Chapter V
"Wait," I exclaimed. "There is so much I want to ask you, Brett."
Frannie interposed timidly: "Did you say, Brett, that on earth the vehicle then would have been ten miles in height?"
"Yes," he agreed.
She commented, "Then your relative Time-dials must have been visibly moving----"
Dr. Gryce hastily interrupted: "The practical workings of the inherent Time-change I want Brett to explain carefully. You did not move the vehicle in Time, did you, Brett?"
"No sir. Not then."
I must have looked puzzled, for Dr. Gryce added: "We mean, Frank, that the vehicle could have traveled in Time--in earth-Time, for instance, to go into our past or our future. Brett had not done that. But immediately the vehicle started a size-change, you understand, there automatically began a Time-change inherent to that growth. Normal to it, let me say."
"Oh, yes," I nodded. "I remember you explained that. In relation to its size----"
"I'll put it this way," Dr. Gryce went on. "That girl out there is moving through Time at a definite rate. Let us say a year of our Time would be measured as a second of hers."
"Less than that," Martt interjected.
"Yes lad, I know. But those rough figures will serve for the present comparison." He turned back to me. "Keep that in mind, Frank. Now conceive Brett and Martt changing progressively upward in size, from what they are here on earth, to a size normal to that girl and the realm she lives in. A corresponding Time-change must take place. At every point of the voyage in Time and size, the relative values must agree; the vehicle's Time-rate always must be in inverse proportion to its position in size."
I nodded. "I think I understand. You mean that when in size the vehicle had progressed half-way from our size to the girl's, that then the vehicle's normal Time-rate would be half-way between our Time and hers?"
"Exactly, Frank."
"At this ten-mile size what percentage of the size-journey had been made?" I asked. I smiled. "I'm trying to imagine how large that girl may be."
Brett said quickly, "I'll tell you that later. It was some distance farther on before I could calculate such relative values even as approximations."
Frannie said, "At that point, Brett, the vehicle began speeding into the earth's future, didn't it?"
Dr. Gryce exclaimed: "Child, that will only lead us into philosophical discussion. Beyond the realm of mathematics----"
"I don't think so, Father," Brett said quietly. "I would say that since everything--Size, Time and Space--is relative, depending wholly on the viewpoint of the observer--that Frannie's question is simple enough. To me as observer--to my consciousness there in the vehicle--every given instant was the Present. The earth was out there in Space, revolving about its sun; rotating on its axis--its movements to my consciousness _faster_ than before. To me it was the Present. The earth was there. I saw it through the electro-telescope. I also saw your aural ray through the aurometer. The ray swept the sky with a rapid sweep, since to my altered Time-rate the earth was rotating faster. But every given instant was my Present.
"However, compare my consciousness to yours on earth. The earth--rotating faster relative to me--had, while I watched there, made, let us say, a full rotation in that first five minutes of my vigil. Relative to me--it was the earth's future Time. I was gazing upon earth in its _tomorrow_. So I think that I was, as Frannie said, speeding into the earth's future."
Frannie was triumphant. Dr. Gryce said smilingly, "You put it clearly, Brett. But it's a philosophical and metaphysical viewpoint nevertheless. You spoke of Saturn's having another apparent motion near the end of your size-change?"
"Yes," said Brett. "As our Time-rate became materially slower, the speeding up of all the motions inherent to the planets grew visible. Saturn's rotation on its axis became readily visible through the telescope. And the globe began very slowly shifting sidewise--at nearly right angles to our course--the visual result of the intensification of its orbital movement. . . . You were going to ask a question, Frank, a moment ago?"
I had not forgotten it. "You were telling us, Brett, how you stopped your growth at the ten-mile size. Almost immediately, you said, Saturn receded into an invisibility of distance. The entire Solar System vanished into distance. You had been traveling only seven and one-half million miles an hour before changing size. It was the new velocity I wanted to ask about. The whole question of velocity relative to size."
"Relative!" Brett exclaimed. "That's the keynote to it, Frank. Two differing viewpoints, always. Keep them both in mind--the viewpoint of earth-size, and the viewpoint of the vehicle-size. I'll try and explain it now. Once clear to you, our whole experience will clarify to your understanding. Conceive, from your external viewpoint of earth, the vehicle out there in Space dropping with a velocity of seven and one-half million miles an hour. That was its maximum, owing to the ether-friction. It started to increase in size. Hence its mass grew--in proportion directly as the cube. As the mass grew greater, the atoms of the ether became of themselves relatively smaller, less ponderable, less capable of exerting their frictional drag.
"This should be very clear to you, Frank. In a vacuum, a feather and a bit of lead fall at equal rates. The mass--the weight--has nothing to do with it. But in air--where there is a friction--the heavier object falls faster. The vehicle was like that. Its mass, so enormously increased, gave it a greatly increased maximum velocity. It picked up velocity rapidly with its growth. The formulas involved are intricate--I need only say that after forty-nine minutes of traveling at the ten-mile size, we had again reached maximum. It was about 200 million miles a minute."
"A minute!" I exclaimed.
"Yes. That is 12,000 million miles an hour, as against seven and one-half million. The vehicle's length, breadth and width had each increased to a thousand times their former size. Its mass was the product of the three--hence one thousand million times greater.
"These are all approximate to the actual figures, you understand. Round numbers are less confusing. Our resultant velocity, however, was 200 million miles a minute, at the end of the first hour. We were well beyond the Solar System by then."
Frannie asked, "Brett, why didn't Saturn appear to recede until after you had stopped your growth?"
"That was merely optical, Frannie. Our velocity away from Saturn was steadily increasing. But with our increasing size, the space seemed dwindling--as though Saturn were following after us. With the growth checked there was a visual reaction--an apparent leaping away. It was merely optical. Anything else?"
"I'd like to know," I said, "the relation of your Time in the vehicle at the ten-mile size--its relation to our earth-Time."
"The proportion of one to one thousand," he answered readily. "Seven seconds to me, then, was about two hours on earth. Could I have seen the earth when I reached that maximum, it would have made a complete rotation on its axis--a day of yours--in a minute and twenty-four seconds to me.
"It's all clear, isn't it? Suppose I go back to the details of our trip? With ten miles of earthly size, at a velocity of 200 million miles a minute we were dropping into the black void of Space. The Solar System was lost presently, even to telescopic vision, but with the naked eye the firmament of stars was very little changed. I searched with the myrdoscope for the image of the girl, but did not chance to pick it up. We were hot again within the vehicle, from the ether friction--as hot as we had been before.
"Beneath us, in the star-field for which I was heading, was Alpha Centauri. It is, as you know, one of the very closest stars to our Solar System--to our earth. In miles, roughly some 25,000,000,000,000. Four and a third light-years of distance, 4.35 light-years to be exact. At 200 million miles a minute we would have been some eighty-eight days getting there."
"I couldn't have stood a trip so long," Martt exclaimed. "I told him we'd have to increase our size again. Nearly three months to get to the nearest star--with others a thousand times farther on!"
"There was no reason for us to stay so small," Brett agreed. "Out there, with the Solar System so far away, I had no fear of disturbing it."
Again I interrupted. "Brett, the vehicle's velocity was then much greater than the velocity of light----"
"About eighteen times greater."
"It seems inconceivable," I added. "Impossible for any tangible entity in Space to attain such velocity."
"Ah, but Frank, that's where you're using the wrong viewpoint," Dr. Gryce exclaimed warmly. "You're still imagining yourself an observer on earth. But take the viewpoint of the vehicle. Space was proportionately smaller than before. Brett gives you the earth-size figures in order to avoid confusion. From the vehicle's enlarged viewpoint, Brett, what was its comparative velocity?"
"About twelve million miles an hour," Brett said. "As against a former seven and one-half million. Not so great a change, Frank?"
"No," I admitted. "But----"
"But you can not quite grasp how the two velocities can be the same? Existing simultaneously in the same vehicle, only with a differing viewpoint?"
I think that was my trouble. I nodded, and he said at once, "To the larger viewpoint, Frank, the Space had diminished a thousand times, to make a thousand miles become as one mile. Not an _actual_ change--a relative change only. But twelve million miles an hour, with distance diminished one thousand times, is the same as twelve thousand million miles an hour with the distance factor unaltered. You see that, of course. Or consider the relative Time-values. The vehicle's Time was seven seconds to about two hours. The exact figures were one to one thousand. In the vehicle we lived a thousand earth-seconds in one. Applied, then, to the two viewpoints of velocity, it gives identical results for the distance traveled. Whatever the factors involved--the earth-Time; the vehicle-Time; the Space relative to the vehicle; or to the earth; and the velocity, relative either to the vehicle-size or earth-size--the result must be mathematically the same. You see? And, Frank, in describing the progressive size-changes into which we now plunged, I shall give you always Space with earth-standards, and our velocity from the viewpoint of earth. It reached tremendous figures; but you are to remember always that of actuality they must be divided by the relative size factor. They were never greater than you would have expected the vehicle to obtain.
"I was saying that we were headed for Alpha Centauri. Again we started the growth. I threw the switch to its fullest intensity. Martt stayed to watch the dials; I sat on the floor, gazing down through the window at the star-field spread out beneath me. When my head had cleared from the shock of starting the growth, I sat absorbed in watching. Soon visible movements appeared. The star-drifts began to be apparent. And we were going toward these stars; the apparent shortening Space, added to our increasing relative velocity, made their approach visible. In the field to the sides of us, the stars were shifting upward. Those in front were spreading apart with a movement very slow but perceptible as we dropped toward them.
"I do not know how long I sat there; Martt occasionally would call to me from his post at the dials, but I hardly heard him. Alpha Centauri presently came rushing forward. As you know, it is a binary--twin stars a few hundred million miles apart, its components revolving about each other with a period of eighty-one years. It had been one blazing white point of light. Then it separated into two. They stayed visually small, for they were dwindling before the vehicle's growth; but they came rushing toward us. Soon I could see them separated by a narrow black ribbon of the void; and could see them revolving one about the other."
"An eighty-one-year period, and you could see it!" I exclaimed.
"Yes--a very slow movement, but I could see it. I would have passed between them--the ribbon of Space there was widening rapidly, the stars themselves had become great, blazing white-hot suns. But I was afraid of the heat; I altered our course to present a slightly repellent side. The firmament turned partly over. The two stars swung up past our side window; in visual diameter larger than our earthly sun--they mounted upward, closed in above us, drew together to form one; a sun at first; then a brilliant star; then faint, until with the naked eye I lost it.
"Beneath us, the star-field in front was rushing upward much faster now. The constellations opening; the stars shifting--everywhere was movement--strange movement, unnatural, fantastic. I confess, Father, that I was injudicious. Martt was absorbed, fascinated in watching the dials, and when occasionally he would call to me, I told him everything was all right."
"I didn't know what was going on," said Martt. "You told me to sit there and I sat there."
"Of course you didn't know what was going on," Brett smiled. "But I did, and I think for a time I lost my wits. The stars were thick and close around us. The nebulæ were opened into individual points of fire. Everywhere was movement, unreal. Stars rotating visibly; binaries shifting about each other; other stars shifting about each other; other stars seeming to enlarge in size, or to diminish, to swing this way or that with all the optical vagaries of our velocity, our changing Time and Size; and always those of the star-field in front--beneath us--spreading to the sides, rushing past our windows, closing in above us and fading into invisibility.
"A myriad universes in fantastic motion. And suddenly I realized that these giant suns were very close to us, and very small! Some I had recognized--blazing globes 100 million miles and more in diameter, and thought myself ten times that far from them. But it was not so. I stared at a giant globe 100 million miles in diameter, and with my viewpoint suddenly changed I saw that it was no more than a tiny glowing meteor, sweeping past a few miles away!
"All this star-field, little balls, rolling close upon us. A miracle that none hit us, though some time before, I had had the wit to call to Martt to make all the faces repellent. By inertia only, we plunged onward, repelling what lay in our path.
"I saw a wandering asteroid--a few hundred miles perhaps in diameter. It was whirling on its axis like a ball thrown into the air. A whimsical humor--a madness perhaps--had descended upon me. There was nothing but the asteroid momentarily close before us, and I called to Martt to throw attraction into the bottom of the vehicle. The asteroid came rushing. But shrinking--shrinking until I laughed aloud to see it dwindle to a ball I could have held in my hand; and dwindle further until impotently it struck the floor window with a tiny point of fire from its fusing rock and metal. A burning cinder which scarce would have hurt me had I caught it in my naked hands.
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Explorers into infinityChapter V
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