“A sublime one. It’s a time-space machine. But I’d rather not discuss its precise function until I’ve shown you how it works. I want you to study its face as it waxes non-Euclidean. When you’ve glimpsed a fourth-dimensional figure you’ll be prepared to concede, I think, that the claims I make for it are not extravagant. I know of no more certain corrective for an excess of skepticism. I was the
“Watch now.” He reached forward, grasped a switch and with a swift downward movement of his right arm set the machine in motion. At first the small spheres and the crescents revolved quickly and the large spheres slowly; then the large spheres literally spun while the small spheres lazed and then both small spheres and large spheres moved in unison. Then the spheres stopped altogether, but only for an instant, while something of movement seemed to flow into them from the revolving crescents. Then the crescents stopped and the spheres moved, in varying tempo, faster and faster, and their movement seemed to flow back into the crescents. Then both crescents and spheres began to move in unison, faster and faster and faster, until the entire mass seemed to merge into a shape paradoxical, outrageous, unthinkable — a sphenoid with a non-Euclidean face, a geometric blasphemy that was at once isosceles and equilateral, convex and concave.
Algernon stared in horror. “What in God’s name is that?” he cried.
“You are looking on a fourth-dimensional figure,” said Little soothingly. “Steady now.”
For an instant nothing happened; then a light, greenish, blinding, shot from the center of the crazily distorted figure and streamed across the opposite wall, limning on the smooth cement a perfect circle.
But only for a second was the wall illumed. With an abrupt movement Little shot the lever upward and its radiance dimmed, and vanished. “Another moment, and that wall would have crumbled away,” he said.
With fascination Algernon watched the outrageous sphenoid grow indistinct, watched it blur and disappear amidst a resurgence of spheres.
“That light,” cried Little exultantly, “will send Chaugnar Faugn back through time. It will reverse its decadent
“But I don’t understand,” murmured Algernon. “What do you mean by
“I mean that this machine can work havoc with entropy!” There was a ring of exaltation in Little’s voice.
“Entropy?” Algernon scowled. “I’m not sure that I understand. I know what entropy is in thermodynamics, of course, but I’m not sure…”
“I’ll explain,” said Little. “You are of course familiar with the A B C’s of Einsteinian physics and are aware that time is relatively arrowless, that the sequence in which we view events in nature is not a cosmic actuality and that our conviction that we are going somewhere in time is a purely human illusion conditioned by our existence on this particular planet and the limitations which our five senses impose upon us. We divide time into past, present and future, but in reality an event’s sequence in time depends wholly on the position in space from which it is viewed. Events which occurred thousands of years ago on this planet haven’t as yet taken place to a hypothetical observer situated billions and billions of light years remote from us. Thus, cosmically speaking, we can not say of an event that it has happened and will never happen again or that it is about to happen and has never happened before, because “before” to us is “after” to intelligences situated elsewhere in space and time.
“But though our familiar time-divisions are purely arbitrary there is omnipresent in nature a principle called entropy which, as Eddington has pointed out, equips time with a kind of empirical arrow. The entire universe appears to be ‘running down.’ It is the consensus of astronomical opinion that suns and planets and electrons are constantly breaking up, becoming more and more disorganized. Billions of years ago some mysterious dynamic, which Sir James Jeans has likened to the Finger of God, streamed across primeval space and created the universe of stars in a state of almost perfect integration, welded them into a system so highly organized that there was only the tiniest manifestation of the random element anywhere in it. The random element in nature is the uncertain element — the principle which brings about disorganizations, disintegration, decay.
“Let us suppose that two mechanical men, robots, are tossing a small ball to and fro, to and fro. The process may go on indefinitely, for the mechanical creatures do not tire and there is nothing to make the ball swerve from its course. But now let us suppose that a bird in flight collides with the hall, sends it spinning so that it misses the hand of the receiving robot. What happens? Both robots begin to behave grotesquely. Missing the ball, their arms sweep through the empty air, making wider and wider curves and they stagger forward perhaps, and collapse in each other’s arms. The random, the uncertain element has entered their organized cosmos and they have ceased to function.
“This tendency of the complex to disintegrate, of the perfectly-balanced to run amuck, is called entropy. It is entropy that provides time with an arrow and, disrupting nebulae, plays midwife to the birth of planets from star- wombs incalculable. It is entropy that cools great orbs, hotter than Betelgeuse, more fiery than Arcturus through all the outer vastnesses, reducing them to sterility, to whirling motes of chaos.
“It is the random element that is slowly breaking up, destroying the, universe of stars. In an ever widening circle, with an ever increasing malignancy — if one may ascribe malignancy to a force, a tendency — it works its awful havoc. It is analogous to a grain of sand dropped into one of the interstices of a vast and intricate machine. The grain creates a small disturbance which in turn creates a larger one, and so on
“And with every event that has occurred on this earth since its departure from the sun there has been an increase of the random element. Thus we can legitimately ‘place’ events in time. Events which occurred tens of thousands of years ago may be happening
Algernon nodded. “I think I understand. But doesn’t that negate all that we have been taught to associate with the word ‘evolution’? It means that not advancement but an inherent degeneration has characterized all the processes of nature from the beginning of time. Can we apply it to man? Do you mean to suggest…”
Little shrugged. “One can only speculate. It may be that mediaeval theology wasn’t so very wrong after all — that old Augustine and the Angelic Doctor and Abelard and the others surmised correctly, that man was once akin to the angels and that he joined himself to nature’s decay through a deliberate rejection of heaven’s grace. It may be that by some mysterious and incomprehensibly perverse act of will he turned his face from his Maker and let evil pour in upon him, made of himself a magnet for all the malevolence that the cosmos holds. There may have been more than a little truth in Ulman’s identification of Chaugnar with the Lucifer of mediaeval myth.”
“Is this,” exclaimed Imbert reproachfully, “a proper occasion for a discussion of theology?”
“It isn’t,” Little acknowledged. “But I thought it desirable to outline certain — possibilities. I don’t want you to imagine that I regard the intrusion of Chaugnar Faugn into our world as a scientifically explicable occurrence in a facilely dogmatic sense.”
“I don’t care how you regard it,” affirmed Algernon, “so long as you succeed in destroying it utterly. I am a profound agnostic as far as religious concepts are concerned. But the universe is mysterious enough to justify divergent speculations on the part of intelligent men as to the ultimate nature of reality.”
“I quite agree,” Little said. “I was merely pointing out that modern science alone has very definite limitations.”
“And yet you propose to combat this… this horror with science,” exclaimed Imbert.
“With a concrete embodiment of the concepts of transcendental mathematics,” corrected Little. “And such concepts are merely empirically scientific. I am aware that science may be loosely defined as a systematized accumulation of tendencies and principles, but classically speaking, its prime function is to convey some idea of the nature of reality by means of an inductive logic. Yet our mathematical physicist has turned his face from induction as resolutely as did the mediaeval scholastics in the days of the Troubadours. He insists that we must start from the universal assumption that we can never know positively the real nature of anything, and that whatever ‘truth’ we may deduce from empirical generalities will be chiefly valuable as a kind of mystical guidepost, at best merely