +the philosophies of Parminides and Heraclitus are recrudescent in that +of Bergson; and Plato discusses higher space under a different name. + + +BEYOND GOOD AND EVIL: BEAUTY + +The second characteristic of works of genius is their indifference +to all man-made moral standards. They are beyond all that goes by +the name of good and evil, in that the two are used indifferently +for the furtherance of a purely aesthetic end. The Beyond-man +discovers beauty in the abyss, and ugliness in mere worldly rectitude. +Leonardo painted the Medusa head, with its charnel pallor and its +crown of writhing snakes, no less lovingly than the sweet-tender +face of the Christ of the Cenacolo, and the beauty is not less, +though of an opposite sort. Shakespeare's most profound sayings and +most magical poetry are as often as not put in the mouths of his +villains and his clowns. To genius, pain is purgation; ugliness, +beauty in disturbance. It injects the acid of irony into success, +and distils the attar of felicity from failure. It teaches that the +blows of fate are aimed, not at us, but at our fetters; that death +is swallowed up in victory, that the Hound of Heaven is none other +than the Love of God. + +Though genius rebels at our moralities, it always submits itself to +beauty. Emerson says, "Goethe and Carlyle, and perhaps Novalis, have +an undisguised dislike or contempt for common virtue standing on +common principles. Meantime they are dear lovers, steadfast +maintainers of the pure, ideal morality. But they worship it as the +highest beauty, their love is artistic." And so it is throughout the +whole hierarchy of men of genius. "Beauty is Truth: Truth, Beauty," +is the motto which guides their far-faring feet, as they lead us +wheresoever they will. With Victor Hugo, we follow, undisgusted, +through the sewers of old Paris: his sense of beauty disinfects them +for us. With Balzac and Tolstoy we gaze unrevolted upon the +nethermost depths of human depravity, discerning moral beauty even +there; while with Virgil, Dante and Milton, we walk unscathed in +Hell itself. The _terribilita_ of Michaelangelo, the chaos and +anarchy of Shakespeare at his greatest, as in Lear--these find +expression in perfect rhythms, so potent that we recognize them as +proceeding from a supernal beauty, the beauty of that soul "from +which also cometh the life of man and of beast, and of the birds of +the air and of the fishes of the sea." + + +THE DAEMONIC + + "Unknown,--albeit lying near,-- + To men the path to the Daemon sphere." + +But to men of genius--"Minions of the Morning Star"--the path is not +unknown, and for this reason the daemonic element constantly shows +itself in their works and in their lives. Dante, Cellini, Goethe, +three men as unlike in the nature of their several gifts and in +their temperaments as could easily be named together, are drawn to a +common likeness through the daemonic gleam which plays and hovers +over them at times. With William Blake it was a flame that wrapped +him round. Today no one knows how Brunelleschi was able to construct +his great dome without centering, nor how Michaelangelo could limn +his terrible figures on the wet plaster of the Sistine vault with +such extraordinary swiftness and skill; but we have their testimony +that they invoked and received divine aid. Shakespeare, the +master-magician, is silent on this point of supernatural +assistance--as on all points--except as his plays speak for him; +but how eloquently they speak! "The Tempest" is made up of the +daemonic; the murky tragedy of "Macbeth" unfolds under the guidance +of incarnate forces of evil which drive the hero to his doom and +final deliverance in death: Hamlet sees and communes with the ghost +of his father; in short, the supernatural is as much a part of these +plays as salt is part of the ocean. If from any masterpiece we could +abstract everything not strictly rational--every element of wonder, +mystery, and enchantment--it would be like taking all of the unknown +quantities out of an equation: there would be nothing left to solve. +The mind of genius is a wireless station attuned to the vibrations +from the daemonic sphere; the works of genius fascinate and delight +us largely for this reason: we, too, respond to these vibrations and +are demonologists in our secret hearts. + +For the interest which we take in genius has its root in the +interest which we take in ourselves. Genius but utters experiences +common to us all, records perceptions of a world-order which we too +have glimpsed. Love, hope, pain, sorrow, disappointment, often +effect that momentary purgation which enables consciousness to +function independently of the tyrant will. These hours have for us a +noetic value--"some veil did fall"--revealing visions remembered +even unto the hour of death. + + +"DEATH" + +That "failure of attention to life" which begets inspiration in the +man of genius comes, indeed, daily to every one, but without his +being able to profit by it. For what is sleep but a failure of +attention to life--so complete a failure that memory brings back +nothing save that little caught in the net of dreams--yet even this +little is so charged with creative energy as to give rise to the +saying that every man is a genius in his dreams. + +Death also is a failure of attention to life, the greatest that we +know, and poorest therefore in plunder from supernatural realms. +Nevertheless reports of persons who have narrowly escaped death give +evidence at least that to those emancipated by death, life, viewed +from some higher region of space, is perceived as a unity. When a +man is brought face to face with death, the events of life pass +before the mind's eye in an instant, and he comes from such an +experience not only with deeper insight into himself, but into the +meaning and purpose of life also. The faces of the dead, those +parchments where are written the last testament of the departed +spirit, bear an expression of solemn peace, sometimes of joy, +sometimes of wonder: terror and agony are seldom written there, save +when the fatal change comes in some painful or unnatural way. + + +THE PLAY OF BRAHM + +Inspiration, dreams, visions at the moment of death--these things we +say are _irrational_, and so in a sense they are. Bergson has +compared the play of reason upon phenomena to the action of a +cinematograph machine which reproduces the effect of motion by +flashing upon the screen a correlated series of _fixed_ images. In +like manner the reason dissects the flux of life and presents it to +consciousness part by part, but never as a whole. In supernormal +states however we may assume that with the breakdown of some barrier +life flows in like a tidal wave, paralyzing the reason, and +therefore presenting itself in an irrational manner to consciousness. +Were reason equal to the strain put upon it under these circumstances, +in what light might the phantasmagoria of human life appear? Might +it not be perceived as a representation, merely, of a supernal world, +higher-dimensional in relation to our own? Just as a moving picture +shows us the round and living bodies of men and women as flat +images on a plane, enacting there some mimic drama, so on the +three-dimensional screen of the world men and women engaged in +unfolding the drama of personal life may be but the images of souls +enacting, on higher planes of being, the drama of their own salvation. +The reluctance of the American aborigine to be photographed is said +to have been due to his belief that something of his personality, +his human potency, went into the image, leaving him by so much the +poorer from that time forth. Suppose such indeed to be the case: +that the flat-man on the moving picture screen leads his little life +of thought and emotion, related to the mental and emotional life of +the living original as the body is related to its photographic +counterpart. In similar manner the potencies of the higher self, the +dweller in higher spaces, may flow into and express themselves in and +through us. We may be images in a world of images; our thoughts +shadows of archetypal ideas, our acts a shadow-play upon the +luminous screen of material existence, revealing there, however +imperfectly, the moods and movements of a higher self in a higher +space. + +The saying, "All the world's a stage," may be true in a sense +Shakespeare never intended. It formulates, in effect, the oldest of +all philosophical doctrines, that contained in the Upanishads of +Brahma, the Enjoyer, who takes the form of a mechanically perfect +universe in order to read his own law with eyes of his own creation. +"He thought: 'Shall I send forth worlds?' He sent forth these worlds." +To the question, "What worlds?" the Higher Space Hypothesis makes +answer, "Dimensional systems, from lowest to highest, each one a +_representation_ of the one next above, where it stands _dramatized_, +as it were. This is the play of Brahm; endlessly to dissever, in +time and space, and to unite in consciousness, like the geometrician +who discovers every ellipse, parabola, and hyperbola, in the cone +where all inhere." + +The particular act of the drama of unfolding consciousness upon +which the curtain is now upfurled is that wherein we discover the +world to be indeed a stage, a playground for forces masquerading as +forms: "they have their exits and their entrances," or, as expressed +in the Upanishads, "All that goes hence (dies on earth) heaven +consumes it all; and all that goes thence (returns from heaven to a +new life) the earth consumes it all." + + + + +XI THE GIFT OF FREEDOM + + +CONCEPT AND CONDUCT + +A surgeon once remarked to the author that among his professional +associates he had noticed an increasing awareness of the invisible. +This he claimed was manifest in the fact that the young men educated +since the rise of bacteriological science were more punctilious in +the matter of extreme personal cleanliness and the sterilization of +their instruments than the older and often more accomplished +surgeons whose habits in these matters had been formed before the +general sense of an _invisible_ menace had become acute. + +This anecdote well illustrates the unconscious reaction of new +concepts upon conduct. Preoccupation with the problems of space +hyper-dimensionality cannot fail to produce profound changes in our +ethical outlook upon life and in our attitude towards our fellow +beings. The nature of these changes it is not difficult to forecast. + +Although higher-space thought makes painfully clear our limitations, +it nevertheless leads to the perception that these very limitations +are inhibited powers. In this way it supplies us with a workable +method whereby we may enter that transcendental world of which we +glimpse so many vistas. This method consists in first becoming aware +of a limitation, and then in forcing ourselves to dramatize the +experience that would be ours if the limitation did not affect us. +We then discover in ourselves a power for transcending the limitation, +and presently we come to live in the new mode as easily as in the old. +Thought, conscious of its own limitations, leads to the New Freedom. +"Become what thou art!" is the maxim engraved upon the lintel of +this new Temple of Initiation. + + +SELFLESSNESS + +Higher-space speculation is an education in _selflessness_, for it +demands the elimination of what Hinton calls _self-elements_ of +observation. The diurnal motion of the sun is an example of a +self-element: it has nothing to do with the sun but everything to do +with the observer. The Ptolemaic system founded on this illusion +tyrannized over the human mind for centuries, but who knows of how +many other illusions we continue to be victims--for the worst of a +self-element is that its presence is never dreamed of until it is +done away with. The Theory of Relativity presents us with an effort +to get rid of the self-element in regard to space and time. A +self-centered man cannot do full justice to this theory: it requires +of the mind a certain detachment, and the idea becomes clear in +proportion as this detachment, this selflessness, is attained. + +So while it would be too much to claim that higher thought makes men +unselfish, it at least cracks the hard shell in which their +selfishness abides. If a man disciplines himself to abdicate his +personal point of view in thinking about the world he lives in, it +makes easier a similar attitude in relation to his fellow men. + + +HUMILITY + +One of the earliest effects of selfless thought is the exorcism of +all arrogance. The effort to dramatize the relation of an earthworm +to its environment makes us recognize that its predicament is our own, +different only in degree. We are exercising ourselves in humility +and meekness, but of a sort leading to a mastery that may well make +the meek the inheritors of the earth. Hinton was himself so meek a +man that his desire did not rise to the height of expecting or +looking for the beautiful or the good: he simply asked for something +to know. He despaired of knowing anything definitely and certainly +except arrangements in space. We have his testimony as to how +abundantly this hunger and thirst after that right knowledge which +is righteousness was gratified. "All I want to do," he says, +"is to make this humble beginning of knowledge and show how +inevitably, by devotion to it, it leads to marvellous and +far-distant truths, and how, by strange paths, it leads directly +into the presence of some of the highest conceptions which great +minds have given us." + +Here speaks the blessed man referred to by the psalmist, "Whose +delight is in the law of the Lord, and in His law doth he meditate +day and night." Abandoning a vain search after abstractions, and +applying his simple formula to life, Hinton found that it enabled +him to express the faith in his heart in terms conformable to reason; +that it led back to, and illumined the teachings of every spiritual +instructor and inspirer of mankind. + + +SOLIDARITY + +That we are all members of one body, branches of one vine, is a +matter of faith and of feeling; but with the first use of the weapon +of higher thought the paradox of the one and the many is capable of +so clear and simple a resolution that the sublime idea of human +solidarity is brought down from the nebulous heaven of the mystic to +the earth of every day life. To our ordinary space-thought, men are +isolated, distinct, each "an infinitely repellent particle," but we +conceive of space too narrowly. The broader view admits the idea +that men are related by reason of a superior union, that their +isolation is but an affair of limited consciousness. Applying this +concept to conduct, we come to discern a literal truth in the words +of the Master, "He who hath done it unto the least of these my +children, hath done it unto me," and "Where two or three are +gathered together in my name." If we conceive of each individual as a +"slice" or cross-section of a higher being, each fragment isolated +by an inhibition of consciousness which it is moment by moment +engaged in transcending, the sacrifice of the Logos takes on a new +meaning. This disseverance into millions of human beings is that +each may realize God in himself. Conceiving of humanity as God's +broken body, we are driven to make peace among its members, and by +realization we become the Children of God. + + +LIVE OPENLY + +"_Blessed are the meek," "Blessed are they that hunger and thirst +after righteousness." "Blessed are the peacemakers_." It would not +be impossible to trace a relation between higher space thought and +the other beatitudes also, but it will suffice simply to note the +fact that the central and essential teaching of the Sermon on the +Mount, "Let your light shine before men" is implicit in the +conviction of every one who thinks on higher space: he must _live +openly_. By continual dwelling upon the predicament of the flat-man, +naked, as it were, to observation from an eye which looks down upon +his plane, we come to realize our own exposure. In that large world +all that we think, or do, or imagine, lies open, palpable; there is +no such thing as secrecy. Imbued with this idea, we begin to live +openly because we must; but soon we come to do so because we desire +it. In making toward one another our limited lives open and manifest, +we treat each other in the service of truth as though we were all +members of that higher world. We imitate, in our world, our true +existence in a higher world, and so help to establish heavenly +conditions upon earth. + + +NON-RESISTANCE TO EVIL + +The problem of ugliness and evil would seem at first thought to be +totally unrelated to the subject of space hyperdimensionality, but +there is at least a symbolical relation. This was suggested to the +author by the endeavor of two friends whose interests were +pre-eminently mathematical to discover what certain four-dimensional +figures would look like in three-dimensional space. They found +that in a great number of cases these cross-sections, when +thus isolated, revealed little of the symmetry and beauty of their +higher-dimensional archetypes. It is clear that a beautiful form of +our world, traversing a plane, would show nothing of its beauty to +the planeman, who lacked the power of perceiving it entire; for the +sense of beauty is largely a matter of co-ordination. We give the +names of evil, chance, fate, ugliness, to those aspects of life and +of the world that we fail to perceive in their true relations, in +regard to which our power of correlation breaks down. Yet we often +find that in the light of fuller knowledge or subsequent experience, +the fortune which seemed evil was really good fortune in the making, +that the chance act or encounter was too momentous in its +consequences to be regarded as other than ordained. + +The self-element plays a large part in our idea of good and evil, +ugliness and beauty. "All things are as they seem to all." Desire of +her will make any woman beautiful, and fear will exercise an absolute +inhibition upon the aesthetic sense. As we recede in time from events, +they more and more emancipate themselves from the tyranny of our +personal prejudices and predilections, and we are able to perceive +them with greater clarity, more as they appear from the standpoint +of higher time and higher space. "Old, unhappy, far-off things, and +battles long ago" lose their poignancy of pain and take on the +poignancy of beauty. The memory of suffering endured is often the +last thing from which we would be parted, while humdrum happiness we +are quite willing to forget. Because we realize completely only in +retrospect, it may well be that the present exists chiefly for the +sake of the future. Then let the days come with veiled faces, accept +their gifts whose value we are so little able to appraise! There is +a profound and practical truth in Christ's saying, "Resist not evil." +Honor this truth by use, and welcome destiny in however sinister a +guise. + + +THE IMMANENT DIVINE + +In the fact of the limited nature of our space perceptions is found +a connecting link between materialism and idealism. For, passing +deeper and deeper in our observation of the material world, that +which we at first felt as real passes away to become but the outward +sign of a reality infinitely greater, of which our realities are +appearances only, and we become convinced of the existence of +_an immanent divine._ "In Him we live and move and have our being." +Our space is but a limitation of infinite "room to move about": +"_In my Father's house are many mansions_." Our time is but a +limitation of infinite duration: "_Before Abraham was, I am_." Our +sense of space is the consciousness that we abide in Him; our sense +of time is the consciousness that He abides in us. Both are modes of +apprehension of divinity--growing, expanding modes. In conceiving of +a space of more than three dimensions we prove that our relation to +God is not static, but dynamic. Christ said to the man who was sick +of the palsy, "Rise, take up thy bed and walk." The narrow concept +of three-dimensional space is a bed in which the human mind has lain +so long as to become at last inanimate. The divine voice calls to us +again to demonstrate that we are alive. Thinking in terms of the +higher we issue from the tomb of materialism into the sunlight of +that sane and life-giving idealism which is Christ's. + + + + + + + +End of Project Gutenberg's Four-Dimensional Vistas, by Claude Fayette Bragdon + +*** END OF THIS PROJECT GUTENBERG EBOOK FOUR-DIMENSIONAL VISTAS *** + +***** This file should be named 11906-8.txt or 11906-8.zip ***** +This and all associated files of various formats will be found in: + https://www.gutenberg.org/1/1/9/0/11906/ + +Produced by PG Distributed Proofreaders + +Updated editions will replace the previous one--the old editions +will be renamed. + +Creating the works from public domain print editions means that no +one owns a United States copyright in these works, so the Foundation +(and you!) can copy and distribute it in the United States without +permission and without paying copyright royalties. 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You may copy it, give it away or +re-use it under the terms of the Project Gutenberg License included +with this eBook or online at www.gutenberg.org + + +Title: Four-Dimensional Vistas + +Author: Claude Fayette Bragdon + +Release Date: April 4, 2004 [EBook #11906] + +Language: English + +Character set encoding: ASCII + +*** START OF THIS PROJECT GUTENBERG EBOOK FOUR-DIMENSIONAL VISTAS *** + + + + +Produced by PG Distributed Proofreaders + + + + + + +FOUR-DIMENSIONAL +VISTAS + +by + +Claude Bragdon + +[Illustration] + +New York + + + + "_Perception has a destiny_." + _Emerson_. + + + + +INTRODUCTION + +There are two notable emancipations of the mind from the tyranny of +mere appearances that have received scant attention save from +mathematicians and theoretical physicists. + +In 1823 Bolyai declared with regard to Euclid's so-called axiom of +parallels, "I will draw two lines through a given point, both of +which will be parallel to a given line." The drawing of these lines +led to the concept of the curvature of space, and this to the idea +of _higher_ space. + +The recently developed Theory of Relativity has compelled the +revision of the time concept as used in classical physics. One +result of this has been to introduce the notion of _curved_ time. + +These two ideas, of curved time and higher space, by their very +nature are bound to profoundly modify human thought. They loosen the +bonds within which advancing knowledge has increasingly labored, +they lighten the dark abysses of consciousness, they reconcile the +discoveries of Western workers with the inspirations of Eastern +dreamers; but best of all, they open vistas, they offer "glimpses +that may make us less forlorn." + + + + +CONTENTS + + +I. THE QUEST OF FREEDOM + +The Undiscovered Country--Miracles--The Failure of Common Sense--The +Function of Science--Mathematics--Intuition--Our Sense of Space--The +Subjectivity of Space--The Need of an Enlarged Space-Concept. + +II. THE DIMENSIONAL LADDER + +Learning to Think in Terms of Spaces--From the Cosmos to the +Corpuscle--And Beyond--Evolution as Space-Conquest--Dimensional +Sequences--Man the Geometer--Higher, and Highest, Space. + +III. PHYSICAL PHENOMENA + +Looking for the Greater in the Less--Symmetry--Other Allied +Phenomena--Isomerism--The Orbital Motion of Spheres: Cell-Subdivision-- +The Electric Current--The Greater Universe--A Hint from Astronomy-- +Gravitation--The Ether of Space. + +IV. TRANSCENDENTAL PHYSICS + +Zoellner--Apparitions--Possession--Clairvoyance in Space--Clairvoyance +in Time--Pisgah Sights of Life's Pageant. + +V. CURVED TIME + +Time from the Standpoint of Experiment and of Conscious Experience-- +Relativity--The Spoon-Man--The Orbital Movement of Time--Materiality +the Mirror of Consciousness--Periodicity. + +VI. SLEEP AND DREAMS + +Sleep--Dreams--Time in Dreams--The Eastern Teaching in regard to Sleep +and Dreams--Space in Dreams--The Phenomenon of Pause. + + +VII. THE NIGHT SIDE OF CONSCIOUSNESS + +The Field of Psychic Research--Modifying the Past--Karma and +Reincarnation--Colonel De Rochas' Experiments. + +VIII. THE EASTERN TEACHING + +Oriental Physics and Metaphysics--The Self-Recovered Memory of past +Births--Release. + +IX. THE MYSTICS + +Hermes Trismegistus--The Page and the Press--The Ship and its +Captain--Direct Vision--Plato's Shadow-Watchers--Swedenborg--Man, +the Space-Eater--The Within and Without--Intuition and Reason--The +Coil of Life. + +X. GENIUS + +Immanence--Timelessness--Beyond Good and Evil: Beauty--The Daemonic-- +"A Dream and a Forgetting"--The Play of Brahm. + +XI. THE GIFT OF FREEDOM + +Concept and Conduct--Selflessness--Humility--Solidarity--Live Openly-- +Non-Resistance to Evil--The Immanent Divine. + + + + + +FOUR-DIMENSIONAL VISTAS + + + +I THE QUEST OF FREEDOM + + +THE UNDISCOVERED COUNTRY + +Expectancy of freedom is the dominant note of to-day. Amid the crash +of armies and the clash of systems we await some liberating stroke +which shall release us from the old dreary thralldoms. As Nietzsche +says, "It would seem as though we had before us, as a reward for all +our toils, a country still undiscovered, the horizons of which no +one has yet seen, a beyond to every country and every refuge of the +ideal that man has ever known, a world so overflowing with beauty, +strangeness, doubt, terror and divinity, that both our curiosity and +our lust of possession are frantic with eagerness." + +Should a name be demanded for this home of freedom, there are those +who would unhesitatingly call it _The Fourth Dimension of Space_. +For such readers as may be ignorant of the amazing content of this +seemingly meaningless phrase, any summary attempt at enlightenment +will lead only to deeper mystification. To the question, where and +what is the fourth dimension, the answer must be, it is here--in us, +and all about us--in a direction toward which we can never point +because at right angles to all the directions that we know. Our +space cannot contain it, because it contains our space. No walls +separate us from this demesne, not even the walls of our fleshly +prison; yet we may not enter, even though we are already "there." It +is the place of dreams, of living dead men: it is _At the Back of +the North Wind_ and _Behind the Looking Glass_. + +So might one go on, piling figure upon figure and paradox upon +paradox, to little profit. The effective method is the ordered and +deliberate one; therefore the author asks of his reader the +endurance of his curiosity pending certain necessary preparations of +the mind. + + +MIRACLES + +Could one of our aviators have landed in ancient Athens, doubtless +he would have been given a place in the Greek Pantheon, for the old +idea of a demigod was a man with wings. Why, then, does a flying man +so little amaze us? Because we know about engines, and the smell of +gasoline has dulled our sense of the sublime. The living voice of a +dead man leaves us unterrified if only we can be sure that it comes +from a phonograph; but let that voice speak to us out of vacancy and +we fall a prey to the same order of alarm that is felt by a savage +at the report of a gun that he has never seen. + +This illustration very well defines the nature of a miracle: it is a +manifestation of power new to experience, and counter to the current +thought of the time, Miracles are therefore always in order, they +always happen. It is nothing that the sober facts of to-day are more +marvellous than the fictions of Baron Munchausen, so long as we +understand them: it is everything that phenomena are multiplying, +that we are unable to understand. This increasing pressure upon +consciousness _from a new direction_ has created a need to found +belief on something firmer than a bottomless gullibility of mind. +This book is aimed to meet that need by giving the mind the freedom +of new spaces; but before it can even begin to do so, the reader +must be brought to see the fallacy of attempting to measure the +limits of the possible by that faculty known as common sense. And by +common sense is meant, not the appeal to abstract reason, but to +concrete experience. + + +THE FAILURE OF COMMON SENSE + +Common sense had scarce had its laugh at Bell, and its shout of +"I told you so!" at poor Langley, when lo! the telephone became the +world's nervous system, and aeroplanes began to multiply like summer +flies. To common sense the alchemist's dream of transmuting lead +into gold seems preposterous, yet in a hundred laboratories radium +is breaking down into helium, and the new chemistry bids fair to +turn the time-honored jeer at the alchemists completely upside down. +A wife whose mind was oriented in the new direction effectually +silenced her husband's ridicule of what he called her credulity by +reminding him that when wireless telegraphy was first suggested he +had exclaimed, "Ah, that, you know, is one of the things that is not +possible!" He was betrayed by his common sense. + +The lessons such things teach us are summed up in the reply of Arago, +the great savant, to the wife of Daguerre. She asked him if he +thought her husband was losing his mind because he was trying to +make permanent the image in a mirror. Arago is said to have answered, +"He who, outside of pure mathematics, says a thing is impossible, +speaks without reason." + +Common sense neither leads nor lags, but is ever limited to the +passing moment: the common knowledge of to-day was the mystery and +enchantment of the day before yesterday, and will be the mere +commonplace of the day after to-morrow. If common sense can so +little anticipate the ordinary and orderly advancement of human +knowledge, it is still less able to take that leap into the dark +which is demanded of it now. The course of wisdom is therefore to +place reliance upon reason and intuition, leaving to common sense +the task of guiding the routine affairs of life, and guiding these +alone. + + +THE FUNCTION OF SCIENCE + +In enlisting the aid of reason in our quest for freedom, we shall be +following in the footsteps of mathematicians and theoretical +physicists. In their arduous and unflinching search after truth they +have attained to a conception of the background of phenomena of far +greater breadth and grandeur than that of the average religionist of +to-day. As a mathematician once remarked to a neo-theosophist, +"Your idea of the ether is a more material one than the materialist's +own." Science has, however, imposed upon itself its own limitations, +and in this connection these should be clearly understood. + +Science is that knowledge which can be gained by exact observation +and correct thinking. If science makes use of any methods but these +it ceases to be itself. Science has therefore nothing to do with +morals: it gives the suicide his pistol, the surgeon his life-saving +lance, but neither admonishes nor judges them. It has nothing to do +with emotion: it exposes the chemistry of a tear, the mechanism of +laughter; but of sorrow and happiness it has naught to say. It has +nothing to do with beauty: it traces the movements of the stars, and +tells of their constitution; but the fact of their singing together, +and that "such harmony is in immortal souls," it leaves to poet and +philosopher. The timbre, loudness, pitch, of musical tones, is a +concern of science; but for this a Beethoven symphony is no better +than the latest ragtime air from the music halls. In brief, science +deals only with _phenomena_, and its gift to man is power over his +material environment. + + +MATHEMATICS + +The gift of pure mathematics, on the other hand, is primarily to the +mind and spirit: the fact that man uses it to get himself out of his +physical predicaments is more or less by the way. Consider for a +moment this paradox. Mathematics, the very thing common sense swears +by and dotes on, contradicts common sense at every turn. Common +sense balks at the idea of _less than nothing_; yet the _minus_ +quantity, which in one sense is less than nothing in that something +must be added to it to make it equal to nothing, is a concept +without which algebra would have to come to a full stop. Again, the +science of quaternions, or more generally, a vector analysis in +which the progress of electrical science is essentially involved, +embraces (explicitly or implicitly) the extensive use of _imaginary_ +or _impossible_ quantities of the earlier algebraists. The very +words "imaginary" and "impossible" are eloquent of the defeat of +common sense in dealing with concepts with which it cannot +practically dispense, for even the negative or imaginary solutions +of imaginary quantities almost invariably have some physical +significance. A similar statement might also be made with regard to +_transcendental_ functions. + +Mathematics, then, opens up ever new horizons, and its achievements +during the past one hundred years give to thought the very freedom +it seeks. But if science is dispassionate, mathematics is even more +austere and impersonal. It cares not for teeming worlds and hearts +insurgent, so long as in the pure clarity of space, relationships +exist. Indeed, it requires neither time nor space, number nor +quantity. As the mathematician approaches the limits already +achieved by study, the colder and thinner becomes the air and the +fewer the contacts with the affairs of every day. The Promethean +fire of pure mathematics is perhaps the greatest of all in man's +catalogue of gifts; but it is not most itself, but least so, when, +immersed in the manifoldness of phenomenal life, it is made to serve +purely utilitarian ends. + + +INTUITION + +Common sense, immersed in the mere business of living, knows no more +about life than a fish knows about water. The play of reason upon +phenomena dissects life, and translates it in terms of inertia. The +pure logic of mathematics ignores life and disdains its limitations, +leading away into cold, free regions of its own. Now our desire for +freedom is not to vibrate in a vacuum, but to live more abundantly. +_Intuition_ deals with life directly, and introduces us into +life's own domain: it is related to reason as flame is related to +heat. All of the great discoveries in science, all of the great +solutions in mathematics, have been the result of a _flash_ of +intuition, after long brooding in the mind. _Intuition illumines_. +Intuition is therefore the light which must guide us into that +undiscovered country conceded by mathematics, questioned by science, +denied by common sense--_The Fourth Dimension of Space_. + + +OUR SENSE OF SPACE + +Space has been defined as "room to move about." Let us accord to +this definition the utmost liberty of interpretation. Let us +conceive of space not alone as room to move ponderable bodies in, +but as room to think, to feel, to strike out in unimaginable +directions, to overtake felicities and knowledges unguessed by +experience and preposterous to common sense. Space is not measurable: +we attribute dimensionality to space because such is the method of +the mind; and that dimensionality we attribute to space is +progressive because progression is a law of the mind. The so-called +dimensions of space are to space itself as the steps that a climber +cuts in the face of a cliff are to the cliff itself. They are not +necessary to the cliff: they are necessary only to the climber. +Dimensionality is the mind's method of mounting to the idea of the +infinity of space. When we speak of the fourth dimension, what we +mean is the fourth stage in the apprehension of that infinity. We +might as legitimately speak of a fifth dimension, but the +profitlessness of any discussion of a fifth and higher stages lies +in the fact that they can be intelligently approached only through +the fourth, which is still largely unintelligible. The case is like +that of a man promised an increase of wages after he had worked a +month, who asks for his second month's pay before he is entitled to +the first. + + +THE SUBJECTIVITY OF SPACE + +Without going deep into the doctrine of the ideality--that is, the +purely subjective reality--of space, it is easy to show that we have +arrived at our conception of a space of three dimensions by an +intellectual process. The sphere of the senses is two-dimensional: +except for the slight aid afforded by binocular vision, sight gives +us moving pictures _on a plane_, and touch contacts _surfaces_ only. +What circumstances, we may ask, have compelled our intellect to +conceive of _solid_ space? This question has been answered as follows: + +"If a child contemplates his hand, he is conscious of its existence +in a double manner--in the first place by its tangibility, the +second by its image on the retina of his eye. By repeated groping +about and touching, the child knows by experience that his hand +retains the same form and extension through all the variations of +distance and position under which it is observed, notwithstanding +that the form and extension of the image on the retina constantly +change with the different position and distance of his hand in +respect to his eye. The problem is thus set to the child's +understanding: how to reconcile to his comprehension the apparently +contradictory facts of the _invariableness_ of the object together +with the _variableness_ of its appearance. This is only possible +within a space of three dimensions, in which, owing to perspective +distortions and changes, these variations of projection can be +reconciled with the constancy of the form of a body." + +Thus we have come to the idea of a three-dimensional space in order +to overcome the apparent contradictoriness of facts of sensible +experience. Should we observe in three-dimensional space +contradictory facts our reason would be forced to reconcile these +contradictions, also, and if they could be reconciled by the idea of +a four-dimensional space our reason would accept this idea without +cavil. Furthermore, if from our childhood, phenomena had been of +daily occurrence requiring a space of four or more dimensions for an +explanation conformable to reason, we should feel ourselves native +to a space of four or more dimensions. + +Poincare, the great French mathematician and physicist, arrived at +these same conclusions by another route. By a process of +mathematical reasoning of a sort too technical to be appropriately +given here, he discovers an order in which our categories range +themselves naturally, and which corresponds with the points of space; +and that this order presents itself in the form of what he calls a +"three circuit distribution board." "Thus the characteristic property +of space," he says, "that of having three dimensions, is only a +property of our distribution board, _a property residing, so to speak, +in human intelligence_." He concludes that a different association +of ideas would result in a different distribution board, and that +might be sufficient to endow space with a fourth dimension. He +concedes that there may be thinking beings, living in our world, +whose distribution board has four dimensions, and who do +consequently think in hyperspace. + + +THE NEED OF AN ENLARGED SPACE-CONCEPT + +It is the contrariety in phenomena already referred to, that is +forcing advanced minds to entertain the idea of higher space. +Mathematical physicists have found that experimental contradictions +disappear if, instead of referring phenomena to a set of three space +axes and one time axis of reference, they be referred to a set of +four interchangeable axes involving four homogeneous co-ordinates. +In other words, _time_ is made the fourth dimension. Psychic +phenomena indicate that occasionally, in some individuals, +the will is capable of producing physical movements for whose +geometrico-mathematical definition a four-dimensional system of +co-ordinates is necessary. This is only another step along the road +which the human mind has always travelled: our conception of the +cosmos grows more complete and more just at the same time that it +recedes more and more beneath the surface of appearances. + +Far from the Higher Space Hypothesis complicating thought, it +simplifies by synthesis and co-ordination in a manner analogous to +that by which plane geometry is simplified when solid geometry +becomes a subject of study. By immersing the mind in the idea of +many dimensions, we emancipate it from the idea of dimensionality. +But the mind moves most readily, as has been said, in ordered +sequence. Frankly submitting ourselves to this limitation, even +while recognizing it as such, let us learn such lessons from it as +we can, serving the illusions that master us until we have made them +our slaves. + + + + +II THE DIMENSIONAL LADDER + + +LEARNING TO THINK IN TERMS OF SPACES + +The Reader who is willing to consider the Higher Space Hypothesis +seriously, who would discover, by its aid, new and profound truths +closely related to life and conduct, should first of all endeavor to +arouse in himself a new power of perception. This he will best +accomplish by learning to discern dimensional sequences, not alone +in geometry, but in the cosmos and in the natural world. By so doing +he may erect for himself a veritable Jacob's ladder, + + "Pitched between Heaven and Charing Cross." + +He should accustom himself to ascend it, step by step, dimension by +dimension. Then he will learn to trust Emerson's dictum, "Nature +geometrizes," even in regions where the senses fail him, and the mind +alone leads on. Much profitable amusement is to be gained by such +exercises as follow. They are in the nature of a running up and down +the scales in order to give strength and flexibility to a new set of +mental fingers. Learning to think in terms of spaces contributes to +our emancipation from the tyranny of space. + + +FROM THE COSMOS TO THE CORPUSCLE + +By way of a beginning, proceed, by successive stages, from the +contemplation of the greatest thing conceivable to the contemplation +of the most minute, and note the space sequences revealed by this +shifting of the point of view. + +The greatest thing we can form any conception of is the starry +firmament made familiar to the mind through the study of astronomy. +No limit to this vastitude has ever been assigned. Since the +beginning of recorded time, the earth, together with the other +planets and the sun, has been speeding through interstellar space at +the rate of 300,000,000 miles a year, without meeting or passing a +single star. A ray of light, travelling with a velocity so great as +to be scarcely measurable within the diameter of the earth's orbit, +takes years to reach even the nearest star, centuries to reach those +more distant. Viewed in relation to this universe of suns, our +particular sun and all its satellites--of which the earth is +one--shrinks to a point (a _physical_ point, so to speak--not +geometrical one). + +The mind recoils from these immensities: let us forsake them, then, +for more familiar spaces, and consider the earth in its relation to +the sun. Our planet appears as a _moving_ point, tracing out a +_line_--a _one-space_--its path around the sun. Now let us remove +ourselves in imagination only far enough from the earth for human +beings thereon to appear as minute moving things, in the semblance, +let us say, of insects infesting an apple. It is clear that from +this point of view these beings have a freedom of movement in their +"space" (the surface of the earth), of which the larger unit is not +possessed; for while the earth itself can follow only a _line_, its +inhabitants are free to move in the two dimensions of the surface of +the earth. + +Abandoning our last coign of vantage, let us descend in imagination +and mingle familiarly among men. We now perceive that these +creatures which from a distance appeared as though flat upon the +earth's surface, are in reality erect at right angles to its plane, +and that they are endowed with the power to move their members in +_three dimensions_. Indeed, man's ability to traverse the surface +of the earth is wholly dependent upon his power of three-dimensional +movement. Observe that with each transfer of our attention from +greater units to smaller, we appear to be dealing with a power of +movement in an additional dimension. + +Looking now in thought not _at_ the body of man, but _within_ it, we +apprehend an ordered universe immensely vast in proportion to that +physical ultimate we name the electron, as is the firmament immensely +vast in proportion to a single star. It has been suggested that in +the infinitely minute of organic bodies there is a power of movement +in a _fourth_ dimension. If so, such four-dimensional movement may +be the proximate cause of the phenomenon of _growth_--of those +chemical changes and renewals whereby an organism is enabled to +expand in three-dimensional space, just as by a three-dimensional +power of movement (the act of walking) man is able to traverse his +two-dimensional space--the surface of the earth. + + +--AND BEYOND + +Proceed still further. Behind such organic change--assumed to be +four-dimensional--there is the determination of some _will-to-live_, +which manifests itself to consciousness as thought and as desire. +Into these the idea of space does not enter: we think of them as in +_time_. But if there are developments of other dimensions of space, +thought and emotion may themselves be discovered to have space +relations; that is, they may find expression in the forms of _higher_ +spaces. Thus is opened up one of those rich vistas in which the +subject of the fourth dimension abounds, but into which we +can only glance in passing. If there are such higher-dimensional +_thought-forms_, our normal consciousness, limited to a world of +three dimensions, can apprehend only their three-dimensional aspects, +and these not simultaneously, but successively--that is, in _time_. +According to this view, any unified series of _actions_--for example, +the life of an individual, or of a group--would represent the +straining, so to speak, of a thought-form through our _time_, as the +bodies subject to these actions would represent its straining +through our space. + + +EVOLUTION AS SPACE-CONQUEST + +Evolution is a struggle for, and a conquest of, space; for evolution, +as the word implies, is a _drawing out_ of what is inherent from +latency into objective reality, or in other words into spatial--and +temporal--extension. + +This struggle for space, by means of which the birth and growth of +organisms is achieved, is the very texture of life, the plot of +every drama. Cells subdivide; micro-organisms war on one another; +plants contend for soil, light, moisture; flowers cunningly suborn +the bee to bring about their nuptials; animals wage deadly warfare +in their rivalry to bring more hungry animals into a space-hungry +world. Man is not exempt from this law of the jungle. Nations +intrigue and fight for land--of which wealth is only the symbol--and +a nation's puissance is measured by its power to push forward into +the territory of its neighbor. The self-same impulse drives the +individual. One measure of the difference between men in the matter +of efficiency is the amount of space each can command: one has a +house and grounds in some locality where every square inch has an +appreciable value; another some fractional part of a lodging house +in the slums. When this bloodless, but none the less deadly, contest +for space becomes acute, as in the congested quarters of great cities, +man's ingenuity is taxed to devise effective ways of augmenting his +_space-potency_, and he expands in a vertical direction. This +third-dimensional extension, typified in the tunnel and in the +skyscraper, is but the latest phase of a conquest of space which +began with the line of the pioneer's trail through an untracked +wilderness. + + +DIMENSIONAL SEQUENCES + +Not only does nature everywhere geometrize, but she does so in a +particular way, in which we discover dimensional sequences. Consider +the transformation of solid, liquid, gas, from one to another, under +the influence of heat. A solid, set in free motion, can follow only +a _line_--as is the case of a thrown ball. A liquid has the added +power of lateral extension. Its tendency, when intercepted, is to +spread out in the two dimensions of a _plane_--as in the case of a +griddle cake; while a gas expands universally in all directions, as +shown by a soap-bubble. It is a reasonable inference that the fourth +state of matter, the corpuscular, is affiliated to some +four-dimensional manner of extension, and that there may be states +beyond this, involving even higher development of space. + +Next glance at the vegetable kingdom. The seed, a _point_, generates +a _line_ system, in stem, branches, twigs, from which depend _planes_ +in the form of leaves and flowers, and from these come fruit, +_solids_. + + "The point, the line, the surface and the sphere, + In seed, stem, leaf and fruit appear." + +A similar sequence may be noted within the body: the _line_-network +of the nerves conveys the message of sensation from the _surface_ of +the body to some center in the _solid_, of the brain--and thence to +the Silent Thinker, "he who is without and within," or in terms of +our hypothesis, "he who dwells in higher space." + + +MAN THE GEOMETER + +When man essays the role of creator he cannot do otherwise than +follow similar sequences: it is easy to discern dimensional +progression in the products of man's ingenuity and skill. Consider, +for example, the evolution of a building from its inception to its +completion. It exists first of all in the mind of the architect, and +there it is indubitably higher-spatial, for he can interpenetrate +and examine every part, and he can consider it all at once, viewing +it simultaneously from without and from within, just as one would be +able to do in a space of four dimensions. He begins to give his idea +physical embodiment by making with a pencil-_point, lines_ on a +_plane_ (a piece of paper), the third dimension being represented +by means of the other two. Next (if he is careful and wise) he makes +a three-dimensional model. From the architect's drawings the engineer +establishes his points, lays out his angles, and runs his lines upon +the site itself. The mason follows, and with his footing courses +makes ponderable and permanent the lines of the engineer. These +lines become in due course walls--vertical planes. Floors and +roofs--horizontal planes--follow, until some portion of +three-dimensional space has been enclosed. + +Substantially the same sequence holds, whatever the kind of building +or the character of the construction--whether a steel-framed +skyscraper or a wooden shanty. A line system, represented by columns +and girders in the one case, and by studs and rafters in the other, +becomes, by overlay or interposition, a system of planes, so +assembled and correlated as to define a solid. + +With nearly everything of man's creating--be it a bureau or a +battleship--the process is as above described. First, a pattern to +scale; next, an actual linear framework; then planes defining a solid. +Consider almost any of the industries practiced throughout the ages: +they may be conceived of thus in terms of dimensions; for example, +those ancient ones of weaving and basket making. _Lines_ (threads in +the one case, rushes in the other) are wrought into _planes_ to +clothe a body or to contain a burden. Or think, if you choose, of +the modern industry of book-making, wherein types are assembled, +impressed upon sheets of paper, and these bound into volumes-- +_points, lines, planes, solids_. The book in turn becomes the unit +of another dimensional order, in the library whose serried shelves +form lines, which, combined into planes, define the lateral limits +of the room. + + +HIGHER--AND HIGHEST--SPACE + +These are truisms. What have they to do, it may be asked, with the +idea of _higher_ spaces? They have everything to do with it, for in +achieving the enclosure of any portion of solid space the limit of +known dimensions has been reached without having come to any end. +More dimensions--higher spaces--are required to account for higher +things. All of the products of man's ingenuity are inanimate except +as he himself animates them. They remain as they were made, machines, +not organisms. They have no inherent life of their own, no power of +growth and renewal. In this they differ from animate creation +because the highest achievement of the creative faculty in man in a +mechanical way lacks the life principle possessed by the plant. And +as the most perfect machine is inferior in this respect to the +humblest flower that grows, so is the highest product of the +vegetable kingdom inferior to man himself, the maker of the machine; +for he can reflect upon his own and the world's becoming, while the +plant can only become. + +What is the reason for these differences of power and function? +According to the Higher Space Hypothesis they are due to varying +potencies of movement in the secret causeways and corridors of space. +The higher functions of consciousness--volition, emotion, +intellection--may be in some way correlated with the higher powers +of numbers, and with the corresponding higher developments of space. +Thus would the difference between physics and metaphysics become a +difference of degree and not of kind. Evolution is to be conceived +of as a continuous pushing back of the boundary between +representation and reality, or as a conquest of space. We may +conceive of space as of an infinite number of dimensions, and of +consciousness as a moving--or rather as an expanding--point, +embracing this infinity, involving worlds, powers, knowledges, +felicities, within itself in everlasting progression. + + + + +III PHYSICAL PHENOMENA + + +LOOKING FOR THE GREATER IN THE LESS + +After the assured way in which the author has conducted the reader +repeatedly up and down the dimensional ladder, it may be a surprise +to learn that physical phenomena offer no irrefragable evidences of +hyper-dimensionality. We could not think in higher space if +consciousness were limited to three dimensions. The mathematical +reality of higher space is never in question: the higher dimensions +are as valid as the lower, but the hyper-dimensionality of matter is +still unproven. Man's ant-like efforts to establish this as a truth +have thus far been vain. + +Lest this statement discourage the reader at the very outset, he +should understand the reason for such failure. We are _embedded_ in +our own space, and if that space be embedded in higher space, how are +we going to discover it? If space is curved, how are we going to +measure its curvature? Our efforts to do so may be compared to +measuring the distance between the tips of a bent bow by measuring +along the bow instead of along the string. + +Imagine a scientifically-minded threadworm to inhabit a page of +Euclid's solid geometry: the evidences of three-dimensionality are +there, in the very diagrams underneath his eyes; but you could not +_show_ him a solid--the flat page could not contain it, any more +than our space can contain a form of four dimensions. You could only +say to him, "These lines _represent_ a solid." He would have to +depend on his _faith_ for belief and not on that "knowledge gained +by exact observation and correct thinking" in which alone the +scientist finds a sure ground for understanding. + +It is an axiom of science never to look outside three-space horizons +for an understanding of phenomena when these can logically be +accounted for within those horizons. Now because, on the Higher +Space Hypothesis, each space is the container of all phenomena of +its own order, the futility, for practical purposes, of going +outside is at once apparent. The highly intelligent threadworm +neither knows nor cares that the point of intersection of two lines +in his diagram _represents_ a point in a space to which he is a +stranger. The point is there, on his page: it is what he calls a +_fact_. "Why raise" (he says) "these puzzling and merely academic +questions? Why attempt to turn the universe completely upside down?" + +But though no _proofs_ of hyper-dimensionality have been found in +nature, there are equally no contradictions of it, and by using a +method not inductive, but deductive, the Higher Space Hypothesis +is plausibly confirmed. Nature affords a sufficient number of +_representations_ of four-dimensional forms and movements to justify +their consideration. + + +SYMMETRY + +Let us first flash the light of our hypothesis upon an all but +universal characteristic of living forms, yet one of the most +inexplicable--_symmetry_. + +Animal life exhibits the phenomenon of the right-and left-handed +symmetry of solids. This is exemplified in the human body, wherein +the parts are symmetrical with relation to the axial _plane_. +Another more elementary type of symmetry is characteristic of the +vegetable kingdom. A leaf in its general contour is symmetrical: +here the symmetry is about a _line_--the midrib. This type of +symmetry is readily comprehensible, for it involves simply a +revolution through 180 degrees. Write a word on a piece of paper and +quickly fold it along the line of writing so that the wet ink +repeats the pattern, and you have achieved the kind of symmetry +represented in a leaf. + +With the symmetry of solids, or symmetry with relation to an axial +_plane_, no such simple movement as the foregoing suffices to +produce or explain it, because symmetry about a plane implies +_four-dimensional_ movement. It is easy to see why this must be so. +In order to achieve symmetry in any space--that is, in any given +number of dimensions--there must be revolution in the next higher +space: one more dimension is necessary. To make the (two-dimensional) +ink figure symmetrical, it had to be folded over _in the third +dimension_. The revolution took place about the figure's _line_ of +symmetry, and in a _higher_ dimension. In _three_-dimensional +symmetry (the symmetry of solids) revolution must occur about the +figure's _plane_ of symmetry, and in a higher--i.e., the _fourth_ +dimension. Such a movement we can reason about with mathematical +definiteness: we see the result in the right- and left-handed +symmetry of solids, but we cannot picture the movement ourselves +because it involves a space of which our senses fail to give any +account. + +Now could it be shown that the two-dimensional symmetry observed in +nature is the result of a three-dimensional movement, the right-and +left-handed symmetry of solids would by analogy be the result of a +_four_-dimensional movement. Such revolution (about a plane) would +be easily achieved, natural and characteristic, in four space, just +as the analogous movement (about a line) is easy, natural, and +characteristic, in our space of three dimensions. + + +OTHER ALLIED PHENOMENA + +In the mirror image of a solid we have a representation of what +would result from a four-dimensional revolution, the surface of the +mirror being the plane about which the movement takes place. If such +a change of position were effected in the constituent parts of a +body as a mirror image of it _represents_, the body would have +undergone a revolution in the fourth dimension. Now two varieties of +tartaric acid crystallize in forms bearing the relation to one +another of object to mirror image. It would seem more reasonable to +explain the existence of these two identical, but reversed, +varieties of crystal, by assuming the revolution of a single variety +in the fourth dimension, than by any other method. + +There are two forms of sugar found in honey, dextrose and levulose. +They are similar in chemical constitution, but the one is the +reverse of the other when examined by polarized light--that is, they +rotate the plane of polarization of a ray of light in opposite ways. +If their atoms are conceived to have the power of motion in the +fourth dimension, it would be easy to understand why they differ. +Certain snails present the same characteristics as these two forms +of sugar. Some are coiled to the right and others to the left; and +it is remarkable that, like dextrose and levulose, their juices are +optically the reverse of each other when studied by polarized light. + +Revolution in the fourth dimension would also explain the change in +a body from producing a right-handed, to producing a left-handed, +polarization of light. + + +ISOMERISM + +In chemistry the molecules of a compound are assumed to consist of +the atoms of the elements contained in the compound. These atoms are +supposed to be at certain distances from one another. It sometimes +happens that two compound substances differ in their chemical or +physical properties, or both, even though they have like chemical +elements in the same proportion. This phenomenon is called isomerism, +and the generally accepted explanation is that the atoms in isomeric +molecules are differently arranged, or grouped, in space. It is +difficult to imagine how atoms, alike in number, nature, and +relative proportion, can be so grouped as somehow to produce +compounds with different properties, particularly as in +three-dimensional space four is the greatest number of points whose +mutual distances, six in number, are all independent of each other. +In four-dimensional space, however, the _ten_ equal distances +between any two of _five_ points are geometrically independent, thus +greatly augmenting the number and variety of possible arrangements +of atoms. + +This just escapes being the kind of proof demanded by science. If +the independence of all the possible distances between the atoms of +a molecule is absolutely required by theoretical chemical research, +then science is really compelled, in dealing with molecules of more +than four atoms, to make use of the idea of a space of more than +three dimensions. + + +THE ORBITAL MOTION OF SPHERES: CELL SUB-DIVISION + +There is in nature another representation of hyper-dimensionality +which, though difficult to demonstrate, is too interesting and +significant to be omitted here. + +Imagine a helix, intersected, in its vertical dimension, by a moving +plane. If necessary to assist the mind, suspend a spiral spring +above a pail of water, then raise the pail until the coils, one +after another, become immersed. The spring would represent the helix, +and the surface of the water the moving plane. Concentrating +attention upon this surface, you would see a point--the elliptical +cross-section of the wire where it intersected the plane--moving +round and round in a circle. Next conceive of the wire itself as a +lesser helix of many convolutions, and repeat the experiment. The +point of intersection would then continually return upon its own +track in a series of minute loops forming those lesser loops, which, +moving circle-wise, registered the involvement of the helix in the +plane. + +It is easy to go on imagining complicated structures of the nature +of the spiral, and to suppose also that these structures are +distinguishable from each other at every section. If we think of the +intersection of these with the rising surface, as the atoms, or +physical units, of a plane universe, we shall have a world of +apparent motion, with bodies moving harmoniously amongst one another, +each a cross-section of some part of an unchanging and unmoving +three-dimensional entity. + +Now augment the whole by an additional dimension--raise everything +one space. The helix of many helices would become four-dimensional, +and superficial space would change to solid space: each tiny circle +of intersection would become a sphere of the same diameter, +describing, instead of loops, helices. Here we would be among +familiar forms, describing familiar motions: the forms, for example, +of the earth and the moon and of their motion about the sun; of the +atom, as we imagine it, the molecule and the cell. For is not the +sphere, or ovoid, the unit form of nature; and is not the spiral +vortex its characteristic motion, from that of the nebula in the sky +to the electron in the atom? Thus, on the hypothesis that our space +is traversing four-dimensional space, and that the forms of our +space are cross-sections of four-dimensional forms, the unity and +harmony of nature would be accounted for in a remarkably simple +manner. + +The above exercise of the imagination is a good preparation for the +next demand upon it. Conceive a dichotomous tree--one that always +divides into two branches--to pass through a plane. We should have, +as a plane section, a circle of changing size, which would elongate +and divide into two circles, each of which would do the same. This +reminds us of the segmentation of cell life observed under the +microscope, as though a four-dimensional figure were registering its +passage through our space. + + +THE ELECTRIC CURRENT + +Hinton conceived of an electric current as a four-dimensional vortex. +He declared that on the Higher Space Hypothesis the revolution of +the ether would yield the phenomenon of the electric current. The +reader is referred to Hinton's book, _The Fourth Dimension_, for an +extended development of this idea. What follows is a brief summary +of his argument. First, he examines the characteristics of a vortex +in a three-dimensional fluid. Then he conceives of what such a +vortex would be in a four-dimensional medium of analogous properties. +The whirl would be about a _plane_, and the contour of this plane +would correspond to the ends of the axis line in the former vortex; +and as before, the vortex would extend to the boundary. Every +electric current forms a closed circuit: this is equivalent to the +hyper-vortex having its ends in the boundary of the hyper-fluid. The +vortex with a _surface_ as its axis, therefore, affords a geometric +image of a closed circuit. + +Hinton supposes a conductor to be a body which has the property +of serving as a terminal abutment to such a hyper-vortex as has +been described. The conception that he forms of a closed current, +therefore, is of a vortex sheet having its _edge_ along the +circuit of the conducting wire. The whole wire would then be like +the centers on which a spindle turns in three-dimensional space, +and any interruption of the continuity of the wire would produce +a _tension_ in place of a continuous revolution. The phenomena +of electricity--polarity, induction, and the like--are of the nature +of the stress and strain of a medium, but one possessing properties +unlike those of ordinary matter. The phenomena can be explained in +terms of higher space. If Hinton's hypothesis be the true explanation, +the universality of electro-magnetic action would again point to the +conclusion that our three-dimensional world is _superficial_--the +surface, that is, of a four-dimensional universe. + + +THE GREATER UNIVERSE + +This practically exhausts the list of accepted and accredited +indications of hyper-dimensionality in our physical environment. But +if the collective human consciousness is moving into the fourth +dimension, such indications are bound to multiply out of all measure. +It should be remembered that in Franklin's day electricity was +manifest only in the friction of surfaces and in the thunderbolt. +To-day all physical phenomena, in their last analysis, are considered +to be electrical. The world is not different, but perception has +evolved, and is evolving. + +There is another field, in which some of our ablest minds are +searching for evidences of the curvature of space, the field of +astronomy and astro-physics. But into this the layman hesitates to +enter because the experts themselves have found no common ground of +understanding. The ether of space is a battlefield strewn with dead +and dying hypotheses; gravitation, like multiplication, is vexation; +the very nature of time, form and movement is under vivid discussion, +in connection with what is known as the Theory of Relativity. + +Notwithstanding these counter-currents of speculation, which should +make the wise man speak smilingly of his wisdom, this summary +remains incomplete without a reference to the pressure of higher +space upon those adventurous minds that essay to deal with the +profound problems of the greater universe, and a statement of the +reasons for their feeling this pressure. These reasons are well +suggested by Professor B.G. Harrison, in his _Popular Astronomy_. He +says: "With the idea of a universe of finite dimensions there is the +obvious difficulty of the beyond. The truth is that a universe of +finite proportions is equally difficult to realize as one of +infinite extent. Perhaps the nearest analogy to infinity that we can +understand lies in our conception of a closed curve. It seems easier +to imagine the endless movement of a sphere in a circular path than +the case of one travelling in a straight line. Possibly this analogy +may apply in some way to fourth-dimensional space, but the manner of +its application is certainly not easy to understand. If we would +imagine that all co-ordinates of time and space were curved, and +eventually return to the same point, it might bring the ultimate +comprehension one degree nearer." + + +A HINT FROM ASTRONOMY + +The physical evidence that our space is thus curved in higher space, +some have considered astronomy to furnish in what is called the +"negative parallax" of certain distant stars. This cannot be passed +by, though it is too deeply involved with the probable error of the +observers themselves to be considered more than an interesting fact +in this connection. Every one knows that the difference of angle +under which an object is seen from two standpoints is called its +parallax. The parallax of the stars--and the consequent knowledge of +their distance--is obtained by observing them from opposite points +of the earth's orbit around the sun. When a star is within measurable +distance, these angles are acute, and the lines from the star to the +earth at opposite sides of its orbit converge, therefore. But when +these lines, as sometimes happens, appear to be _divergent_, the +result is called a _negative_ parallax, and is explainable by higher +space relationships. Obviously, the divergence of the lines would +indicate that the object lies _behind_ the observer instead of in +front of him. This anomaly can be explained by the curvature of space +in the fourth dimension. If space is so curved, the path of light +itself is curved also, and a man--were his vision immeasurably keen, +not to say telescopic--could see the back of his own head! It is not +worth while to give this question of negative parallax too much +importance, by reason of the probability of error, but in this +connection it should be stated that there appears to be an undue +number of negative parallaxes recorded. + + +GRAVITATION + +Gravitation remains a puzzle to science. The tendency of modern +physics is to explain all material phenomena in terms of electrons +and the ether, but the attempt to account for gravitation in this +way is attended with difficulties. In order to cope with these, it +seems necessary to assume that our universe is only a portion of a +greater universe. This assumption readily lends itself to the +conception of our universe as a three-dimensional meeting place of +two portions of a universe of four dimensions--that is, its +conception as a "higher" surface. This is a fundamental postulate of +higher space speculation. + +One hypothesis advanced to explain gravitation assumes the existence +of a constant hydrostatic pressure transmitted through the ether. A +steady flow of ether into every electron in a gravitating system of +bodies would give rise to forces of attraction between them, varying +inversely as the square of the distance, according to Newton's law. +But in order to avoid the conception of the continual destruction +and creation of ether, it is necessary to assume a steady flow +through every electron between our universe and the greater universe +of which it is assumed to form a part Now because the electrons, in +order to receive this flow, must lie on the boundary of this greater +universe, the latter must be four-dimensional. Every electron, in +other words, must be the starting point of a pathway into--and a +terminal point out of--four-dimensional space. Here we have another +familiar higher space concept. + + +THE ETHER OF SPACE + +The ether of space, because it has at last found entrance, must be +given a grudging hospitality in these pages, even though the +mysterious stranger prove but a ghost. The Relativists would have it +that with the acceptance of their point of view the ether may be +eliminated; but if they take away the ether, they must give us +something in its stead. In whatever way the science of the future +disposes of this problem, it must take into account the fact of +light transmission. On the theory that the ether is an elastic solid +of amazing properties, in which the light waves vibrate _transversely_ +to their direction, it assists the mind to think of the ether as +four-dimensional, because then a light wave would be a superficial +disturbance of the medium--superficial, but three-dimensional, as +must needs be the case with the surface of a four-dimensional solid. + + * * * * * + +This search for evidences of hyper-dimensionality in the universe +accessible to our senses is like looking, not for a needle in a +haystack, but for a haystack in a needle--for the greater in the less. +From the purely physical evidences, all that can with certainty be +said is that the hypothesis is not inconsistent with the facts of +science or its laws; that it is being verified and rendered more +probable by the investigations of science; that it is applicable to +the description or explanation of all the observed phenomena, and +assigns a cause fully adequate to have produced them. + +Now there is an order of phenomena that we call psychic. Because +they are phenomenal they cannot occur outside of time and space +altogether; because they are psychic they defy explanation in terms +of the space and time of every-day life. Let us next examine these +in the light of our hypothesis. + + + + +IV TRANSCENDENTAL PHYSICS + +ZOeLLNER + +In the year 1877, Johann Friedrich Zoellner, professor of physics and +astronomy at the University of Leipsic, undertook to prove that +certain (so-called) psychic phenomena were susceptible of explanation +on the hypothesis of a four-dimensional space. He used as +illustrations the phenomena induced by the medium Henry Slade. By +the irony of events, Slade was afterward arrested and imprisoned for +fraud, in England. This fact so prejudiced the public mind against +Zoellner that his name became a word of scorn, and the fourth dimension +a synonym for what is fatuous and false. Zoellner died of it, but +since his death public opinion has undergone a change. There is a +great and growing interest in everything pertaining to the fourth +dimension, and belief in that order of phenomena upon which Zoellner +based his deductions is supported by evidence at once voluminous and +impressive. + +It is unnecessary to go into the question of the genuineness of the +particular phenomena which Zoellner witnessed. His conclusions are +alone important, since they apply equally to other manifestations, +whose authenticity has never been successfully impeached. Zoellner's +reasoning with regard to certain psychic phenomena is somewhat along +the following lines. + + +APPARITIONS + +_The intrusion (as an apparition) of a person or thing into a +completely enclosed portion of three-space; or contrariwise, the +exit (as an evanishment) out of such a space_. + +Because we lack the sense of four-dimensional space, we must here +have recourse to analogy, and assume three-dimensional space to be +the unsensed higher region encompassing a world of two dimensions, +To a hypothetical flat-man of a two-space, any portion of his plane +surrounded by an unbroken line would constitute an enclosure. Were +he confined within it, escape would be impossible by any means known +to him. Had he the ability to move in the third dimension, however, +he could rise, pass over the enclosing line without disturbing it, +and descend on the other side. The moment he forsook the plane he +would disappear from two-dimensional space. Such a disappearance +would constitute an occult phenomenon in a world of two dimensions. + +Correspondingly, an evanishment from any three-dimensional +enclosure--such as a room with locked doors and windows--might be +effected by means of a movement in the fourth dimension. Because a +body would disappear from our perception the moment it forsook our +space, such a disappearance would be a mystery; it would constitute +an occult phenomenon. The thing would be no more mysterious, however, +to a consciousness embracing four dimensions within its ken, than +the transfer of an object from the inside to the outside of a plane +figure without crossing its linear boundary is mysterious to us. + + +POSSESSION + +_The temporary possession of a person's body, or some member of +that body, by an alien will, as exemplified in automatic writing and +obsession_. + +It would doubtless amaze the scientifically orthodox to know how +many people habitually and successfully practice the dubious art of +automatic writing--not mediums, so-called, but people of refinement +and intelligence. Although the messages received in this way may +emanate from the subconscious mind of the performer, there is +evidence to indicate that they come sometimes from an intelligence +discarnate, or from a person remote from the recipient in space. + +If such is indeed the case, if the will is extraneous, how does it +possess itself of the nerves and muscles of the hand of the writer? +The Higher Space Hypothesis is of assistance here. It is only +necessary to remember that from the fourth dimension the interior of +a solid is as much exposed as the interior of a plane figure is +exposed from the region of the third dimension. A four-dimensional +being would experience no difficulty, under suitable conditions, in +possessing itself of any part of the bodily mechanism of another. + +The same would hold true in cases of possession and obsession; for +if the bastion of the hand can thus be captured, so also may the +citadel of the brain. Certain familiar forms of hypnotism are not +different from obsession, the hypnotizer using the brain and body of +his subject as though they were his own. All unconsciously to himself, +he has called into play four-dimensional mechanics. Many cases of +so-called dual personality are more easily explicable as possession +by an alien will than on the less credible hypothesis that the +character, habits, and language of a person can change utterly in a +moment of time. + + +CLAIRVOYANCE IN SPACE + +_Vision at a distance and the exercise of a superior power of sight_. + +Clairvoyance in space is of various kinds and degrees. Sometimes it +consists in the perception of super-physical phenomena--the +unfurling of a strange and wonderful land; and again it appears to +be a higher power of ordinary vision, a kind of seeing to which the +opacity of solids offers no impediment, or one involving spatial +distances too great and too impeded for normal physical vision to be +effective. + +That clairvoyance which consists in the ability to perceive not +alone the superficies of things as ordinary vision perceives them, +but their interiors as well, is analogous to the power given by the +X-ray, by means of which, on a fluorescent screen, a man may behold +the beating of his own heart. But, if the reports of trained +clairvoyants are to be believed, there is this difference: +everything appears to them without the distortions due to perspective, +objects being seen as though they were inside and not outside of the +perceiving organ, or as though the observer were in the object +perceived; or in all places at the same time. + +Our analogy makes all this intelligible. To the flat-man, +clairvoyance in space would consist in that power of perception +which we exercise in reference to his plane. From the third +dimension the boundaries of plane figures offer no impediment +to the view of their interiors, and they themselves in no way +impede our vision of surrounding objects. If we assume that +clairvoyance in space is the perception of the things of our world +from the region of the fourth dimension, the phenomena exactly +conform to the demands of our analogy. It is no more difficult +for a four-dimensional intelligence to understand the appearance +or disappearance of a body in a completely closed room, or the +withdrawal of an orange from its skin, without cutting or breaking +that skin, than it is for us to see the possibility of taking up a +pencil point from the center of a circle and putting it down outside. +We are under no compulsion to draw a line across the circumference +of the circle in order to enter or leave it. Moreover, the volume of +our sensible universe embraced in the clairvoyant's field of view +will increase in the same way that a balloonist's view increases in +area as he rises above the surface of the earth. To account for +clairvoyant vision at a distance, it is of course necessary to posit +some perceptive organ other than the eye, but the fact that in +trance the eyes are closed, itself demands this assumption. + + +CLAIRVOYANCE IN TIME + +_The perception of a past event as in process of occurring, or the +prevision of something which comes to pass later_. + +No mechanistic explanation will serve to account for this order of +clairvoyance since it is inextricably involved in the mystery of +consciousness itself. Yet our already overworked analogy can perhaps +cast a little light even here. + +To the flat-man, the third dimension of objects passing through his +plane translates itself to his experience into _time_. Were he +capable of rising in the positive direction of the third dimension, +he would have pre-vision, because he would be cognizant of that +which had not yet intersected his plane: by sinking in the negative +direction, he would have post-vision, because he could re-cognize +that which had already passed. + +Now there are excellent reasons, other than those based on analogy, +that the fourth-dimensional aspect of things may manifest itself to +our ordinary experience, not as spatial extension, but as temporal +change. Then, if we conceive of clairvoyance as a transcending by +consciousness of our three-dimensional space, prevision and +post-vision would be logically possible as corresponding to the +positive and negative of the fourth dimension. This may be made +clearer by the aid of a homely illustration. + + +PISGAH SIGHTS OF LIFE'S PAGEANT + +Suppose you are standing on a street corner, watching a procession +pass. You see the pageant as a sequence of objects and individuals +appearing into view near by and suddenly, and disappearing in the +same manner. This would represent our ordinary waking consciousness +of what goes on in the world round about. Now imagine that you walk +up the street in a direction opposite to that in which the +procession is moving. You then rapidly pass in review a portion of +the procession which had not yet arrived at the point you were a few +moments before. This would correspond to the seeing of something +before it "happened," and would represent the positive aspect of +clairvoyance in time--prevision. Were you to start from your +original position, and moving in the direction in which the +procession was passing, overtake it at some lower street corner, you +could witness the thing you had already seen. This would represent +post-vision--clairvoyance of the past. + +A higher type of clairvoyance would be represented by the sweep of +vision possible from a balloon. From that place of vantage the +procession would be seen, not as a sequence, but simultaneously, and +could be traced from its formation to its dispersal. Past, present +and future would be merged in one. + +It is true that this explanation raises more questions than it +answers: to account in this way for a marvel, a greater marvel must +be imagined--that of transport out of one's own "space." The whole +subject bristles with difficulties, not the least of which is that +even to conceive of such a thing as prevision all our old ideas +about time must be recast. This is being done in the Principle of +Relativity, a subject which may appropriately engage our attention +next. + + + + +V CURVED TIME + + +TIME FROM THE STANDPOINT OF EXPERIMENT AND OF CONSCIOUS EXPERIENCE + +In some moment of "sudden light" what one of us has not been able to +say, with Rossetti, + + "I have been here before, + But when or how I cannot tell." + +Are such strange hauntings of our House of Life due to the cyclic +return of time? Perhaps,--but what is time? + +Suppose some one should ask you, "What is an hour?" Your answer +might be, "It is the interval marked off by the clock-hand between 1 +and 2." "But what if your clock is running down or speeding up?" To +this you would probably reply, "The clock is set and corrected by +the earth, the sun and the stars, which are constant in their +movements." _But they are not_. The earth is known to be running slow, +by reason of tide friction, and this is likely to continue until it +will revolve on its axis, not once a day, but once a year, +presenting always the same face to the sun. + +We can only measure time by _uniform_ motion. Observe the vicious +circle. Uniform motion means the covering of equal spaces in equal +times. But how are we to determine our equal times? Ultimately we +have no other criterion save the uniform motion of the clock-hand or +the star dial. The very expressions, "uniform motion," "equal times," +beg the whole question of the nature of time. + +Let us then, in this predicament, consider time not from the +standpoint of experiment, but of conscious experience--what Bergson +calls "real duration." + +Every point along the line of memory, of conscious experience, has +been traced out by that unresting stylus we call "the present moment." +The question of its rate of motion we will not raise, as it is one +with which we have found ourselves impotent to deal. We believe on +the best of evidence that the conscious experience of others is +conditioned like our own. For better understanding let us have +recourse to a homely analogy: let us think of these more or less +parallel lines of individual experience in the semblance of the +strands of a skein of flax. Now if, _at the present moment_, this +skein were cut with a straight knife at right angles to its length, +the cut end would represent the _time plane_--that is, the present +moment of all--and it would be the same for all providing that the +time plane were flat _But is it really flat_? Isn't the straightness +of the knife a mere poverty of human imagination? Existence is always +richer and more dramatic than any diagram. + + "Line in nature is not found; + Unit and universe are round. + In vain produced, all rays return; + Evil will bless and ice will burn." + +Undoubtedly the flat time-plane represents with fair accuracy the +temporal conditions that obtain in the human aggregate in this world +under normal conditions of consciousness, but if we consider our +relation to intelligent beings upon distant worlds of the visible +universe the conditions might be widely different The time section +corresponding to what our straight knife made flat in the case of +the flax may be--nay, probably is--strongly curved. + + +RELATIVITY + +This crude analogy haltingly conveys what is meant by curved time. +It is an idea which is implicit in the Theory of Relativity. This +theory has profoundly modified many of our basic conceptions about +the universe in which we are immersed. It is outside the province of +this book and beyond the power of its author even so much as to +sketch the main outlines of this theory, but certain of its +conclusions are indispensable, since they baldly set forth our +dilemma in regard to the measurement of space and time. We can +measure neither except relatively, because they must be measured one +by the other, and no matter how they vary, these variations always +compensate one another, leaving us in the same state of ignorance +that we were in before. + +Suppose that two intelligent beings, one on Mars, let us say, and +the other on the earth, should attempt to establish _the same moment +of time_, by the interchange of light signals, or by any other +method which the most rigorous science could devise. Assume that +they have for this purpose two identically similar and mechanically +perfect chronometers, and that every difficulty of manipulation were +successfully overcome. Their experiment could end only in failure, +and the measure of this failure neither one, in his own place, could +possibly know. If, after the experiment, the Martian, chronometer in +hand, could be instantly and miraculously transported to the earth, +and the two settings compared, they would be found to be different: +how different, we do not know. + +The reason for the failure of any such experiment anywhere conducted +can best be made plain by a crude paraphrase of a classic +proposition from Relativity. Suppose it is required to determine the +same moment of time at two different places on the earth's surface, +as must be attempted in finding their difference in longitude. Take +the Observatory at Greenwich for one place, and the observatory at +Washington for the other. At the moment the sun is on the meridian +of Greenwich, the exact time of crossing is noted and cabled to +Washington. The chronometer at Washington is set accordingly, and +the time checked back to Greenwich. This message arrives two seconds, +say, after the original message was sent. Washington is at once +notified of this double transmission interval. On the assumption +that HALF of it represents the time the message took to travel from +east to west, and the other half the time from west to east again, +the Washington chronometer is set one second ahead of the signalled +time, to compensate for its part of the loss. When the sun has +reached the meridian of Washington, the whole process is repeated, +and again as before, half of the time the message has taken to cross +and recross the Atlantic is added to the Greenwich record of noon at +Washington. The number of hours, minutes, seconds, and fractions of +a second between these two corrected records represents the +difference in solar time between the two places, and incidentally +the same moment of time has been established for both--at least, so +it would appear. + +But is it established? That each message took an equal time to +travel each way is pure assumption, and happens to be a false one. +The accuracy of the result is vitiated by a condition of things to +which the Relativists have called attention. Our determination might +be defended if Washington and Greenwich could be assumed to remain +at rest during the experiments, and some argument might even be made +in its favor if we could secure any cosmic assurance that the +resultant motion of the earth should be the same when Greenwich +signalled its noon to Washington and Washington its noon to Greenwich. + +Our present discussion is merely illustrative, or diagrammatic; so +we will neglect the velocity of the earth in its orbit round the sun, +some forty times greater than that of a cannon ball, and the more +uncertain and more vertiginous speed of the whole solar system +towards its unknown goal. Let us consider only the rotation of the +earth on its axis, the tide-speed of day and night. To fix our idea, +this may be taken, in our latitudes, at eighteen thousand miles per +day, or perhaps half the speed of a Mauser rifle bullet. + +So fast, then, will Washington have been moving to meet the message +from Greenwich. So fast will Greenwich have been retreating from +Washington's message. + +Now the ultimate effect of motion on the time-determination cannot +be calculated along any such simple lines as these. Indeed, it +cannot be exactly calculated at all, for we have not all the data. +But there is certainly _some_ effect. Suppose one rows four miles up +a river against a current of two miles per hour, at a rowing speed +of four miles per hour. This will take two hours, plainly. The +return trip with the river's gift of two miles per hour will +evidently require but forty minutes. _Two hours and forty minutes_ +for the round trip, then, of eight miles. + +Now then, to row eight miles in still water, according to our +supposition, would have required but _two hours_. But, some one +objects, the current must help the return trip as much as it +hindered the outgoing! Ah, here is the snare that catches +rough-and-ready common sense! How long would the double journey have +taken _if the river current had been faster than our rowing speed_? +How shall we schedule our trip if we cannot learn the correct speed, +_or if it varies from minute to minute_? + +These explanations are necessarily symbolistic rather than +demonstrative, but any one who will seriously follow out these lines +of thought, or, still better, study the attitude of the hard-headed +modern physicist towards our classical geometry and mechanics, +cannot fail to realize how conventional, artificial--even +phantasmal--are the limitations set by the primitive idea of flat +space and straight time. + +The inferences which we may draw from our hypothetical experiment +are plain. The settings of the two chronometers would be defective, +they would not show the same time, but each of them would mark the +_local_ time, proper to its own place. There would be no means of +detecting the amount of error, since the messages were transmitted +by a medium involved with them in their transportation. If only +local time can be established, the possibility of a warped +time-plane--the curvature of time--is directly opened up. Doubtless +it is true that on so relatively minute a scale as is offered by the +earth, any deviation from perfect flatness of the time-plane would +be so inconsiderable and imperceptible as to make it scientifically +negligible; but this by no means follows when we consider our +relation to other worlds and other systems. + +A similar condition holds with regard to space-distortion. The +Theory of Relativity enforces the conclusion that from the +standpoint of our conventions in regard to these matters, all bodies +involved in transportation undergo a contraction in the direction of +that transportation, while their dimensions perpendicular to the +transportation remain invariable. This contraction is the same for +all bodies. For bodies of low velocity, like the earth, this +distortion would be almost immeasurably slight; but great or little, +no measuring instruments on the body transporting would ever +disclose it, for a measure would undergo the same contraction as the +thing measured. + + +THE SPOON-MAN + +These concepts that space and time are not as immutable as they +appear: that our universe may suffer distortion, that time may lag +or hasten without our being in the least aware, may be made +interestingly clear by an illustration first suggested by Helmholtz, +of which the following is in the nature of a paraphrase. + +If you look at your own image in the shining surface of a teapot, or +the back of a silver spoon, all things therein appear grotesquely +distorted, and all distances strangely altered. But if you choose to +make the bizarre supposition that this spoon-world is real, and your +image--the spoon-man--a thinking and speaking being, certain +interesting facts could be developed by a discussion between +yourself and him. + +You say, "Your world is a distorted transcript of the one in which I +live." + +"Prove it to me," says the spoon-man. + +With a foot-rule you proceed to make measurements to show the +rectangularity of the room in which you are standing. Simultaneously +he makes measurements giving the same numerical results; for his +foot-rule shrinks and curves in the exact proportion to give the +true number of feet when he measures his shrunken and distorted rear +wall. No measurement you can apply will prove you in the right, nor +him in the wrong. Indeed he is likely to retort upon you that it is +your room which is distorted, for he can show that in spite of all +its nightmare aspects his world is governed by the same orderly +geometry that governs yours. + +The above illustration deals purely with space relations, for such +relations are easily grasped; but certain distortions in time +relations are no less absolutely imperceptible and unprovable. So +far from having any advantage over the spoon-man, our plight is his. +The Principle of Relativity discovers us in the predicament of the +Mikado's "prisoner pent," condemned to play with crooked cues and +elliptical billiard balls, and of the opium victim, for whom +"space swells" and time moves sometimes swift and sometimes slow. + + +THE ORBITAL MOVEMENT OF TIME + +Now if our space is curved in higher space, since such curvature is +at present undetectable by us, we must assume, as Hinton chose to +assume, that it curves in the minute, or, as some astronomers assume, +that its curve is vast. These assumptions are not mutually exclusive: +they are quite in analogy with the general curvature of the earth's +surface which is in no wise interfered with by the lesser curvatures +represented by mountains and valleys. It is easiest to think of our +space as completely curved in higher space in analogy with the +surface of a sphere. + +Similarly, if time is curved, the idea of the cyclic return of time +naturally (though not inevitably) follows, and the division of the +greater cycles into lesser loops; for it is easier to assign this +elliptical movement to time than any other, by reason of the orbital +movements of the planets and their satellites. What results from +conceptions of this order? Amazing things! If our space is curved in +higher space, you may be looking toward the back of your own head. +If time flows in cycles, in travelling toward to-morrow you may be +facing yesterday. + +This "eternal return," so far from being a new idea, is so old that +it has been forgotten. Its reappearance in novel guise, along with +so many other recrudescences, itself beautifully illustrates time +curvature in consciousness. _Yugas_, time cycles, are an integral +and inexpugnable part of Oriental metaphysics. "Since the soul +perpetually runs," says Zoroaster, "in a certain space of time it +passes through all things, which circulation being accomplished, it +is compelled to run back again through all things, and unfold the +same web of generation in the world." Time curvature is implicit in +the Greek idea of the iron, bronze, silver, and golden ages, +succeeding each other in the same order: the winter, seed-time, +summer and harvest of the larger year. Astrology, seership, prophecy, +become plausible on the higher-time hypothesis. From this point of +view history becomes less puzzling and paradoxical. What were the +Middle Ages but a forgetting of Greek and Roman civilization, and +what was the Renaissance but a remembering of them--a striving to +re-create the ruined stage-settings and to re-enact the urbane play +of Pagan life. The spirit of the Crusades is now again animate +throughout Europe. Nations are uniting in a Holy War against the +Infidel _de nos jours_. + +But it is in the individual consciousness that time curvature +receives its most striking confirmation--those lesser returns and +rhythms to which we give the name of periodicity. Before considering +these, however, a fundamental fallacy of the modern mind must be +exposed. + + +MATERIALITY THE MIRROR OF CONSCIOUSNESS + +Our vicious habit of seeking the explanation of everything--even +thought and emotion--in materiality, has betrayed us into the error +of attributing to organic and environic changes the very power by +which they are produced. We are wont to think of feeling, the form +in which Being manifests to consciousness, as an effect instead of +as a cause. When Sweet Sixteen becomes suddenly and mysteriously +interesting to the growing boy, it is not because sex has awakened +in his body, but because the dread time has come for him to +contemplate the Idea of Woman in his soul. If you are sleepy, it is +not because the blood has begun to flow away from your brain, but +because your body has begun to bore you. Night has brought back the +Idea of Freedom, and consciousness chloroforms the thing that +clutches it. If you are ill, you grow cold or your temperature rises: +it is the signal by which you know that your consciousness is +turning toward the Idea of Pain. + +Just as a savage looks for a man behind a mirror, we foolishly seek +in materiality for that which is not there. The soul determines +circumstance: the soul contains the event which shall befall. The +organic and environic rearrangements incident to obscure rotations +in higher space are like the changes a mirror-image undergoes as an +object draws near and then recedes from its plane. This is only a +figure of speech, but it is susceptible of almost literal application. +Ideas, emerging from the subconscious, appproach, intersect, recede +from, and re-approach the stream of conscious experience; taking the +forms of aversions and desires, they register themselves in action, +and by reason of time curvature, everything that occurs, recurs. + + +PERIODICITY + +We recognize and accept this cyclic return of time in such familiar +manifestations of it as Nature affords in _periodicity_. We recognize +it also in our mental and emotional life, when the periods can be +co-ordinated with known physical phenomena, as in the case of the +wanderlust which comes in the mild melancholy of autumn, the moods that +go with waning day, and winter night. It is only when these recurrences +do not submit themselves to our puny powers of analysis and measurement +that we are incredulous of a larger aspect of the law of time-return. +Sleep for example, is not less mysterious than death which, too, +may be but "a sleep and a forgetting." The reason that sleep fails to +terrify us as death does is because experience has taught that +_memory leafs the chasm_. Why should death bedreaded any more than +bedtime? Because we fear that we shall forget. But do we really forget? +As Pierre Janet so tersely puts it, "Whatever has gone into the mind +may come out of the mind," and in a subsequent chapter this aphorism +will be shown to have extension in a direction of which the author of +it appears not to have been aware. Memory links night to night and +winter to winter, but such things as "the night-time of the spirit" +and "the winter of our discontent" are not recognized as having either +cause or consequence. Now though the well-springs of these states of +consciousness remain obscure, there is nothing unreasonable in +believing that they are recrudescences of far-off, forgotten moods +and moments; neither is it absurd to suppose that they may be related +to the movements and positions of the planets, as night and winter +are related to the axial and orbital movements of the earth. + +But there are other, and even more interesting, evidences of time +curvature in consciousness. These lead away into new regions which +it is our pleasure now to explore. + + + + +VI SLEEP AND DREAMS + + +SLEEP + +Our space is called three-dimensional because it takes three +numbers--measurement in three mutually perpendicular directions--to +determine and mark out any particular point from the totality of +points. Time, as the individual experiences it, is called +one-dimensional for an analogous reason: one number is all that is +required to determine and mark out any particular event of a series +from all the rest. Now in order to establish a position in a space of +four dimensions it would be necessary to measure in _four_ mutually +perpendicular directions. Time curvature opens up the possibility of +a corresponding higher development in time: one whereby time would +be more fittingly symbolized by a plane than by a linear figure. +Indeed, the familiar mystery of memory calls for such a conception. +Memory is a carrying forward of the past into the present, and the +fact that we can recall a past event without mentally rehearsing +all the intermediate happenings in inverse order, shows that in +the time aspect of memory there is simultaneity as well as +sequence--time ceases to be linear and becomes _plane_. More +remarkable illustrations of the sublimation of the time-sense are +to be found in the phenomena of sleep and dreams. + +"Oh, thou that sleepest, what is sleep?" asks the curious Leonardo. +Modern psychological science has little to offer of a positive +nature in answer to this world-old question, but it has at least +effectively disposed of the absurd theories of the materialists who +would have us believe that sleep is a mere matter of blood +circulation or of intoxication by accumulation of waste products in +the system. Sleep states are not abnormal, but part and parcel of +the life existence of the individual. When a person is asleep he has +only become unresponsive to the mass of stimuli of the external +world which constitutes his environment. As Sidis says, "When our +interest in external existence fags and fades away, we go to sleep. +When our interests in the external world cease, we draw up the +bridges, so to say, interrupt all external communication as far as +possible, and become isolated in our own fortress and repair to our +own world of organic activity and inner dream life. Sleep is the +interruption of our intercourse with the external world: it is the +laying down of our arms in the struggle of life. Sleep is a truce +with the world." + +The twin concepts of higher space and curved time sanction a view of +sleep even bolder. Sleep is more than a longing of the body to be +free of the flame which consumes it: the flame itself aspires to be +free--that is to say, consciousness, tiring of its tool, the brain, +and of the world, its workshop, takes a turn into the plaisance of +the fourth dimension, where time and space are less rigid to resist +the fulfillment of desire. + + +DREAMS + +We find a confirmation of this view in dream phenomena. But however +good the evidence, we shall fail to make out a case unless dream +experiences are conceded to be as real as any other. The reluctance +we may have to make this concession comes first from the purely +subjective character of dreams, and secondly from their triviality +and irrationality--it is as though the muddy sediment of daytime +thought and feeling and that alone were there cast forth. In answer +to the first objection, advanced psychology affirms that the +subconscious mind, from which dreams arise, approaches more nearly +to the omniscience of true being than the rational mind of waking +experience. The triviality and irrationality of dreams are +sufficiently accounted for if the dream state is thought of as the +meeting place of two conditions of consciousness: the foam and +flotsam "of perilous seas in faery lands forlorn," whose vastitude, +whose hidden life, and rich argosies of experience, can only be +inferred from the fret of the tide on their nether shore--the tired +brain in sleep. + +For it is the _remembered_ dream alone that is incoherent--the dream +that comes clothed in the rags and trappings of this work-a-day world, +and so leaves some recoverable record on the brain. We all feel that +the dreams we cannot remember are the most wonderful. Who has not +wakened with the sense of some incommunicable experience of terror or +felicity, too strange and poignant to submit itself to concrete +symbolization, and so is groped for by the memory in vain? We know +that dreams grow more ordered and significant as they recede from +the surface of consciousness to its depths. Deep sleep dreams are in +the true sense clairvoyant, though for the most part irrecoverable-- +"Canst thou draw out Leviathan with an hook?" DuPrel and others have +shown that the difference between ordinary dreaming, somnambulance, +trance and ecstasy, is only a matter of redistribution of +thresholds--that they are all related states and merge into one +another. We have, therefore, every right to believe that for a +certain number of hours out of the twenty-four we are all sybils and +seers, however little most of us are able to profit by it. +Infrequently, in moments of peculiar susceptibility, the veil is +lifted, but the art of _dreaming true_ remains for the most part +unmastered--one of the precious gifts which the future holds in store +for the sons and daughters of men. + +The partial waking state is the soil in which remembered dreams +develop most luxuriously. Paradoxical as it may sound, they are the +product, not of our sleep, but of our waking. Such dreams belong to +both worlds, partly to the three-dimensional and partly to the +four-dimensional. While dreams are often only a hodge-podge of +daytime experiences, their incredible rapidity, alien to that +experience, gives us our first faint practicable intimation of a +higher development of time. + + +TIME IN DREAMS + +The unthinkable velocity of time in dreams may be inferred from +the fact that between the moment of impact of an impression +at the sense-periphery and its reception at the center of +consciousness--moments so closely compacted that we think of them as +simultaneous--a coherent series of representations may take place, +involving what seem to be protracted periods for their unfoldment. +Every reader will easily call to mind dream experiences of this +character, in which the long-delayed denouement was suggested and +prepared for by some extraneous sense-impression, showing that the +entire dream drama unfolded within the time it took that impression +to travel from the skin to the brain. + +Hasheesh dreams, because they so often occur during some momentary +lapse from normal consciousness and are therefore measurable by its +time scale, are particularly rich in the evidence of the looping of +time. Fitzhugh Ludlow narrates, in _The Hasheesh Eater_, the dreams +that visited him in the brief interval between two of twenty or more +awakenings, on his walk homeward after his first experience with the +drug. He says, "I existed by turns in different places and various +states of being. Now I swept my gondola through the moonlit lagoons +of Venice. Now Alp on Alp towered above my view, and the glory of +the coming sun flashed purple light upon the topmost icy pinnacle. +Now in the primeval silence of some unexplored tropical forest I +spread my feathery leaves, a giant fern, and swayed and nodded in +the spice-gales over a river whose waves at once sent up clouds of +music and perfume. My soul changes to a vegetable essence, thrilled +with a strange and unimagined ecstasy." + +Earlier in the same evening, when he was forced to keep awake in +order not to betray his condition, the dream time-scale appears to +have imposed itself upon his waking consciousness with the following +curious effect. A lady asked him some question connected with a +previous conversation. He says, "As mechanically as an automaton I +began to reply. As I heard once more the alien and unreal tones of +my own voice, I became convinced that it was some one else who spoke, +and in another world. I sat and listened: still the voice kept +speaking. Now for the first time I experienced that vast change which +hasheesh makes in all measurements of time. The first word of the +reply occupied a period sufficient for the action of a drama; the +last left me in complete ignorance of any point far enough back in +the past to date the commencement of the sentence. Its enunciation +might have occupied years. I was not in the same life which had held +me when I heard it begun." + +This well-known fact, that we cannot measure dreams by our time scale, +proves that subjective time does not correspond with objective, and +that the "dream organ" of consciousness has a time scale of its own. +If in our waking state we experience one kind of time, and in +dreams quite another, the solution of the mystery should be sought +in the _vehicle_ of consciousness, for clearly the limit of +impressionability or power of response of the vehicle establishes +the time scale, just as the size of the body with relation to +objects establishes the space scale. Time must be different for the +ant and the elephant, for example, as space is different. + +Our sense of time is wholly dependent upon the rapidity with which +impressions succeed one another. Were we capable of receiving only +one impression an hour, like a bell struck every hour with a hammer, +the ordinary term of life would seem very short. On the other hand, +if our time sense were always as acute as it is in dreams, uncounted +aeons would seem to be lived through in the interval between +childhood and old age. + +Imagine a music machine so cunningly constructed and adjusted as not +only to sound each note and chord in its proper sequence and relation, +but to regulate also the duration of the sound vibration. If this +machine were operated in such a manner as to play, in a single +second of time, the entire overture of an opera which would normally +occupy half an hour, we should hear only an unintelligible noise a +second long. This would be due to no defect in the _sound-producing_ +mechanism, but to the limitations of the _sound-receiving_ mechanism, +our auditory apparatus. Could this be altered to conform to the +unusual conditions--could it capture and convey to consciousness +every note of the overture in a second of time--that second would +seem to last half an hour, provided that every other criterion for +the measurement of duration were denied for the time being. + +Now dreams _seem_ long: we only discover afterwards and by accident +their almost incredible brevity. May we not--must we not--infer from +this that the body is an organ of many stops and more than one +keyboard, and that in sleep it gives forth this richer music. The +theory of a higher-dimensional existence during sleep accounts in +part for the great longing for sleep. "What is it that is much +desired by man, but which they know not while possessing?" again +asks Leonardo. "It is sleep," is his answer. This longing for sleep +is more than a physical longing, and the refreshment it brings is +less of the flesh than of the spirit. It is possible to withstand +the deprivation of food and water longer and better than the +deprivation of sleep. Its recuperative power is correspondingly +greater. + +Experiments have been made with mature University students by which +they have been kept awake ninety-six hours. When the experiments +were finished, the young men were allowed to sleep themselves out, +until they felt they were thoroughly rested. All awoke from a long +sleep completely refreshed, but the one who took longest to restore +himself from his protracted vigil slept only one-third more time +than was regular with him. And this has been the experience over and +over again of men in active life who have been obliged to keep awake +for long periods by the absolute necessities of the situation in +which they have been placed. + +In this fact there is surely another hint of the sublimation of the +time sense during sleep. While it would be an unwarrantable +assumption to suppose that the period of recuperation by sleep must +be as long, or nearly as long, as the period of deprivation, the +ratio between the two presents a discrepancy so great that it would +seem as though this might be due to an acceleration of the time +element of consciousness. + + +THE EASTERN TEACHING IN REGARD TO SLEEP AND DREAMS + +In this matter of the wonder, the mystery, the enchantment, of sleep +and dreams, the most modern psychology and the most ancient wisdom +meet on common ground. Eastern wisdom casts such a light upon the +problems of subjectivity that it should not be lightly dismissed. +For uncounted centuries Hindu-Aryan spiritual science has recognized, +not one plane or condition of consciousness, but three; waking, +dreaming, and deep sleep--the gross, the subtle and the pure. In the +waking state--that is, with the vehicle attuned to vibrate to +materiality--the individual self is as a captive in a citadel of +flesh, aware of only so much of the universal life as chances to +enact itself before the windows of his prison. In the dream state, +when the more violent vibrations of the body are stilled in sleep, +consciousness becomes active in its subtle (four-dimensional) vehicle, +and ranges free throughout the ampler spaces of this subtler world. +In deep sleep, consciousness reverts to its pure condition--the +individual self becomes the All-Self: the rainbow, no longer +prismatic by reason of its refraction in materiality, becomes the +pure white light; the melody of life resolves itself into the +primordial harmony; sequence becomes simultaneity, and Time, no +longer "besprent with seven-hued circumstance," is swallowed up in +duration. + +"_There are two paths for him, within and without, and they both +turn back in a day and a night.... After having subdued by sleep all +that belongs to the body, he, not asleep himself, looks down upon +the sleeping. Having assumed light, he goes again to his place, the +golden person, the lonely bird_" UPANISHADS. + + +SPACE IN DREAMS + +However preposterous may appear to us this notion that the waking +state, in which we feel ourselves most potent and alive, is really +one of inhibition--that the world is only a "shoal of time"--it is +curiously borne out by the baffling phenomena of dreams and is in +perfect accord with the Higher Space Hypothesis. The possibility of +shaking off the grip of sleep under appropriate circumstances, the +fact that we can watch in our sleep, and awake at the right moment, +that we can sleep and still watch and keep awake in regard to +special objects and particular persons--these things form +insuperable difficulties for all those plausible, and apparently +scientific, theories of sleep current in the West; but they fit +perfectly with the Eastern idea that "he, not asleep himself, looks +down upon the sleeping." And to the questions, "How, and from whence?" +in the light of our hypothesis we may answer, "By the curvature of +time, consciousness escapes into the fourth dimension." + +Myers shows that he was in need of just this clue in order to +account for some of the dream experiences recorded in _Human +Personality_, since he asks for "an intermediate conception of +space--something between space as we know it in the material world +and space as we imagine it to disappear in the ideal world." He +suggests that in dreams and trance there may be a clearer and more +complete perception of space than is at present possible to us. A +corresponding sublimation of the time sense is no less necessary to +account for time in dreams. Although we seem to triumph over space +and time to such a tune as to eliminate them, dream experiences have +both form and sequence. Now because form presupposes space, and time +is implicit in sequence, there arises the necessity for that +"intermediate conception" of both space and time provided by our +hypothesis. + + +THE PHENOMENON OF PAUSE + +Let us conceive of sleep less narrowly than we are accustomed to: +think of it only as one phase of the phenomenon of pause, of +arrested physical activity, universal throughout nature. The cell +itself experiences fatigue and goes to sleep--"perchance to dream," +Modern experimental science in the domain of physiology and +psychology proves that we see and do not see, hear and do not hear, +feel and do not feel, in successive instants. We are asleep, in +other words, not merely hour by hour, but moment by moment--and +perhaps age by age as well. + +Where is consciousness during these intervals, long or short, when +the senses fail to respond to the stimuli of the external world? It +is somewhere else, awake to some other environment. Though we may +not be able to verify this from our own experience, there are +methods whereby it can be verified. Clairvoyance is one of these, +hypnotism is another--that kind of hypnotism whereby an entranced +person is made to give a report of his excursions and adventures in +the mysterious House of Sleep. It is a well-known fact that these +experiences increase in intensity, coherence and in a certain sort +of omniscience, directly in proportion to the depth of the trance. +The revelations obtained in this way are sometimes amazing. The +inherent defect of this method of obtaining information is the +possibility of deception, and for that reason science still looks +askance at all evidence drawn from this source. But in essaying to +write a book about the fourth dimension from any aspect but the +mathematical, the author has put himself outside the pale of +orthodox science, so he is under no compulsion to ignore a field so +rich merely because it appears to be tainted by a certain amount of +fallibility and is even under suspicion of fraud. Diseased oysters, +though not edible, produce pearls, and a pearl of great price is the +object of this quest. Let us glance, therefore, at the findings of +hypnotism and kindred phenomena. + + + + +VII THE NIGHT SIDE OF CONSCIOUSNESS + + +THE FIELD OF PSYCHIC RESEARCH + +It is difficult to divest the words hypnotism and clairvoyance of +certain sordid and sinister associations. We are apt to think of +them only as urban flora of the dust and dark, cultivated for profit +by itinerant professors and untidy sibyls. Larger knowledge of the +night side of human nature, however, profoundly modifies this view. +The invoked image is then of some hushed and studious chamber where +a little group of people sit attentive to the voice of one +entranced--listeners at the keyhole of the door to another world. +This "news from nowhere," garnered under so-called test conditions +and faithfully recorded, has grown by now to a considerable +literature, accessible to all--one with which every well-informed +person is assumed to have at least a passing acquaintance. + +A marked and constant characteristic of trance phenomena consists of +an apparent confusion between past, present and future. As in the +game of three-card monte, it appears impossible to tell in what order +the three will turn up--_was, is_ and _will be_, lose their special +significance. Clairvoyance, in its time aspect, whether spontaneous, +hypnotically induced, or self-induced, is susceptible of +classification as post-vision, present vision, and prevision. +Post-vision is that in which past events are not recollected merely, +but seen or experienced. It is the past become present. Present +vision is clairvoyance of things transpiring elsewhere; the present, +remote in space, but not in time. Prevision is the future in the +present. These various orders of _clear-seeing_ transcend the limits +of the actual knowledge and experience of the seer. This +classification and these definitions are important only to us, to +whom past, present, and future stand sharply differentiated in +thought and in experience; not to the clairvoyant, who, though bound +in body to our space and time, is consciously free in a world where +these discriminations vanish. Why do they vanish? This question can +best be answered by means of a homely analogy. + +For a symbol of the flow of time in waking consciousness, imagine +yourself in a railway carriage which jogs along a main-travelled +line at a rate predetermined by the time-table. You approach, reach +and pass such stations as are intersected by that particular railway, +and you get a view of the landscape which every other traveler shares. +Having once left a station, you cannot go back to it, nor can you +arrive at places further along the line before the train itself +takes you there. Compare this with the freedom to do either of these +things, and any number of others, if you suddenly change from the +train to an automobile. Then, in effect, you have the freedom of a +new dimension. In the one case, you must travel along a single line +at a uniform rate; in the other, you are able to strike out in any +direction and regulate your speed at will. You can go back to a +place after the train has left it; you can go forward to some place +ahead, before the train arrives, or you can strike out into, and +traverse, new country. In short, your freedom, temporal and spatial, +will be related to that of the train-bound traveler, somewhat as is +trance consciousness to everyday waking life. + + +MODIFYING THE PAST + +Modern psychology has demonstrated the existence of a great +undercurrent of mental and emotional life, transcending the +individual's conscious experience, in which the most complex +processes are carried on without the individual's conscious +participation. The clearest symbol by which this fact may be figured +to the imagination is the one already presented: the comparison of +the subjective field to a plane, in which the conscious experience +of the individual is represented by a single line. In sleep and +trance we have an augmented freedom of movement and so are able to +travel here and there, backward and forward, not only among our own +"disassociated memories" but in that greater and more mysterious +demesne which comprehends what we call the future, as well as the +present and the past. + +The profound significance of the disassociation and sublimation of +memory by hypnotism, or by whatever other means the train of +personal experience and recollection can be thrown off the track, +appears to have been ignored on its theoretical side--that is, as +establishing the return of time. It has cleverly been turned to +practical account, however, in the treatment of disease. By a series +of painstaking and brilliant experiments, the demonstration of the +role played by "disassociated memories" in causing certain +functional nervous and mental troubles has been achieved. It has +been shown that severe emotional shocks, frights, griefs, worries, +may be--and frequently are--completely effaced from conscious +recollection, while continuing to be vividly remembered in the +depths of the subconscious. It has been shown that thence they may, +and frequently do, exercise a baleful effect upon the whole organism, +giving rise to disease symptoms, the particular type of which were +determined by the victim's self-suggestion. As a preliminary to +effecting a permanent cure to such disorders, it is necessary to get +at these disassociated memories and drag them back into the full +light of conscious recollection. To get at them, medical +psychologists make use of hypnotism, automatic writing, +crystal-gazing--in short, of any method which will force an entrance +into that higher time-world, whereby the forgotten past may become +the present. This accomplished, and the crucial moment recovered and +transfixed, the victim of the aborted opportunity is led to deal +with it as one may deal with the fluid, and may not deal with the +fixed. Again his past is plastic to the operation of his +intelligence and his will. Here is glad news for mortals: the past +recoverable and in a manner revocable! + +Buddha taught that all sin is ignorance, and this teaching has +escaped oblivion because its truth has echoed in so many human hearts. +We find that it is possible to deal with our old ignorances in the +light of later knowledge. What is this but the self-forgiveness of +sins? Subconsciously we may be always at work, mending the past. +Repentance is the conscious recognition of some culmination of this +obscure process, when the heart is suffused with the inner gladness +of liberation from the payment of old karmic debts. Christ's words, +"Thy sins are forgiven," spoken to the woman who washed his feet +with her tears, sanctions this idea--that the past is remediable by +knowledge and by love. + +Conceding this much, we must equally admit the possibility of +moulding the future, of adjusting the will to the event which shall +befall. If the present moment can again intersect the stream of past +conscious experience, it may equally do so with regard to the future. +This brings up the tremendous questions of free-will and +fore-ordination. Upon these the Oriental doctrines of karma and +reincarnation cast the only light by which the reason consents to be +guided. As these doctrines are intimately related both to higher +time and to trance revelations, some consideration of karma and +reincarnation may appropriately find place here. + + +KARMA AND REINCARNATION + +Karma is that self-adjusting force in human affairs which restores +harmony disturbed by action. It is the moral law of compensation, +and by its operation produces all conditions of life, misery and +happiness, birth, death, and re-birth; itself being both the cause +and the effect of action. Its operation is indicated in the phrase, +"Whatsoever a man soweth, that shall he also reap." + +The essential idea of reincarnation is indicated in the following +quotation from the Upanishads: "And as a goldsmith, taking a piece +of gold, turns it into another, newer, and more beautiful shape, so +does this Self, having thrown off this body and dispelled all +ignorance, make unto himself another and more beautiful shape." + +Reincarnation is the periodic "dip" of an immortal individual into +materiality for the working out of karma, after an interval, long or +short, spent under other conditions of existence. These alternations +constitute the broader and deeper diapason of human life, of which +the change from waking to sleeping represents the lesser, and the +momentary awareness and unawareness of the sense mechanism to +stimulation, the least. + +Thus a physical incarnation, in the broadest sense of the term, is +the interval, long or short, of the immersion of consciousness in +materiality. Under fatigue, the cell life withdraws; that is, it +ceases to respond to physical stimuli, and so passes out of +incarnation. When this occurs _en masse_ there transpires that +hiatus of the personal consciousness called sleep, and while sleep +lasts the personality is out of incarnation. After death--in the +interval between one life and the next--the specific memories of the +personality fade out as in sleep, or rather, become latent, leaving +the soul, the permanent life-center, clear and colorless, a +mysterious focus of spiritual forces and affinities (the seeds of +karma) ready for another sowing in the world of men. This center +of consciousness is thereupon drawn to the newly forming body, +the life environment of which will rightly and justly--perhaps +retributively--bring the tendencies and characteristics of the +conscious center into objectivity again. Character is destiny, and +character is self-created. "All that we are is the result of what we +have thought." But in the vast complexity and volume of human life +there is a constant production of forms, with all the varieties of +characteristics and capacities requisite to meet the needs of every +soul, thirsty for the destiny that awaits it; and here heredity +plays its part. Beyond the individual soul is the world-soul, which +periodically incarnates in the humanity of a planet, and beyond the +worlds of a single system, suns and congeries of suns. + +The profound and pregnant doctrines of karma and reincarnation, here +so sketchily outlined, are but expansions of one of the fundamental +propositions of all Eastern philosophical systems, that the effect is +the unfolding of the cause in time. + +To omit a consideration of karma and reincarnation in connection +with higher time would be to force a passage and then not follow +where it leads. The idea of time curvature is implicit in the ideas +of karma and reincarnation. For what is karma but the return of time, +the flowering in the present of some seed sown elsewhere and long ago? +And what is reincarnation but the major cycle of that sweep into +objective existence and out again, of which the alternation between +waking and sleeping is the lesser counterpart? + + +COLONEL DE ROCHAS' EXPERIMENTS + +During the past few years evidence has been accumulating that we +never really forget anything. We have rediscovered the memory of the +subconscious mind. It is generally known that in the mesmeric or +somnambulistic sleep things hopelessly beyond recall for the +habitual mind come to the surface, in fragments, or in whole series, +as the case may be. It is perhaps news to some readers, however, +that the memory of past lives has been recovered in this way. This +but confirms the Eastern secret teaching that could we remember our +dream experiences we should recover the knowledge of our past +incarnations. + +Among the achievements of Eastern hypnotism is the recovery of the +memory of past births. Colonel de Rochas appears to have paralleled +this achievement in the West. Certain of his experiments have been +admirably reported by Maurice Maeterlinck in the eighth chapter of +_Our Eternity_. Maeterlinck's account, somewhat condensed, is +given here, because it so well illustrates the liberation of +consciousness from the tyranny of time as we conceive it. He says: + +"First of all, it is only right to say that Colonel de Rochas is a +savant who seeks nothing but objective truth and does so with a +scientific strictness and integrity that have never been questioned. +He puts certain exceptional subjects into a hypnotic sleep and, by +means of downward passes, makes them trace back the whole course of +their existence. He thus takes them successively to their youth, +their adolescence and down to the extreme limits of their childhood. +At each of these hypnotic stages, the subject reassumes the +consciousness, the character and the state of mind which he +possessed at the corresponding stage in his life. He goes over the +same events, with their joys and their sorrows. If he has been ill, +he once more passes through his illness, his convalescence and his +recovery. + +"Let us, to come to details, take one of the simplest cases. The +subject is a girl of eighteen, called Josephine. She lives at Voiron, +in the department of Isere. By means of downward passes she is +brought back to the condition of a baby at its mother's breast The +passes continue and the wonder-tale runs its course. Josephine can +no longer speak; and we have the great silence of infancy, which +seems to be followed by a silence more mysterious still. Josephine +no longer answers except by signs: _she is not yet born_. 'She is +floating in darkness.' They persist; the sleep becomes heavier; and +suddenly, from the depths of that sleep, rises the voice of another +being, a voice unexpected and unknown, the voice of a churlish, +distrustful and discontented old man. They question him. At first he +refuses to answer, saying that 'of course he's there, and he's +speaking;' that 'he sees nothing;' and 'he's in the dark.' They +increase the number of passes and gradually gain his confidence. His +name is Jean Claude Bourdon; he is an old man; he has long been +ailing and bedridden. He tells the story of his life. He was born at +Champvent, in the parish of Polliat, in 1812. He went to school +until he was eighteen and served his time in the army with the +Seventh Artillery at Besancon; and he describes his gay time there, +while the sleeping girl makes gestures of twirling an imaginary +moustache. When he goes back to his native place, he does not marry, +but he has a mistress. He leads a solitary life (I omit all but the +essential facts), and dies at the age of seventy, after a long +illness. + +"We now hear the dead man speak; and his posthumous revelations are +not sensational, which, however, is not an adequate reason for +doubting their genuineness. He feels himself growing out of his body; +but he remains attached to it for a fairly long time. His fluidic +body, which is at first diffused, takes a more concentrated form. He +lives in darkness, which he finds disagreeable; but he does not +suffer. At last, the night in which he is plunged is streaked with a +few flashes of light. The idea comes to reincarnate himself and he +draws near to her who is to be his mother (that is, the mother of +Josephine). He encircles her until the child is born, whereupon he +gradually enters the child's body. Until about the seventh year, his +body is surrounded by a sort of floating mist, in which he used to +see many things which he has not seen since. + +"The next thing to be done is to go back beyond Jean Claude. A +mesmerization lasting nearly three-quarters of an hour, without +lingering at any intermediate stage, brings the old man back to +babyhood. A fresh silence, a new limbo; and then, suddenly, another +voice and an unexpected individual. This time it is an old woman who +has been very wicked; and so she is in great torment (she is dead, +at the actual instant; for, in this inverted world, lives go +backward and of course begin at the end). She is in deep darkness, +surrounded by evil spirits. She speaks at first in a faint voice, +but always gives definite replies to the questions put to her, +instead of cavilling at every moment, as Jean Claude did. Her name +is Philomene Carteron. + +"'By intensifying the sleep,' adds Colonel de Rochas, whom I will +now quote, 'I induce the manifestations of a living Philomene. She +no longer suffers, seems very calm and always answers coldly and +distinctly. She knows that she is unpopular in the neighborhood, but +no one is a penny the worse and she will be even with them yet. She +was born in 1702; her maiden name was Philomene Cherpigny; her +grandfather on the mother's side was called Pierre Machon and lived +in Ozan. In 1732 she married, at Chevroux, a man named Carterton, by +whom she had two children, both of whom she lost.'" + +Before her incarnation, Philomene had been a little girl who died in +infancy. Previous to that, she was a man who committed murder, and +it was to expiate this crime that she endured such suffering in the +darkness, and after her life as a little girl, when she had no time +to do wrong. Colonel de Rochas did not think it wise to carry the +hypnosis further, because the subject appeared exhausted and her +paroxysms were painful to watch. He obtained analogous and even more +surprising results with other subjects. + +Maeterlinck's comments upon all this are of negligible value. He +pays a fine tribute to the theory of reincarnation. "There was never +a more beautiful, a juster, a purer, a more moral, fruitful and +probable creed," he says: yet for all that, it is clear that he has +not been at pains fully to inform himself of the Eastern teaching. + +Colonel de Rochas' success, and that of all other experimenters +along these lines, is due to their unconscious following of the +Eastern method. He himself says that he "avoided everything that +should put the subject on a definite tack,"--that is, he refrained +from voluntary suggestion. + +Having referred so frequently and so familiarly to the Eastern +belief in reincarnation, and hinted at a more solid foundation for +that belief than the single series of experiments above referred to, +it would be unfair to the reader not to gratify his curiosity more +fully in regard to these matters. In the light of our hypothesis +they take on an importance which justifies their further +consideration here. + + + + +VIII THE EASTERN TEACHING + + +ORIENTAL PHYSICS AND METAPHYSICS + +Western physical science, pursued with ardor and devotion for the +past hundred years, has attained to a control over physical phenomena +little short of magical, but in our understanding and mastery of +subjective phenomena we are far behind those Eastern peoples who +have made these matters the subject of study and experiment for +thousands of years. The informed Hindu, rightly or wrongly, regards +the Western practice of hypnotism, both in its methods and in its +results, with mingled horror and contempt. To him it is not +different from Black Magic, pernicious to operator and subject alike, +since it involves an unwarrantable tyranny of the will on the part +of the operator, and a dangerous submission to the obsession of an +invading will on the part of the subject. Eastern hypnotism--at its +highest and best--is profoundly different from Western, in that the +sanctity of the individual is respected. Its aim is not to enslave +the will, but temporarily to emancipate consciousness, under +favorable circumstances, from its physical limitation. + +Eastern practical psychology and metaphysics can be understood only +through a knowledge of Eastern physics. These we would call +transcendental, since they recognize not one theatre of consciousness, +but three: the gross, the subtle, and the pure. These correspond to +the material, the etherial, and the empyreal worlds of Greek +philosophy, and to the physical, astral, and mental planes of modern +Theosophy. They may be thought of as universal substance in three +different octaves of vibration. Upon this, the trained will of man +is able to act directly, for the reason that--as claimed by +Balzac--it is a _living_ force. + +In Eastern hypnotism the gross vibrations of the physical vehicle +are inhibited by the will of the operator, putting the body of the +subject to sleep, whereat the consciousness, free in its subtle body, +awakens to a dimensionally higher world. The operator, by means of +questions, reaps such profit as he may by following the "true dreams" +of the entranced subject, scrupulously refraining from imposing his +own will further than is necessary to obtain the information which he +seeks. The higher power of Eastern hypnotism, totally unknown in the +West, consists of inhibiting the subtle vibrations of the astral +vehicle also, permitting the consciousness to revert to its +"pure" condition. In these deep states of trance the subject is able +to communicate knowledges shut away from the generality of +men--among them the knowledge of past births. + + +THE SELF-RECOVERED MEMORY OF PAST BIRTHS + +The strength of will necessary to accomplish this higher power of +hypnotism is achieved by arduous and long-continued exercises in +concentration, by the practice of a strict morality, and by +submission to a physical regimen which few Occidentals would care to +undergo. Severe as is this training, it is less so than that which +the true Yogi imposes upon himself, and its fruits are less. The +achievement to which he addresses himself is far beyond that of the +most accomplished hypnotist. The Yogi scorns all supernormal powers, +even while possessing them. The Yogi, as the word implies--it means +literally union--seeks to unite himself with his own higher self, the +eternal and immortal part of his own nature, and the achievement of +this brings with it the freedom of the three worlds at all times, +and in full consciousness. As this involves an inward turning of the +mind and will, and the withdrawal from the ordinary active life of +average humanity, he alone is witness of his own success. "The rest +is silence." + +The knowledge of past births which may be obtained by the +questionable and cumbersome method of hypnotism is one of the +wayside flowers which the Yogi may pluck, if he will, on his path +towards perfection. There are definite rules for the attainment of +this knowledge, and they conform so closely to Colonel de Rochas' +method--save for the fact that operator and subject are one and not +twain--that it will be interesting to give them here. The ensuing +passage is from the _Vishuddhi Marga_, or _Path of Purity_, a work +written some sixteen hundred years ago by the famous sage, +Buddhaghosha, whose name signifies the Voice of Buddha, the revealer +of Buddha's teachings. It is quoted in Charles Johnston's _The +Memory of Past Births_. + +"The devotee, then, who tries for the first time to call to mind +former states of existence, should choose a time after breakfast, +when he has returned from collecting alms, and is alone and plunged +in meditation, and has been absorbed in the four trances in +succession. On rising from the fourth trance, which leads to the +higher powers, he should consider the event which last took place, +namely, his sitting down; next, the spreading of the mat; the +entering of the room; the putting away of bowl and robe; his eating; +his leaving the village; his going the rounds of the village for alms; +his entering the village for alms; his departure from the monastery; +his offering adoration in the courts of the shrine and of the Bodhi +tree; his washing the bowl; what he did between taking the bowl and +rinsing his mouth; what he did at dawn; what he did in the middle +watch of the night; what he did in the first watch of the night. +Thus he must consider what he did for a whole day and night, going +backwards over it in reverse order. + +"In the same reverse order he must consider what he did the day +before, the day before that, up to the fifth day, the tenth day, a +fortnight ago, a month ago, a year ago; and having in the same +manner considered the previous ten and twenty years, and so on up to +the time of his conception in this birth, he must then consider the +name and form which he had at the moment of death in his last birth. +But since the name and form of the last birth came quite to an end, +and were replaced by others, this point of time is like thick +darkness, and difficult to be made out by the mind of any person +still deluded. But even such a one should not despair nor say: 'I +shall never be able to penetrate beyond conception, or take as the +object of my thought the name and form which I had in my last birth, +at the moment of death,' but he should again and again enter the +trance which leads to the higher powers, and each time he rises from +the trance, he should again intend his mind upon that point of time. + +"Just as a strong man in cutting down a mighty tree to be used as +the peaked roof of a pagoda, if the edge of his axe be turned in +lopping off the branches and twigs, will not despair of cutting down +the tree, but will go to an iron-worker's shop, have his axe +sharpened, return, and go on with his cutting; and if the edge of +his axe be turned a second time, he will a second time have it +sharpened, and return, and go on with his cutting; and since nothing +that he chopped once needs to be chopped again, he will in no long +time, when there is nothing left to chop, fell that mighty tree. In +the same way the devotee rising from the trance which leads to the +higher powers, without considering what he has considered once, and +considering only the moment of conception, in no long time will +penetrate beyond the moment of conception, and take as his object +the name and form which he had at the moment of death, in his last +birth. + +"His alert attention having become possessed of this knowledge, he +can call to mind many former states of existence, as, one birth, two +births, three births, four births, five births, and so on, in the +words of the text." + +This quotation casts an interesting light upon Eastern monasticism. +The Buddhist monasteries are here revealed as schools of practical +psychology, the life of the monk a life of arduous and unceasing +labor, but labor of a sort which seems but idleness. The successive +"initiations" which are the milestones on the "Path of Perfection" +upon which the devotee has set his feet represent successive +emancipations of consciousness gained through work and knowledge. +Their nature may best be understood by means of a fanciful analogy. + + +RELEASE + +If we assume that all life is conscious life, as much aware of its +environment as the freedom of movement of its life vehicle in that +environment permits, a corpuscle vibrating in a solid would have a +certain sense of space and of movement in space gained from its own +experience. Now imagine the solid, which is its world, to be +subjected to the influence of heat. When the temperature reached a +certain point the solid would transform itself into a liquid. To the +corpuscle all the old barriers would seem to be broken down; space +would be different, time would be different, and its world a +different place. Again, at another increase of temperature, when the +liquid became a gas, the corpuscle would experience a further +emancipation: it would possess a further freedom, with all the facts +of its universe to learn anew. + +Each of these successive crises would constitute for it an initiation, +and since the heat has acted upon it from within, causing an +expansion of its life vehicle, it would seem to itself to have +attained to these new freedoms through self-development. + +The parallel is now plain to the reader: the corpuscle is the Yogi, +bent on liberation: the heat which warms him is the Divine Love, +centered in his heart, his initiations are the successive +emancipations into higher and higher spaces, till he attains +Nirvana--inherits the kingdom prepared for him from the foundation +of the world. As latent heat resides in the corpuscle, so is _Release_ +hidden in the heart--release from time and space. The perception of +this prompted the exultant apostrophe of Buddha, "Looking for the +maker of this tabernacle, I have run through a course of many births, +not finding him; and painful is birth again and again. But now, +maker of the tabernacle, thou hast been seen; thou shalt not make up +this tabernacle again. All thy rafters are broken, thy ridge-pole is +sundered; the mind, approaching the Eternal, has attained the +extinction of all desires." + +Upon the mystery of Nirvana the Higher Space Hypothesis casts not a +little light. To "approach the Eternal" can only be to approach a +condition where time is not. Because there is an escape from time in +proportion as space dimensions are added to, and assimilated by, +consciousness, any development involving this element of space +conquest (and evolution is itself such a development) involves time +annihilation also. To be in a state of desire is to be conditioned +by a limitation, because one can desire only that which one has not +or is not. The extinction of a desire is only another name for the +transcending of a limitation--of all desires, of all limitations. If +these limitations are of space they are of time also; therefore is +the "approach to the Eternal" through the "extinction of all desire." +Christ said, "Him that overcometh will I make a pillar of the temple +of my God, and he shall go no more out"--go out, that is, into +incarnation--into "time, besprent with seven-hued circumstance." + +Such are the testimonies of the world-saviors regarding the means +and end of liberation. Below them on the evolutionary ladder stand +the mystics, earth-bound, but soul-free; below them, in turn, yet +far above common humanity, stand the men of genius, caught still in +the net of passion, but able, in their work, to reflect something of +the glory of the supernal world. Let us consider, in the next two +chapters, each of these in turn. + + + + +IX THE MYSTICS + + +HERMES TRISMEGISTUS + +The mystic, however far removed he may be from Nietzsche's ideal of +the Superman, nevertheless represents superhumanity in the domain of +consciousness. By means of quotations, taken almost at random from +the rich literature of mysticism, the author will attempt to show +that the consciousness of the mystic involves the awareness of +dimensionally higher worlds. The first group of quotations is culled +from certain of the Sacred Books of Hermes Trismegistus. + +"_Comprehend clearly_" (says Hermes to Asclepios) "_that this +sensible world is enfolded, as in a garment, by the supernal world_." + +We think of our three dimensional space, "the sensible world," as +_immersed_ in higher space; "enfolded as in a garment," therefore. +And we think of the objects of our world as having extension in a +dimensionally higher region, that "supernal world" in which the +phenomena of this sensible world arise. For: + +"_Celestial order reigns over terrestrial order: all that is done +and said upon earth has its origin in the heights, from which all +essences are dispensed with measure and equilibrium: nor is there +anything which does not emanate from one above and return thither_" + + +THE PAGE AND THE PRESS + +The idea of an all-embracing unity within and behind the seeming +manifoldness of life forms the ground rhythm of all inspired +literature, sacred and profane alike. For clarity and conciseness it +would be difficult to improve upon the formulation of this idea +contained in the following fragment: + +"_In the manifold unity of universal life the innumerable +individualities distinguished by their variations are, nevertheless, +united in such a manner that the whole is one, and that everything +proceeds from unity_. + +"_For all things depend upon unity, or develop from it, and because +they appear distant from one another it is believed that they are +many, whereas in their collectivity they form but one_." + +Now nothing so successfully resolves this paradox of the one and the +many as the concept that the things of this world are embraced and +united in a dimensionally higher world in a manner analogous to that +in which all conic sections are embraced and united within the cone. +A more elaborate and fanciful figure may serve to make this clearer +to the mind. + +Conceive of this printed page as a plane world in which every letter +is a person; every word a family; phrases and sentences, larger +communities and groups. These "innumerable individualities, +distinguished by their variations" must needs seem to themselves as +"distant from one another," their very differences of form and +arrangement a barrier to any superior unity. Yet all the while, +solely by reason of this diversity, they are co-operating towards an +end of which they cannot be aware. The mind of the reader unites and +interprets the letters into continuous thought, though they be +voiceless as stones to one another. Even so may our sad and stony +identities spell out a world's word which we know not of, by reason +of our singularity and isolation. Moreover, in the electrotype block, +the solid of which the printed page constitutes a plane presentment, +all the letters are actually "united in such a manner that the whole +is one." The metal that has moulded each into its significant form +amalgamates them into a higher unity. So also the power that makes +us separate is the same power that makes us one. + + +THE SHIP AND ITS CAPTAIN + +Here follows the lament of the souls awaiting incarnation: + + "_Behold the sad future in store for us--to minister to the wants of + a fluctuating and dissoluble body! No more may our eyes distinguish + the souls divine! Hardly through these watery spheres shall we + perceive, with sighs, our ancestral heaven: at intervals even we + shall cease altogether to behold it. By this disastrous sentence + direct vision is denied to us; we can see only by the aid of the + outer light; these are but windows that we possess--not eyes. Nor + will our pain be less when we hear in the fraternal breathing of the + winds with which no longer can we mingle our own, since ours will + have for its dwelling, instead of the sublime and open world, the + narrow prison of the breast_!" + +That the soul--the so-called subliminal self--draws from a broader, +deeper experience than the purely rational consciousness is a +commonplace of modern psychology. Hinton conceives of the soul as +_higher-dimensional_ with relation to the body, but so concerned +with the management and direction of its lower-dimensional vehicle +as to have lost, for the time being, its orientation, thinking and +moving only in those ways of which the body is capable. The analogy +he uses, of a ship and its captain, is so happy, and the whole +passage has so direct a bearing upon the Hermetic fragment quoted, +that it is given here entire. + +"I adopt the hypothesis that that which thinks in us has an ample +experience, of which the intuitions we use in dealing with the world +of real objects are a part; of which experience, the intuition of +four-dimensional forms and motions is also a part. The process we +are engaged in intellectually is the reading of the obscure signals +of our nerves into a world of reality, by means of intuitions +derived from the inner experience. + +"The image I form is as follows: Imagine the captain of a modern +battleship directing its course. He has his charts before him; he is +in communication with his associates and subordinates; can convey his +messages and commands to every part of the ship, and receive +information from the conning tower and the engine room. Now suppose +the captain, immersed in the problem of the navigation of his ship +over the ocean, to have so absorbed himself in the problem of the +direction of the craft over the plane surface of the sea that he +forgets himself. All that occupies his attention is the kind of +movement that his ship makes. The operations by which that movement +is produced have sunk below the threshold of his consciousness; his +own actions, by which he pushes the buttons, gives the orders, are +so familiar as to be automatic; his mind is on the motion of the +ship as a whole. In such a case we can imagine that he identifies +himself with the ship; all that enters his conscious thought is the +direction of its movement over the plane surface of the ocean. + +"Such is the relation, as I imagine it, of the soul to the body. A +relation which we can imagine as existing momentarily in the case of +the captain is the normal one in the case of the soul with its craft. +As the captain is capable of a kind of movement, an amplitude of +motion, which does not enter into his thoughts with regard to the +directing of the ship over the plane surface of the ocean, so the +soul is capable of a kind of movement, has an amplitude of motion, +which is not used in its task of directing the body in the +three-dimensional region in which the body's activity lies. If for +any reason it becomes necessary for the captain to consider +three-dimensional motions with regard to his ship, it would not be +difficult for him to gain the materials for thinking about such +motions; all he has to do is to call experience into play. As far as +the navigation of the ship is concerned, however, he is not obliged +to call on such experience. The ship as a whole simply moves on a +surface. The problem of three-dimensional movement does not +ordinarily concern its steering. And thus with regard to ourselves +all those movements and activities which characterize our bodily +organs are three-dimensional; we never need to consider the ampler +movements. But we do more than use these movements of our body to +effect our aims by direct means; we have now come to the pass when +we act indirectly on nature, when we call processes into play which +lie beyond the reach of any explanation we can give by the kind of +thought which has been sufficient for the steering of our craft as a +whole. + +"When we come to the problem of what goes on in the minute and apply +ourselves to the mechanism of the minute, we find our habitual +conceptions inadequate. The captain in us must wake up to his own +intimate nature, realize those functions of movement which are his +own, and in the virtue of his knowledge of them apprehend how to +deal with the problems he has come to." + + _The Fourth Dimension_. + +How more accurately and eloquently could "the captain in us," +momentarily aroused, give voice to his predicament, than in the words, +"_Instead of the sublime and open world, the narrow prison of the +breast_." + + +DIRECT VISION + +The "watery spheres" in the Hermetic fragment are of course the eyes, +a mechanism inferior in many ways to the camera of man's own devising. +The phenomena of clairvoyance make known a mode of vision which is +confined to no specific sense organ, approximating much more closely +to true perception than does physical sight. Mr. C.W. Leadbeater in +_Clairvoyance_ specifically affirms that this higher power of +sight is four-dimensional. He says: "The idea of the fourth +dimension as expounded by Mr. Hinton is the only one which gives any +kind of explanation down here of astral vision ... which lays every +point in the interior of a solid body absolutely open to the gaze of +the seer, just as every point of the interior of a circle lies open +to the gaze of a man looking down upon it." "I can see all around and +every way," exclaims one of the psychometers reported in William +Denton's _The Soul of Things_. + +The "outer light" by which the physical eye is able to see objects +is sunlight. Upon this clairvoyant vision in no wise depends, +involving, as it does, other octaves of vibration. We should be able +to receive ideas of this order without incredulity since the advent +of "dark" photography and the ultra-violet microscope. By aid of the +latter, photographs are taken in absolute darkness, the lenses used +being transparent to light rays invisible to the eye, but active +photographically. + +The foregoing passages from _The Virgin of the World_ show a +remarkable resemblance between the Hermetic philosophy and modern +higher-space thought. The parallelism is not less striking in the +case of certain other mystic philosophers of the East. + + +PLATO'S SHADOW-WATCHERS + +"Parmenides," says Hinton, "and the Asiatic thinkers with whom he is +in close affinity, propound a theory of existence which is in close +accord with a conception of a possible relation between a higher and +a lower-dimensional space." He concludes, "Either one of two things +must be true, that four-dimensional conceptions give a wonderful +power of representing the thought of the East, or that the thinkers +of the East must have been looking at and regarding four-dimensional +existence." + +It would not be difficult to re-state, in terms of our hypothesis, +Plato's doctrine of an enduring archetypal world of ideas reflected +in a world of transitory images and appearances. Fortunately, Plato +has relieved the author of that necessity by doing it himself in his +wonderful allegory of the shadow-watchers in _The Republic_. The +trend of his argument is clear; as its shadow is to a solid object, +so is the object itself to its archetypal idea. This is the manner +in which he presents this thought: + +"Imagine a number of men living in an underground cavernous chamber, +with an entrance open to the light, extending along the entire +length of the cavern, in which they have been confined, from their +childhood, with their legs and neck so shackled, that they are +obliged to sit still and look straight forwards, because their +chains render it impossible for them to turn their heads round: and +imagine a bright fire burning some way off, above and behind them, +and an elevated roadway passing between the fire and the prisoners, +with a low wall built along it, like the screens which conjurors put +up in front of their audience, and above which they exhibit their +wonders." + + "I have it," he replied. + +"Also, figure to yourself a number of persons walking behind this +wall, and carrying with them statues of men, and images of other +animals, wrought in wood, stone, and all kinds of materials, together +with various other articles, which overtop the wall; and, as you +might expect, let some of the passers-by be talking, and others +silent" + +"You are describing a strange scene, and strange prisoners." + +"They resemble us," I replied. "For let me ask you, in the first +place, whether persons so confined could have seen anything of +themselves or of each other, beyond the shadows thrown by the fire +upon the part of the cavern facing them." + +"Certainly not, if you suppose them to have been compelled all their +lifetime to keep their heads unmoved." + +"And is not their knowledge of the things carried past them equally +limited?" + +"Unquestionably it is." + +"And if they were able to converse with one another, do you not +think that they would be in the habit of giving names to the objects +which they saw before them?" + +"Doubtless they would." + +"Again: if their prison house returned an echo from the part facing +them, whenever one of the passers-by opened his lips, to what, let +me ask you, could they refer the voice, if not to the shadow which +was passing?" + +"Unquestionably they would refer it to that." + +"Then surely such persons would hold the shadows of the manufactured +articles to be the only realities." + +"Without a doubt they would." + +Plato (in the person of Socrates) then considers what would happen +if the course of nature brought to the prisoners a release from +their fetters and a remedy for their foolishness, and concludes as +follows: + +"Now this imaginary case, my dear Glaucon, you must apply in all its +parts to our former statements, by comparing the region which the +eye reveals, to the prison-house, and the light of the fire therein +to the power of the sun; and if, by the upward ascent and the +contemplation of the upper world, you understand the mounting of the +soul in the intellectual region, you will hit the tendency of my own +surmises ... the view which I take of the subject is to the +following effect." + +Briefly, the view taken is that the "Form of Good" perceived by the +mind is the source of everything that is perceived by the senses. +This is equivalent to saying that the objects of our three-space +world are projections of higher-dimensional realities--that there is +a supernal world related to this world as a body is related to the +shadow which it casts. + + +SWEDENBORG + +Emerson, in his _Representative Men_, chose Swedenborg as the +representative mystic. He accepted Swedenborg's way of looking at +the world as universally characteristic of the mystical temperament. +The Higher Space Theory was unheard of in Swedenborg's day, +nevertheless in his religious writings--thick clouds shot with +lightning--the idea is implicit and sometimes even expressed, though +in a terminology all his own. + +To Swedenborg's vision, as to Plato's, this physical world is a +world of ultimates, in all things correspondent to the casual world, +which he names "heaven." "_It is to be observed_," he says, +"_that the natural world exists and subsists from the spiritual world, +just as an effect exists from its efficient cause_." + +According to Swedenborg, conditions in "heaven" are different from +those in the world: space is different: distance is different He says, +"_Space in heaven is not like space in the world, for space in the +world is fixed, and therefore measurable: but in heaven it is not +fixed and therefore cannot be measured_." + +Herein is suggested a _fluidic_ condition, singularly in accord with +certain modern conceptions in theoretical physics. Commenting upon +the significance of Lobatchewsky's and Bolyai's work along the lines +of non-Euclidian geometry, Hinton says, "By immersing the conception +of distance in matter, to which it properly belongs, it promises to +be of the greatest aid in analysis, for the effective distance of +any two particles is the result of complex material conditions, and +cannot be measured by hard and fast rules." + +The higher correlative of physical distance is a difference of state +or condition, according to the Norwegian seer. "_Those are far apart +who differ much_," he says "_and those are near who differ little_." +Distance in the spiritual world, he declares, originates solely +"_in the difference in the state of their minds, and in the heavenly +world, from the difference in the state of their loves_." This +immediately suggests the Oriental teaching that the place and human +environment into which a man is born have been determined by his own +thoughts, desires, and affections in anterior existences, and that +instant by instant all are determining their future births. The +reader to whom the idea of reincarnation is repellent or unfamiliar +may not be prepared to go this length, but he must at least grant +that in the span of a single lifetime thought and desire determine +action, and consequently, position in space. The ambitious man goes +from the village to the city; the lover of nature seeks the wilds; +the misanthrope avoids his fellowmen, the gregarious man gravitates +to crowds. We seek out those whom we love, we avoid those whom we +dislike; everywhere the forces of attraction and repulsion play +their part in determining the tangled orbits of our every-day lives. +In other words, the subjective, and (hypothetically) higher activity +in every man records itself in a world of three dimensions as action +upon an environment. Thought expresses itself in action, and so +flows outward into space. + +Observe how perfectly this fits in with Swedenborg's contention that +physical remoteness has for its higher correspondence a difference +of love and of interest; and physical juxtaposition, a similarity of +these. In heaven, he says, "Angels of similar character are as it +were spontaneously drawn together." So would it be on earth, but for +impediments inherent in our terrestrial space. Swedenborg's angels +are men freed from these limitations. We suffer because the free +thing in us is hampered by the restrictions of a space to which it +is not native. Reason sufficient for such restriction is apparent in +the success that crowns every effort at the annihilation of space, +and the augmentation of power and knowledge that such effort brings. +It would appear that a narrowing of interest and endeavor is always +the price of efficiency. The angel is confined to "the narrow prison +of the breast" that it may react upon matter just as an axe is +narrowed to an edge that it may cleave. + + +MAN THE SPACE-EATER + +Man has been called the thinking animal. _Space-eater_ would be a +more appropriate title, since he so dauntlessly and persistently +addresses himself to overcoming the limitations of his space. To +realize his success in this, compare, for example, the voyage of +Columbus' caravels with that of an ocean liner; or traveling by +stage coach with _train de luxe_. Consider the telephone, +the phonograph, the cinematograph, from the standpoint of +space-conquest--and wireless telegraphy which sends forth messages +in every direction, over sea and land. Most impressive of all are +the achievements in the domain of astronomy. One by one the sky has +yielded its amazing secrets, till the mind roams free among the stars. +The reason why there are to-day so many men braving death in the air +is because the conquest of the third dimension is the task to which +the Zeit-Geist has for the moment addressed itself, and these +intrepid aviators are its chosen instruments--sacrificial pawns in +the dimension-gaining game. + +All these things are only the outward and visible signs of the angel, +incarnate in a world of three dimensions, striving to realize higher +spatial, or heavenly, conditions. This spectacle, for example, of a +millionaire hurled across a continent in a special train to be +present at the bedside of a stricken dear one, may be interpreted as +the endeavor of an incarnate soul to achieve, with the aid of human +ingenuity applied to space annihilation, that which, discarnate, it +could compass without delay or effort. + + +THE WITHIN AND WITHOUT + +In Swedenborg's heaven "_all communicate by the extension of the +sphere which goes forth from the life_ _of every one. The sphere of +their life is the sphere of their affections of love and hate_." + +This is as fair a description of thought transference and its +necessary condition as could well be devised, for as in wireless +telegraphy, its mechanical counterpart, it depends upon synchronism +of vibration in a "sphere which goes forth from the life of every one." +Thought transference and kindred phenomena in which all categories +of space and time lose their significance baffle our understanding +because they appear to involve the idea of being in two places--in +many places--at once, a thing manifestly at variance with our own +conscious experience. It is as though the pen point should suddenly +become the sheet of paper. But strange as are these matters and +mysterious as are their method, no other hypothesis so well explains +them as that they are higher-dimensional experiences of the self. We +have the universal testimony of all mystics that the attainment of +mystical consciousness is by inward contemplation--turning the mind +back upon itself. Swedenborg says, "_It can in no case be said that +heaven is outside of any one, but it is within him for every angel +participates in the heaven around him by virtue of the heaven which +is within him_." Christ said, "_The Kingdom of Heaven is within you_," +and there is a saying attributed to Him to the effect that "_When +the outside becomes the inside, then the Kingdom of Heaven is come_." +These and such arcane sayings as "_Know Thyself_" engraved upon the +lintels of ancient temples of initiation, powerfully suggest the +possibility that by penetrating to the center of our individual +consciousness we expand outwardly into the cosmic consciousness as +though _in_ and _out_ were the positive and negative of a new +dimension. By exerting a force in the negative direction upon a +slender column of water in a hydraulic press, it is possible to +raise in the positive direction a vast bulk of water with which that +column, through the mechanism of the press, is connected. This is +because both columns, the little and the big, enclose one body of +fluid. The attainment of higher states of consciousness is potential +in every one, for the reason that the consciousness of a greater +being flows through each individual. + + +INTUITION AND REASON + +There is the utmost unanimity in the testimony of the mystics that +the world without and the world within are but different aspects of +the same reality--"_The eye with which I see God is the same eye with +which He sees me_." They never weary of the telling of the +solidarity and invisible continuity of life, the inclusion not only +of the minute in the vast, but of the vast in the minute. We may +accept this form of perception as characteristic of consciousness in +its free state. Its instrument is the _intuition_, which divines +relations between diverse things through a perception of unity. The +instrument of the purely mundane consciousness, on the other hand, +is the _reason_, which dissevers and dissects phenomena, divining +unity through correlation. Now if physical phenomena, in all their +manifoldness, are lower-dimensional projections, upon a +lower-dimensional space, of a higher unity, then reason and +intuition are seen to be two modes of one intelligence, engaged in +apprehending life from below (by means of the reason) through its +diversity, and from above (by means of intuition) through its unity. + +Those who recognize in the intuition a valid organ of knowledge, are +disposed to exalt it above the reason, but at our present state of +evolution, and given our environment, it would seem that the reason +is the more generally useful faculty of the two. In that unfolding, +that manifesting of the higher in the lower--which is the idea the +four-dimensionalist has of the world--the painstaking, minute, +methodical action of the reasoning mind applied to phenomena +achieves results impossible to Pisgah-sighted intuition. The power, +peculiar to the reason, of isolating part after part from the whole +to which it belongs, and considering them thus isolated, makes +possible in the end a synthesis in which the whole is not merely +glimpsed, but known to the last detail. + +The method of the reason is symbolized in so trifling a thing as the +dealing out one by one of a pack of cards and their reassembling. +The pack has been made to show forth its content by a process of +disruption--of slicing. Similarly, if a scientist wants to gain a +thorough comprehension of a complicated organism, he dissects it, or +submits it to a process of slicing, studying each slice separately +under the microscope while keeping constantly in mind the relation +of one slice to another. This amounts to nothing less than reducing +a thing from three dimensions to two, in order to know it thoroughly. +Now the flux of things corresponds to the four-dimensional aspect of +the world, and with this the reason finds it impossible to deal. As +Bergson has so well shown, the reason cuts life into countless +cross-sections: a thing must be dead before it can be dissected. +This is why the higher-dimensional aspect of life, divined by the +intuition, escapes rational analysis. + + +THE COIL OF LIFE + +Swedenborg's description of "the ascent and descent of forms" and +the "forces and powers" which flow therefrom, suggests, by reason of +the increasing amplitude and variety of form and motion, a +progression from space to space. This description is too long and +involved to find place here, but its conclusion is as follows: + +"_Such now is the ascent and descent of forms or substances in the +greatest, and in our least universe: similar also is the descent of +all forces and powers which flow from them. But all their perfection +consists in the possibility and virtue of varying themselves, or of +changing states, which possibility increases with their elevations, +so that in number it exceeds all the series of calculations unfolded +by human minds, and still inwardly involved by them: which +infinities finally become what is finite in the Supreme. Our ideas +are merely progressions by variations of form, and thus by actual +changes of state_." + +His sense of the beauty and orderliness of the whole process, and +his despair of communicating it, find characteristic utterance in +the following passage: + +"_If thou could'st discern, my beloved, how distinctly and +ordinately these forms are arranged and connected with each other, +from the mere aspect and infinity of so many wonderful things +connected with each other, from the mere aspect and infinity of so +many wonderful things conspiring into one, thou would'st fall down, +from an inmost impulse, with sacred astonishment, and at the same +time pious joy, to perform an act of worship and of love before such +an architect_." + +In his description of the manner in which these forms cohere and +successively unfold, he introduces one of the basic concepts of +higher space thought; namely, that in the "descent of forms" from +space to space, that which in the higher exists all together--that +is, _simultaneously_--can only manifest itself in the lower +piecemeal--that is, _successively_. He says: + +"_Nothing is together in any texture or effect which was not +successively introduced; and everything is therein, according as +order itself introduces it: wherefore simultaneous order derives its +birth, nature and perfection from successive orders, and the former +is only rendered perspicuous and plain by the latter.... What is +supreme in things successive takes the inmost place in things +simultaneous: thus things superior in order super-involve things +inferior and wrap them together, that these latter may become +exterior in the same order: by this method first principles, which +are also called simple, unfold themselves, and involve themselves in +things posterior or compound: wherefore every perfection of what is +outermost flows forth from inmost principles by their series: hence +thy beauty, my daughter, the only parent of which is order itself_." + +This passage, like a proffered dish full of rare fruit, tempts the +metaphysical appetite by the wealth and variety of its appeal; but +not to weary the reader, the author will content himself by the +abstraction of a single plum. The plum in question is simply this +(and the reader is asked to read the quotation carefully again): may +not every act, incident, circumstance in a human life be the +"uncoiling" of a karmic aggregate? This coil of life may be thought +of most conveniently in this connection as the _character_ of the +person, a character built up, or "successively introduced" in +antecedent lives. The sequence of events resultant on its "unwinding" +would be the destiny of the person--a destiny determined, necessarily, +by past action. This concept gives a new and more eloquent meaning +to the phrase "Character is destiny." If we carry our thought no +further, we are plunged into the slough of determinism--sheer +fatality. But in each reincarnation, however predetermined every act +and event, their reaction upon consciousness remains a matter of +determination--is therefore _self_-determined. We may not control +the event, but our acceptance of it we may control. Moreover, each +"unwinding" of the karmic coil takes place in a new environment, in a +world more highly organized by reason of the play upon it of the +collective consciousness of mankind. Though the same individual +again and again intersects the stream of mundane experience, it is an +evolving ego and an augmenting stream. Therefore each life of a +given series forms a different, a more intricate, and a more amazing +pattern: in each the thread is drawn from nearer the central energy, +which is divine, and so shows forth more of the coiled power within +the soul. + + + + +X GENIUS + + +IMMANENCE + +The greatest largess to the mind which higher thought brings is the +conviction of a transcendent existence. Though we do not know the +nature of this existence, except obscurely, we are assured of its +reality and of its immanence, through a growing sense that all that +happens to us is simply our relation to it. + +In our ant-like efforts to attain to some idea of the nature of this +transcendent reality, let us next avail ourselves of the help +afforded by the artist and the man of genius, too troubled by the +flesh for perfect clarity of vision, too troubled by the spirit not +to attempt to render or record the Pisgah-glimpses of the +world-order now and then vouchsafed. For the genius stands midway +between man and Beyond-man: in Nietzsche's phrase, "Man is a bridge +and not a goal." + +Of all the writers on the subject of genius, Schopenhauer is the +most illuminating, perhaps because he suffered from it so. According +to him, the essence of genius lies in the perfection and energy of +its _perceptions_. Schopenhauer says, "He who is endowed with talent +thinks more quickly and more correctly than others; but the genius +beholds another world from them all, although only because he has a +more profound perception of the world which lies before them also, +in that it presents itself in his mind more objectively, and +consequently in greater purity and distinctness." This profounder +perception arises from his detachment: his intellect has to a +certain extent freed itself from the service of his will, and leads +an independent life. So long as the intellect is in the service of +the will, that which has no relation to the will does not exist for +the intellect; but along with this partial severance of the two +there comes a new power of perception, synthetic in its nature, a +complex of relationships not reproducible in _linear_ thought, for +the mind is oriented simultaneously in _many_ different directions. +Of this order of perception the well-known case of Mozart is a +classic example. He is reported to have said of his manner of +composing, "I can see the whole of it in my mind at a single glance ... +in which way I do not hear it in my imagination at all as +succession--the way it comes later--but all at once, as it were. It +is a rare feast! all the inventing and making goes on in me as in a +beautiful strong dream." + + +TIMELESSNESS + +The inspirations of genius come from a failure of attention to life, +which, all paradoxically, brings vision--the power to see life +clearly and "see it whole." Consciousness, unconditioned by time, +"in a beautiful strong dream," awakens to the perception of a world +that is timeless. It brings thence some immortelle whose power of +survival establishes the authenticity of the inspiration. However +local and personal any masterpiece may be, it escapes by some potent +magic all geographical and temporal categories, and appears always +new-born from a sphere in which such categories do not exist. + +No writer was more of his period than Shakespeare, yet how +contemporary he seems to each succeeding generation. Leonardo, in a +perfect portrait, showed forth the face of a subtle, sensuous, and +mocking spirit, against a background of wild rocks. It represents +not alone the soul-phase of the later Renaissance, but of every +individual and of every civilization which on life's dangerous and +orgiastic substratum has reared a mere garden of delight. Living +hearts throb to the music penned by the dead hand of Mozart and of +Beethoven; the clownings of Aristophanes arouse laughter in our +music halls; Euripides is as subtle and world-weary as any modern; +the philosophies of Parminides and Heraclitus are recrudescent in that +of Bergson; and Plato discusses higher space under a different name. + + +BEYOND GOOD AND EVIL: BEAUTY + +The second characteristic of works of genius is their indifference +to all man-made moral standards. They are beyond all that goes by +the name of good and evil, in that the two are used indifferently +for the furtherance of a purely aesthetic end. The Beyond-man +discovers beauty in the abyss, and ugliness in mere worldly rectitude. +Leonardo painted the Medusa head, with its charnel pallor and its +crown of writhing snakes, no less lovingly than the sweet-tender +face of the Christ of the Cenacolo, and the beauty is not less, +though of an opposite sort. Shakespeare's most profound sayings and +most magical poetry are as often as not put in the mouths of his +villains and his clowns. To genius, pain is purgation; ugliness, +beauty in disturbance. It injects the acid of irony into success, +and distils the attar of felicity from failure. It teaches that the +blows of fate are aimed, not at us, but at our fetters; that death +is swallowed up in victory, that the Hound of Heaven is none other +than the Love of God. + +Though genius rebels at our moralities, it always submits itself to +beauty. Emerson says, "Goethe and Carlyle, and perhaps Novalis, have +an undisguised dislike or contempt for common virtue standing on +common principles. Meantime they are dear lovers, steadfast +maintainers of the pure, ideal morality. But they worship it as the +highest beauty, their love is artistic." And so it is throughout the +whole hierarchy of men of genius. "Beauty is Truth: Truth, Beauty," +is the motto which guides their far-faring feet, as they lead us +wheresoever they will. With Victor Hugo, we follow, undisgusted, +through the sewers of old Paris: his sense of beauty disinfects them +for us. With Balzac and Tolstoy we gaze unrevolted upon the +nethermost depths of human depravity, discerning moral beauty even +there; while with Virgil, Dante and Milton, we walk unscathed in +Hell itself. The _terribilita_ of Michaelangelo, the chaos and +anarchy of Shakespeare at his greatest, as in Lear--these find +expression in perfect rhythms, so potent that we recognize them as +proceeding from a supernal beauty, the beauty of that soul "from +which also cometh the life of man and of beast, and of the birds of +the air and of the fishes of the sea." + + +THE DAEMONIC + + "Unknown,--albeit lying near,-- + To men the path to the Daemon sphere." + +But to men of genius--"Minions of the Morning Star"--the path is not +unknown, and for this reason the daemonic element constantly shows +itself in their works and in their lives. Dante, Cellini, Goethe, +three men as unlike in the nature of their several gifts and in +their temperaments as could easily be named together, are drawn to a +common likeness through the daemonic gleam which plays and hovers +over them at times. With William Blake it was a flame that wrapped +him round. Today no one knows how Brunelleschi was able to construct +his great dome without centering, nor how Michaelangelo could limn +his terrible figures on the wet plaster of the Sistine vault with +such extraordinary swiftness and skill; but we have their testimony +that they invoked and received divine aid. Shakespeare, the +master-magician, is silent on this point of supernatural +assistance--as on all points--except as his plays speak for him; +but how eloquently they speak! "The Tempest" is made up of the +daemonic; the murky tragedy of "Macbeth" unfolds under the guidance +of incarnate forces of evil which drive the hero to his doom and +final deliverance in death: Hamlet sees and communes with the ghost +of his father; in short, the supernatural is as much a part of these +plays as salt is part of the ocean. If from any masterpiece we could +abstract everything not strictly rational--every element of wonder, +mystery, and enchantment--it would be like taking all of the unknown +quantities out of an equation: there would be nothing left to solve. +The mind of genius is a wireless station attuned to the vibrations +from the daemonic sphere; the works of genius fascinate and delight +us largely for this reason: we, too, respond to these vibrations and +are demonologists in our secret hearts. + +For the interest which we take in genius has its root in the +interest which we take in ourselves. Genius but utters experiences +common to us all, records perceptions of a world-order which we too +have glimpsed. Love, hope, pain, sorrow, disappointment, often +effect that momentary purgation which enables consciousness to +function independently of the tyrant will. These hours have for us a +noetic value--"some veil did fall"--revealing visions remembered +even unto the hour of death. + + +"DEATH" + +That "failure of attention to life" which begets inspiration in the +man of genius comes, indeed, daily to every one, but without his +being able to profit by it. For what is sleep but a failure of +attention to life--so complete a failure that memory brings back +nothing save that little caught in the net of dreams--yet even this +little is so charged with creative energy as to give rise to the +saying that every man is a genius in his dreams. + +Death also is a failure of attention to life, the greatest that we +know, and poorest therefore in plunder from supernatural realms. +Nevertheless reports of persons who have narrowly escaped death give +evidence at least that to those emancipated by death, life, viewed +from some higher region of space, is perceived as a unity. When a +man is brought face to face with death, the events of life pass +before the mind's eye in an instant, and he comes from such an +experience not only with deeper insight into himself, but into the +meaning and purpose of life also. The faces of the dead, those +parchments where are written the last testament of the departed +spirit, bear an expression of solemn peace, sometimes of joy, +sometimes of wonder: terror and agony are seldom written there, save +when the fatal change comes in some painful or unnatural way. + + +THE PLAY OF BRAHM + +Inspiration, dreams, visions at the moment of death--these things we +say are _irrational_, and so in a sense they are. Bergson has +compared the play of reason upon phenomena to the action of a +cinematograph machine which reproduces the effect of motion by +flashing upon the screen a correlated series of _fixed_ images. In +like manner the reason dissects the flux of life and presents it to +consciousness part by part, but never as a whole. In supernormal +states however we may assume that with the breakdown of some barrier +life flows in like a tidal wave, paralyzing the reason, and +therefore presenting itself in an irrational manner to consciousness. +Were reason equal to the strain put upon it under these circumstances, +in what light might the phantasmagoria of human life appear? Might +it not be perceived as a representation, merely, of a supernal world, +higher-dimensional in relation to our own? Just as a moving picture +shows us the round and living bodies of men and women as flat +images on a plane, enacting there some mimic drama, so on the +three-dimensional screen of the world men and women engaged in +unfolding the drama of personal life may be but the images of souls +enacting, on higher planes of being, the drama of their own salvation. +The reluctance of the American aborigine to be photographed is said +to have been due to his belief that something of his personality, +his human potency, went into the image, leaving him by so much the +poorer from that time forth. Suppose such indeed to be the case: +that the flat-man on the moving picture screen leads his little life +of thought and emotion, related to the mental and emotional life of +the living original as the body is related to its photographic +counterpart. In similar manner the potencies of the higher self, the +dweller in higher spaces, may flow into and express themselves in and +through us. We may be images in a world of images; our thoughts +shadows of archetypal ideas, our acts a shadow-play upon the +luminous screen of material existence, revealing there, however +imperfectly, the moods and movements of a higher self in a higher +space. + +The saying, "All the world's a stage," may be true in a sense +Shakespeare never intended. It formulates, in effect, the oldest of +all philosophical doctrines, that contained in the Upanishads of +Brahma, the Enjoyer, who takes the form of a mechanically perfect +universe in order to read his own law with eyes of his own creation. +"He thought: 'Shall I send forth worlds?' He sent forth these worlds." +To the question, "What worlds?" the Higher Space Hypothesis makes +answer, "Dimensional systems, from lowest to highest, each one a +_representation_ of the one next above, where it stands _dramatized_, +as it were. This is the play of Brahm; endlessly to dissever, in +time and space, and to unite in consciousness, like the geometrician +who discovers every ellipse, parabola, and hyperbola, in the cone +where all inhere." + +The particular act of the drama of unfolding consciousness upon +which the curtain is now upfurled is that wherein we discover the +world to be indeed a stage, a playground for forces masquerading as +forms: "they have their exits and their entrances," or, as expressed +in the Upanishads, "All that goes hence (dies on earth) heaven +consumes it all; and all that goes thence (returns from heaven to a +new life) the earth consumes it all." + + + + +XI THE GIFT OF FREEDOM + + +CONCEPT AND CONDUCT + +A surgeon once remarked to the author that among his professional +associates he had noticed an increasing awareness of the invisible. +This he claimed was manifest in the fact that the young men educated +since the rise of bacteriological science were more punctilious in +the matter of extreme personal cleanliness and the sterilization of +their instruments than the older and often more accomplished +surgeons whose habits in these matters had been formed before the +general sense of an _invisible_ menace had become acute. + +This anecdote well illustrates the unconscious reaction of new +concepts upon conduct. Preoccupation with the problems of space +hyper-dimensionality cannot fail to produce profound changes in our +ethical outlook upon life and in our attitude towards our fellow +beings. The nature of these changes it is not difficult to forecast. + +Although higher-space thought makes painfully clear our limitations, +it nevertheless leads to the perception that these very limitations +are inhibited powers. In this way it supplies us with a workable +method whereby we may enter that transcendental world of which we +glimpse so many vistas. This method consists in first becoming aware +of a limitation, and then in forcing ourselves to dramatize the +experience that would be ours if the limitation did not affect us. +We then discover in ourselves a power for transcending the limitation, +and presently we come to live in the new mode as easily as in the old. +Thought, conscious of its own limitations, leads to the New Freedom. +"Become what thou art!" is the maxim engraved upon the lintel of +this new Temple of Initiation. + + +SELFLESSNESS + +Higher-space speculation is an education in _selflessness_, for it +demands the elimination of what Hinton calls _self-elements_ of +observation. The diurnal motion of the sun is an example of a +self-element: it has nothing to do with the sun but everything to do +with the observer. The Ptolemaic system founded on this illusion +tyrannized over the human mind for centuries, but who knows of how +many other illusions we continue to be victims--for the worst of a +self-element is that its presence is never dreamed of until it is +done away with. The Theory of Relativity presents us with an effort +to get rid of the self-element in regard to space and time. A +self-centered man cannot do full justice to this theory: it requires +of the mind a certain detachment, and the idea becomes clear in +proportion as this detachment, this selflessness, is attained. + +So while it would be too much to claim that higher thought makes men +unselfish, it at least cracks the hard shell in which their +selfishness abides. If a man disciplines himself to abdicate his +personal point of view in thinking about the world he lives in, it +makes easier a similar attitude in relation to his fellow men. + + +HUMILITY + +One of the earliest effects of selfless thought is the exorcism of +all arrogance. The effort to dramatize the relation of an earthworm +to its environment makes us recognize that its predicament is our own, +different only in degree. We are exercising ourselves in humility +and meekness, but of a sort leading to a mastery that may well make +the meek the inheritors of the earth. Hinton was himself so meek a +man that his desire did not rise to the height of expecting or +looking for the beautiful or the good: he simply asked for something +to know. He despaired of knowing anything definitely and certainly +except arrangements in space. We have his testimony as to how +abundantly this hunger and thirst after that right knowledge which +is righteousness was gratified. "All I want to do," he says, +"is to make this humble beginning of knowledge and show how +inevitably, by devotion to it, it leads to marvellous and +far-distant truths, and how, by strange paths, it leads directly +into the presence of some of the highest conceptions which great +minds have given us." + +Here speaks the blessed man referred to by the psalmist, "Whose +delight is in the law of the Lord, and in His law doth he meditate +day and night." Abandoning a vain search after abstractions, and +applying his simple formula to life, Hinton found that it enabled +him to express the faith in his heart in terms conformable to reason; +that it led back to, and illumined the teachings of every spiritual +instructor and inspirer of mankind. + + +SOLIDARITY + +That we are all members of one body, branches of one vine, is a +matter of faith and of feeling; but with the first use of the weapon +of higher thought the paradox of the one and the many is capable of +so clear and simple a resolution that the sublime idea of human +solidarity is brought down from the nebulous heaven of the mystic to +the earth of every day life. To our ordinary space-thought, men are +isolated, distinct, each "an infinitely repellent particle," but we +conceive of space too narrowly. The broader view admits the idea +that men are related by reason of a superior union, that their +isolation is but an affair of limited consciousness. Applying this +concept to conduct, we come to discern a literal truth in the words +of the Master, "He who hath done it unto the least of these my +children, hath done it unto me," and "Where two or three are +gathered together in my name." If we conceive of each individual as a +"slice" or cross-section of a higher being, each fragment isolated +by an inhibition of consciousness which it is moment by moment +engaged in transcending, the sacrifice of the Logos takes on a new +meaning. This disseverance into millions of human beings is that +each may realize God in himself. Conceiving of humanity as God's +broken body, we are driven to make peace among its members, and by +realization we become the Children of God. + + +LIVE OPENLY + +"_Blessed are the meek," "Blessed are they that hunger and thirst +after righteousness." "Blessed are the peacemakers_." It would not +be impossible to trace a relation between higher space thought and +the other beatitudes also, but it will suffice simply to note the +fact that the central and essential teaching of the Sermon on the +Mount, "Let your light shine before men" is implicit in the +conviction of every one who thinks on higher space: he must _live +openly_. By continual dwelling upon the predicament of the flat-man, +naked, as it were, to observation from an eye which looks down upon +his plane, we come to realize our own exposure. In that large world +all that we think, or do, or imagine, lies open, palpable; there is +no such thing as secrecy. Imbued with this idea, we begin to live +openly because we must; but soon we come to do so because we desire +it. In making toward one another our limited lives open and manifest, +we treat each other in the service of truth as though we were all +members of that higher world. We imitate, in our world, our true +existence in a higher world, and so help to establish heavenly +conditions upon earth. + + +NON-RESISTANCE TO EVIL + +The problem of ugliness and evil would seem at first thought to be +totally unrelated to the subject of space hyperdimensionality, but +there is at least a symbolical relation. This was suggested to the +author by the endeavor of two friends whose interests were +pre-eminently mathematical to discover what certain four-dimensional +figures would look like in three-dimensional space. They found +that in a great number of cases these cross-sections, when +thus isolated, revealed little of the symmetry and beauty of their +higher-dimensional archetypes. It is clear that a beautiful form of +our world, traversing a plane, would show nothing of its beauty to +the planeman, who lacked the power of perceiving it entire; for the +sense of beauty is largely a matter of co-ordination. We give the +names of evil, chance, fate, ugliness, to those aspects of life and +of the world that we fail to perceive in their true relations, in +regard to which our power of correlation breaks down. Yet we often +find that in the light of fuller knowledge or subsequent experience, +the fortune which seemed evil was really good fortune in the making, +that the chance act or encounter was too momentous in its +consequences to be regarded as other than ordained. + +The self-element plays a large part in our idea of good and evil, +ugliness and beauty. "All things are as they seem to all." Desire of +her will make any woman beautiful, and fear will exercise an absolute +inhibition upon the aesthetic sense. As we recede in time from events, +they more and more emancipate themselves from the tyranny of our +personal prejudices and predilections, and we are able to perceive +them with greater clarity, more as they appear from the standpoint +of higher time and higher space. "Old, unhappy, far-off things, and +battles long ago" lose their poignancy of pain and take on the +poignancy of beauty. The memory of suffering endured is often the +last thing from which we would be parted, while humdrum happiness we +are quite willing to forget. Because we realize completely only in +retrospect, it may well be that the present exists chiefly for the +sake of the future. Then let the days come with veiled faces, accept +their gifts whose value we are so little able to appraise! There is +a profound and practical truth in Christ's saying, "Resist not evil." +Honor this truth by use, and welcome destiny in however sinister a +guise. + + +THE IMMANENT DIVINE + +In the fact of the limited nature of our space perceptions is found +a connecting link between materialism and idealism. For, passing +deeper and deeper in our observation of the material world, that +which we at first felt as real passes away to become but the outward +sign of a reality infinitely greater, of which our realities are +appearances only, and we become convinced of the existence of +_an immanent divine._ "In Him we live and move and have our being." +Our space is but a limitation of infinite "room to move about": +"_In my Father's house are many mansions_." Our time is but a +limitation of infinite duration: "_Before Abraham was, I am_." Our +sense of space is the consciousness that we abide in Him; our sense +of time is the consciousness that He abides in us. Both are modes of +apprehension of divinity--growing, expanding modes. In conceiving of +a space of more than three dimensions we prove that our relation to +God is not static, but dynamic. Christ said to the man who was sick +of the palsy, "Rise, take up thy bed and walk." The narrow concept +of three-dimensional space is a bed in which the human mind has lain +so long as to become at last inanimate. The divine voice calls to us +again to demonstrate that we are alive. Thinking in terms of the +higher we issue from the tomb of materialism into the sunlight of +that sane and life-giving idealism which is Christ's. + + + + + + + +End of Project Gutenberg's Four-Dimensional Vistas, by Claude Fayette Bragdon + +*** END OF THIS PROJECT GUTENBERG EBOOK FOUR-DIMENSIONAL VISTAS *** + +***** This file should be named 11906.txt or 11906.zip ***** +This and all associated files of various formats will be found in: + https://www.gutenberg.org/1/1/9/0/11906/ + +Produced by PG Distributed Proofreaders + +Updated editions will replace the previous one--the old editions +will be renamed. + +Creating the works from public domain print editions means that no +one owns a United States copyright in these works, so the Foundation +(and you!) can copy and distribute it in the United States without +permission and without paying copyright royalties. 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