‘Seems like we did a lot better. If we don’t, we’ll have to get Joe to make a lunch today.’
They did considerably better. By noon, Mart had six and Berk had seven good trout.
‘I’ll write the fish researcher a letter,’ said Mart, ‘and your family will eat trout for a week.’
After lunch they sat with their backs against a tree on the bank and watched the water flowing past.
‘Have you got any attack on the project at all?’ said Berk.
Mart told him about the last seminar. ‘Dykstra may be entirely right. His maths makes a pretty picture. But I was serious when I suggested the re-examination of the postulate of equivalence - at least as it now stands.’
‘You’re ahead of me,’ said Berk. ‘What is the postulate of equivalence?’
‘It was proposed by Einstein in one of his first papers, the 1907 one, I think. He postulated that the effects of inertia are equivalent to those of gravity.
‘That is, in an object propelled at a constant rate of acceleration, a man would feel effects that could not be distinguished from those of gravity. He could walk, function, and would have weight just as if he were on a large mass having gravitational attraction.
‘Conversely, an observer inside a freely falling elevator in Earth’s gravitational field would observe no effects of gravity inside that elevator. He could stand on a scale, and would register no weight. Liquid would not pour from a glass. It has been stated that no mechanical experiment could ever reveal the presence of Earth’s gravitational field in the interior of any such frame of reference moving freely in this field of gravitation. We have accepted this assumption for a long time.
‘There are good reasons for accepting it, good, sound mathematical reasons. Yet we have not empirically exhausted all possible means of detecting a gravitational field under such conditions, and it is foolish to exclude the possibility.
‘So - Dykstra has made a good point in his fairly rigorous; demonstration that a mechanism such as Dunning’s would demand the abandonment of the postulate of equivalence. It may well be that the postulate is an unwarranted assumption, based upon inadequate data. If so, that’s a good starting point. What the next step might be, I don’t know.’
‘Is gravity a kind of a something that can be identified otherwise than as a mathematical symbol - or through the observation of a falling apple?’
‘No. That’s all it is, actually. A symbol in our formulas that stands for an unidentified something which manifests itself in the attraction between masses.’
‘How about a flowing something, like this stream?’
‘Could be. Nobody knows.’
The water eddied about a projecting rock near the bank. Berk threw in a handful of sticks he had been idly breaking, in his hand. Swiftly, they flowed together and converged in the centre of the whirlpool by the rock.
‘Might be a point of view,’ he said, ‘in which it could be postulated that those sticks gravitated towards each other under a mutual attraction.’
‘It wasn’t attraction in them,’ said Mart thoughtfully. ‘It was forces pushing and pulling on them. Gravity - a pushing and pulling, maybe. But a pull or a push of what? That Dunning! He knew!’
Sitting on the porch in the dark, after dinner, Mart had a feeling of satisfaction, a vague sense of having accomplished something during the day. He didn’t know what, but it didn’t matter. It was something—
‘You know,’ he said suddenly, ‘the thing we need to know, and that you psychologists ought to be able to tell us, is where ideas come from.
‘Take the first cave man with two brain cells big enough to click together. Where did he get the idea to put a fire in his cave? I think that’s the problem you and I tried to solve a long time ago. Where do they come from - inside or outside?’ He paused and gave the mosquitoes his attention.
‘Keep going,’ said Berk.
‘I haven’t any further to go. I’m thinking about gravity again.’
‘What are you thinking?’
‘How to get a new idea concerning it. What does a man actually do when he cooks up a new theory, a new mechanism? I feel like I’m being sucked into that problem constantly, instead of the one I’m supposed to be attacking.’
‘Well, what are you doing? You’re trying to cook up a new idea—’
‘I’m thinking right now about this afternoon. Something flowing - but it would be something you couldn’t get a picture of- like space-time. Now that it’s been brought into the open, I think I really have never liked the postulate of equivalence. Just a feeling knocking around through a few molecules in my cranium. The postulate is wrong.
‘Then I try to picture something flowing through the dark of space. It couldn’t be a three-dimensional flow like a river.’
He sat up straighter and slowly withdrew the cigar from his mouth. ‘It couldn’t be— But it could be a flow—’ He stood up suddenly and turned towards the house. ‘Look, Berk, you’ve got to excuse me, if you don’t mind. I’ve got some maths to do.’
Berk’s cigar tip brightened in a long, glowing moment. ‘Don’t mind me,’ said the psychologist.
* * * *
V
Berk had no idea what time Mart went to bed that night. In the morning he found him in the same position working furiously, and had the impression Mart had not retired at all. He observed he’d changed clothes, at least.
‘The fish are calling,’ said Berk.
Mart glanced up. ‘Give me another half hour. Look, the fish can wait. I’ve got to get back to the office as soon as possible. There’s something here I want to keep on with.’
Berk grinned agreeably. ‘Go to it, boy. I’ll get the car packed. You say when.’
In town he went directly to his own office without seeing anyone. There, he continued the work begun the night before. As he proceeded, some of his initial enthusiasm waned. It would be two or three days before he would be ready to invite inspection. One of his manipulations several pages back turned out to be in error. He retraced slowly through the maze.
A little after three there came a knock. He looked up in irritation as Dykstra walked in.
‘Dr Nagle! I’m glad you’re in. I tried and couldn’t find you yesterday.’
‘I took a day off for fishing. Can I help you?’
Dykstra slid into the chair on the other side of the desk with an almost furtive motion. Mart frowned.
‘I have something of extreme importance to discuss regarding the project,’ said Dykstra. He leaned forward confidentially, his eyes squinting a little behind the owlish glasses.
‘Do you realize,’ he said, ‘that this entire project is a fraud?’
‘Fraud! What are you talking about?’
‘I have been over the Dunning house, so called, with a fine-toothed comb. I proved to you in our last seminar that the postulate of equivalence denied the possibility of any such device as this Dunning is supposed to have invented. Now, I can assure you that Dunning never existed! We are the victims of a base fraud.’
He clapped the palms of his hands upon the top of the desk in triumphal finality and leaned back.
‘I don’t understand,’ murmured Mart.
‘You shall. Go over that laboratory. There is no consistency. Examine the shelves of reagents. Ask what possible chemical endeavour could be carried out with such a random selection of materials. The electronics section is as hodgepodge as the corner television shop. The computers have never been used in the room they are in. And that library - it is obvious what an intellectual packrat’s nest that is!
‘No, Dr Nagle, for some inconceivable reason we are the victims of a base fraud. Anti-gravity! Do you suppose that anyone here actually thought they could make us believe it?
‘Now, what I want to know is why we have been sent on this fool’s errand when the nation needs the talents of each one of us so badly?’
Mart felt a faint sickness in the pit of his stomach. ‘I’ll admit there are strange things abou
t this presentation. If what you say should be true, how can the eyewitness accounts be explained?’
‘Perjury!’ snapped Dykstra.
‘I can hardly imagine a member of the JCS involved in such. I am sorry, but I do not share your opinion. As a matter of fact, I have done a good deal of work towards our goal.
‘As of this moment, I am prepared to say definitely that the postulate of equivalence is not going to hold.’
Red-faced, Dykstra stood up. ‘I’m extremely sorry you hold such views, Dr Nagle. I had always believed you a young man of great promise. Perhaps you shall yet be when proper light is thrown upon this abominable fraud perpetrated upon us. Good day!’
Mart didn’t bother to rise as Dykstra stomped out of the door. The visit bothered him. Absurd as the accusations were, they threatened the foundation upon which he worked. If he could not be sure that Dunning’s device had performed as described he was subject to the buffeting of all his prior assurance that anti-gravity was nonsense.
But the JCS involved in a reasonless and silly fraud as Dykstra proposed—!
He turned back to his sheets of computations with almost frantic energy. When it was almost time that most of them would be leaving he reached for the phone and called Jennings. The man was an able mathematician and could work this through if anyone could. It was not as far along as Mart would have liked it, but he had to know if he were at the entrance to a blind alley.
‘Can you come over for a moment?’ he said. ‘I’ve got something I’d like to show you.’
In a few moments Jennings appeared. As he came in the door he gave Mart the momentary impression of an old-time country preacher ruffled with righteous indignation at the sins of his congregation.
He blurted out before Mart had a chance to speak. ‘Did you see Dykstra this afternoon running around with some cock and bull story about the project being a fraud?’
Mart nodded.
‘Why Keyes ever let an old fool like him in here - Dyk has been a fine man. But he’s shot his wad. I called Keyes at once.’
‘I guess all of us have had natural suspicions like Dykstra’s,’ said Mart, ‘but not enough to go completely overboard as he has.’
‘I’ve talked to several of the others. They are upset, some of them. I tried to lift them out of it. But what is it you’ve got? Anything that looks like an answer?’
Mart slid the sheets across the desk. ‘The postulate of equivalence is out. I’m pretty sure of that. I’ve been computing the possible field of motion circulating through curved space. It turns out to be an eight-dimensional thing, but it makes sense. I’d like you to look it over.’
Jennings’ eyebrows raised. ‘Very good. Of course, it’s not easy for me to accept the renunciation of the postulate of equivalence, you understand. That has been around for forty-five years now.’
‘We may find something to fit in its place.’
‘You have no other copy of this?’
Mart shrugged. ‘I can do it again.’
‘I’ll take good care of them.’ Jennings put the papers in an inside pocket. ‘But suppose you do demonstrate the possibility of such a flow? Where do we go from there? Have you any idea?’
‘Some,’ said Mart. ‘I watched a whirlpool yesterday. Ever watch what happens to sticks when they are thrown into one ? They go towards each other. That’s gravity.’
Jennings frowned. ‘Now wait a minute, Mart—’
Mart laughed. ‘Don’t get me wrong. Consider this flow. I don’t know what properties it might have. It would have to take place through four of the dimensions involved. But when we get through, we’ll develop the expression for the curl of such a flow through material substance.
‘Suppose such a curl exists. Whirlpools appear. It’s crude analogy. Your mind can’t get hold of it. We need the math. But perhaps we can show that the curl is in such a direction as to cause a reduction of spatial displacement between masses causing the curl. Could that make sense?’
Jennings had been sitting very still. Now he smiled and spread his hands on the desk top. ‘It could. The curl of an eight-dimensional flow would be fairly complex. But if it develops all right, what then?’
‘Then we build a device to streamline matter through this flow, so that curl will not develop.’
Jennings sat back in his chair as if suddenly limp. ‘Holy smoke, you’ve got it all figured out! But wait a minute, that would simply nullify gravity. How about anti-gravity?’
Mart shrugged. ‘We find a way to introduce a reverse curl vector.’
‘That does it, boy, that does it.’
Mart laughed and walked to the door with him. ‘Yeah, I know how the thing sounds, but, look - I’m really not kidding. If this gravitational flow expression works out, the rest of it could follow. It could, Jennings.’
Jennings faced him with all amusement gone out of his face. ‘I’m not laughing, Mart,’ he said, ‘not at you, anyway. If we get the answer to this whole thing it’s going to be something like that. It’s just that everything we’ve postulated up to now has so completely blocked any thinking of this kind that a man has to be prepared to consider himself slightly rocky to even talk about it.’
It was a day later when Berk called him. ‘Hey, Mart, why didn’t you let us know right away about Dykstra? If Jennings hadn’t called, we might have got to him too late.’
‘What do you mean?’
‘This story he’s been giving about the project’s being a fraud. I hope you weren’t bothered by it.’
‘Not much. Are you going to kick him off the project?’
‘That follows, naturally. He’s in a rest home now. His mind was so congealed that be couldn’t accept the reality of Dunning’s work. He flipped his lid in a mild sort of way. He’ll be all right in a few weeks and can go back to teaching.’
‘I’m sorry about it. We almost have the answer he was afraid to face, I believe.’
Impatiently, Mart threw his thesis open to the whole seminar that day. It was a bit hard to take for some who had been inclined somewhat in Dykstra’s direction, but the maths was clean enough to appeal to all of them. They pitched in almost as a solid unit to try to obtain a formulation convertible to metal and electrons and fields.
Jennings was the one who carried it all the way. He rushed into Mart’s office three days later without knocking and slapped some sheets on the desk.
‘You were right, Mart,’ he exclaimed. ‘Your field does show curl in the presence of material substance. We’re on our way to Dunning’s flying belt!’
But when it came, Mart was dismayed. The entire group worked in a thirty-six hour seminar to whip the work into final shape. The result was that an anti-gravity machine could be built. But it would be the size of a hundred-ton cyclotron!
Mart told Keyes what they had. ‘It’s a far cry from Dunning’s flying belt,’ he said. ‘We’ll continue trying to boil it down if you want us to, or we can submit a practical design that will work now in the shape we’ve got it in.’
Keyes glanced at the sketches Mart had prepared. ‘It isn’t exactly what we’d expected, but I think we’d better build it. The important thing right now is to get a practical anti-gravity machine functioning. Refinements can come later. The shops are yours. How long will it take?’
‘It depends on what you wish to put into it in the way of men and machines. With a round-the-clock crew I believe the model could be ready in about three weeks.’
‘It’s yours,’ said Keyes. ‘Build it.’
It was actually over four weeks before the first demonstration was scheduled in the big machine shop protected by the triple security seal that had shrouded the whole project.
Those in attendance were the ones present at the first conference plus a few of the workmen who had helped build the massive device.
The demonstration was simple, almost anti-climactic after the hectic seminars they had sweated out the past weeks. Mart stepped to the switchboard that seemed diminutive under the high, steel-ar
ched ceiling of the shop. He threw the main power switches and then adjusted slowly a number of dials.
Almost imperceptibly, and without wavering, the enormous disc-like mass rose in the centre of the shop. It hovered without visible support three feet above the floor.
The disc was thirty feet in diameter and three feet thick. Its tonnage was evident in the long crack in the concrete floor beneath the I-beams laid temporarily to support it.
Dr Keyes reached out a hand to touch the mass. He pushed with all his might. Mart smiled and shook his head. ‘It’ll move if you push long enough and hard enough. But it has almost the inertia of a small battleship. A far cry, as I said, from Dunning’s flying belt. But we’ll keep trying.’