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from under the sea. The hope was that this travail could give the admirals some idea of what their navy might suffer in some future nuclear war.

      Bikini Atoll, of course, wasn’t the end of nuclear weapons testing. It was just the beginning. Over the next dozen years and more the Americans exploded bomb after bomb in the atmosphere, diligently noting yield and damage done and every other number that could be extracted from a test. So did the Soviets and the Brits a little later, the French and the Chinese later still. Altogether the first five nuclear powers (who also happened, not by chance, to be the five permanent members of the United Nations Security Council) set off a total of more than fifteen hundred nuclear weapons in the atmosphere. They did this in places such as the Marshall Islands in the Pacific, in Algeria and French Polynesia, in desert areas of Australia, in Semipalatinsk in Soviet Kazakhstan and Novaya Zemlya in the Arctic Ocean, in the marshy waste of Lop Nor in China, and in many other places all around the world.

      It did not greatly matter where the blasts originated. Each one of them produced an inconceivably brilliant flash— “brighter than a thousand suns,” was how the physicist Hans Thirring described it—a flash that swelled out into space in a hemispheric shell of photons, expanding at the rate of three hundred thousand kilometers in each second.

      By then the photons of that first puny radar flash that young Arthur Clarke had aimed at the moon had traveled a long way from the place in the galaxy where Earth had been when the photons were launched.

      How far had they gone? Well, by then it had been some thirty years since that radar flash of his had returned no data. Light—or radio waves, or electronic radiation of any kind—travels at, well, at that velocity of 186,000 miles (or some 300,000 kilometers) per second that is the speed of light. So each year those photons had traveled one light-year farther away, and in their passage they had already swept through the systems of several hundred stars. Many of those stars had planets. A few had planets capable of supporting life. A small fraction of that life was intelligent.

      Human beings never did know which star’s beings first detected what was happening on Earth. Was it Groombridge 1618? Alpha Centauri B? (Or, for that matter, A?) Or Lalande 21185, Epsilon Eridani, perhaps even Tau Ceti?

      The humans never knew, and perhaps that was just as well. It would only have worried them.

      Whichever star’s system they had inhabited, the astronomers among those creatures (they didn’t call themselves astronomers; their term for what they did was something like “inventoriers of externalities”) paid close attention to that first weak pulse. It troubled them.

      These people did not look in the least like humans, but they had certain nearly human “emotions,” and among them was something quite like fear. The microwave emanations from Earth were the first things to worry them. Then came those far brighter fire bursts that arrived a little later—the ones from the first nuclear test from White Sands Proving Ground, and then from Hiroshima and Nagasaki, and then from everywhere. Those flashes set those alien skywatchers to clattering and squealing at one another. Such flashes represented trouble, and potentially very big trouble.

      It wasn’t that those first observers felt fear at what humanity was doing on its remote little planet. They didn’t care in the least what happened to planet Earth. What worried them was that that same expanding hemisphere of radiation would not die out once it passed their star. It would keep going on, farther and deeper into the galaxy. And sooner or later it would reach certain other individuals who were likely to take it very seriously indeed.

THE LAST THEOREM

       1

       ON SWAMI ROCK

      And so now, at last, we meet this Ranjit Subramanian, the one whose long and remarkable life this book is all about.

      At this time Ranjit was sixteen years old, a freshman at Sri Lanka’s principal university, in the city of Colombo, and more full of himself than even your average sixteen-year-old. It was the end of the semester and, at his father’s bidding he had made the long trip from Colombo slantwise across the island of Sri Lanka to the district of Trincomalee, where his father had the distinction of being chief priest at the Hindu temple called Tiru Koneswaram. Ranjit actually loved his father very much. He was almost always glad to see him. This time, however, he was a bit less so, because this time Ranjit had a pretty good idea of what the revered Ganesh Subramanian wanted to talk to him about.

      Ranjit was an intelligent boy, in fact one who was quite close to being as smart as he thought he was. He was a good-looking one, too. He wasn’t terribly tall, but most Sri Lankans aren’t. Ethnically he was a Tamil, and his skin color was the rich dark brown of a spoonful of cocoa powder, just before it went into the hot milk. The skin color wasn’t because he was a Tamil, though. Sri Lankans have a rich palette of complexions from near-Scandinavian white to a black so dark it seems almost purple. Ranjit’s best friend, Gamini Bandara, was pure Sinhalese for as many generations back as anyone had bothered to count, but the boys were the same in skin hue.

      The boys had been friends for a long time—since that scary night when Gamini’s school had burned to the ground, probably put to the torch by a couple of upperclassmen smoking forbidden cigarettes in a storage room.

      Like every other nearby human being capable of picking up a splintered piece of plywood and throwing it on the back of a truck, Ranjit had been drafted for emergency relief work. So had all the rest of the student body of his own school. It had been a dirty job, a lot harder than a youngster’s developing muscles were used to, not to mention the splinters and the scrapes and the endless cuts from the broken glass that was everywhere.

      Those were the bad parts, and there were plenty of them. But there were good parts, too. Like the time when Ranjit and some other boy around his own age finally got down to the source of some plaintive sounds that were coming from a debris pile, and released the headmaster’s terrified, but intact, elderly Siamese cat.

      When a teacher had carried the cat off to its owner, the two boys had stood grinning at each other. Ranjit had stuck his hand out, English fashion. “I’m Ranjit Subramanian,” he’d said.

      “And I’m Gamini Bandara,” the other boy had said, pumping his hand gleefully, “and, hey, we did a pretty good job here, didn’t we?”

      They agreed that they had. When at last they had been allowed to quit work for the day, they had lined up together for the sort of porridge that was their evening meal, and plopped their sleeping bags next to each other that night, and they had been best friends ever since. Helped out, to be sure, by the fact that Gamini’s school had been made uninhabitable by the fire and so its students had to double up at Ranjit’s. Gamini turned out to be pretty much everything a best friend could be, including the fact that the one great obsession in Ranjit’s life, the one for which there was no room for another person to share, didn’t interest Gamini at all.

      And, of course, there was one other thing that Gamini was. That was the part of Ranjit’s impending talk with his father that Ranjit least wanted to have.

      Ranjit grimaced to himself. As instructed, Ranjit went straight to one of the temple’s side doors, but it wasn’t his father who met him there. It was an elderly monk named Surash who told Ranjit—rather officiously, Ranjit thought—only that he would have to wait a bit. So Ranjit waited, for what he considered quite a long time, with nothing to do but listen to the bustle that came from within his father’s temple, about which Ranjit had mixed emotions.

      The temple had given his father purpose, position, and a rewarding career, all of which was good. However, it had also encouraged the old man in the vain hope that his son would follow in his footsteps. That was not going to happen. Even as a boy, Ranjit had not been able to believe in the complex Hindu pantheon of gods and goddesses, some with their various animal heads and unusual number of arms, whose sculptured figures adorned the temple walls. Ranjit had been able to name every

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