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Zak had been forced to give up his beloved three, and the simple assumption that the shomal-junub weight would be equal to the hidden rarb-sharq weight, which the spin canceled out exactly. Since the shomal-junub cycle was faster than the spin, the shomal-junub weight was stronger than both the spin weight and its equal, the rarb-sharq weight.

Call the shomal-junub weight one. The rarb-sharq and spin weights could be quantified now: they were sixteen parts in twenty-five (the square of the ratio of the shomal-junub period to the spin period). The total garm-sard weight was two and a quarter, according to the weight measurements taken throughout the Splinter, and supported by the fact that the looping stone calculations, based in part on that figure, gave the same rate of spin as Roi's new device.

If you stripped away the complications of spin, the hidden rarb-sharq weight was revealed—sixteen parts in twenty-five—and the garm-sard weight was reduced, down to one and sixty-one parts in a hundred, which was just three parts in a hundred short of one and sixteen parts in twenty-five.

The sum of the two weights that pushed things toward the center of the Splinter was, within the limits of the accuracy of their measurements, equal to the weight that pulled things away from it. The forces that squeezed and the forces that stretched were in balance after all. The number three was nowhere in sight, but of all its beautiful corollaries, the one symmetry that Zak had most admired had somehow outlived it.

Zak said, «We don't know when the Map of Weights was drawn, or what its purpose was. It might be nothing but a guess, or a crude approximation, or a record of someone's wishful thinking. But suppose it's none of those things. Suppose it's an accurate record of the truth, of the weights as they once were.

„This map can't tell us if the weights have grown stronger since it was drawn, because we don't know what scale was used to depict them. It does tell us two things, though: first, that the ratio between the weights has changed, and second, that a hidden relationship between them has stayed the same.“

As Roi contemplated this she realized how unsettling it was. It was easy to invent stories about the world being torn apart: one time, many times, take your pick, the event happening for no particular reason and making no particular sense. Everything she'd seen or heard on the subject was either six generations removed from a reliable witness, or had many other explanations. But above and beyond the flimsiness of the evidence was the apparently arbitrary nature of the claims. When a disaster could be invoked without cause or constraint — at some fabulist's whim, as it were — it was easy to doubt its authenticity.

Who would have fabricated a map, though, which secretly implied the very same symmetry as all the painstaking measurements that she and Zak had just made? This hidden thread of order didn't yet tell them why or when the weights might have changed, but the hint that they couldn't just shift any way they liked suddenly made the possibility of change seem far more real to Roi than it had ever been before.

„What now?“ she said.

„We have a candidate for a guiding principle,“ Zak said, „but it still needs to be checked, to be verified somehow. And we still don't know how it manifests itself in the rules of natural motion; we know the weights close to the Splinter, but we don't know the precise rules governing orbits in general.

„We also need to discover, or deduce, the rules that govern the history of the Splinter, past and future. We need to know if the weights really could have changed, and when and by how much they will change again.“

Roi could have recited the same demands herself, but hearing them spelt out this way made her feel as if she'd been loaded down with an impossible burden.

„It's too much,“ she said. „Too much for your lifetime, and mine.“

„Of course it is,“ Zak replied. „One solution to that would be to write down what we've learned, put copies in all the libraries, and hope that in the future someone curious, intelligent, and fiercely independent will come along, understand what we've written, and take up the task where we left off.“

Roi said, „That might not happen for a hundred generations.“

„Then we're left with no other choice,“ Zak said. „We need to recruit more people to help us, here and now. Then we can both see the job completed, and we can both die happy.“

<p>9</p>

Rakesh felt no change in his body, no disruption in the flow of his thoughts, but when he looked up from the console the pattern of stars through the window was different, and the meteor had vanished from its enclosure.

«All right,» he said slowly. «I can live with that.»

«This means. whatever they just did to us, they didn't feel entitled to do to the meteor?» Parantham frowned. «Or they just didn't want us mistaking a low-fi copy for the thing itself?»

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