Schild’s Ladder

Cass examined the histogram showing the number of particles that had been detected in different energy ranges; it did not appear to be converging on the theoretically predicted curve. She’d noticed this earlier, but she’d assumed it was just an artifact of the small sample they’d collected. The histogram’s rim was quite smooth, though, and its overall shape wasn’t fluctuating much, so its failure to match the curve really didn’t look like an accident of noise. Worse, all the high-powered statistics beneath the chart suggested that there was now enough data to give a reliable picture of the underlying spectrum.

"Could we have miscalculated the border geometry?" Rainzi wondered. The particles they were seeing reflected the way the novo-vacuum was collapsing. Cass had first modeled the process back on Earth, and her calculations had shown that, although the border’s initial shape would be a product of both pure chance and some uncontrollable details of conditions in the Quietener, as it collapsed it would rapidly become spherical, all quirks and wrinkles smoothed out.

At least, that was true if some plausible assumptions held. She said, "If the converted region had a sufficiently pathological shape to start with, it might have retained that as it shrank. But I don’t know what could have caused that in the first place."

"Some minor contaminant that wasn’t quite enough to wreck coherence?" Ilene suggested.

Cass made a noncommittal sound. It would be nice to have a view from several different angles, allowing them to pick up any asymmetry in the radiation. But they’d been woken by the arrival of data from the cluster of detectors closest to the femtomachine; information from the second-closest would take almost another microsecond to reach the same spot, by which time they’d be long gone. Her old embodied self would get to see the big picture, albeit more coarsely grained. Her own task — her own entire raison d'être — was to make what sense she could of the clues at hand.

The energy spectrum wasn’t jagged and complicated, or even particularly broad. It didn’t look wrong enough to be the product of a sausage- or pancake- or doughnut-shaped region of novo-vacuum, let alone some more exotic structure with a convoluted fractal border. The peak had about the same width, and the same kind of smooth symmetry as the predicted curve; it was merely displaced upward along the energy scale, and the shoulders on either side were reversed. It wasn’t literally a mirror image of the expected result, but Cass felt sure it was the product of some fairly simple transformation. If you changed a single plus sign to a minus, somewhere deep in the underlying equations, this would be the outcome.

Zulkifli was one step ahead of her. "If you modify the operator that acts on the border, swapping the roles of the inside and outside of the region, you get a perfect match."

Cass experienced a shiver of fear, all the more disturbing for evoking the phantom viscera of her Earth body. If Zulkifli’s claim was true, then the region was expanding, not collapsing.

She said, "Are you sure that works?"

Zulkifli made his private calculations visible, and superimposed the results on the histogram. His curve ran straight through the tops of all the bars. He’d found the plus sign that had turned into a minus. Except —

"That can’t be right," she declared. The simple role reversal he’d suggested was elegant, but nonsensical: it was like claiming that they were seeing the light from a fire in which ashes were burning into wood. Conservation of energy was a subtle concept, even in classical general relativity, but in QGT it came down to the fact that the flat vacuum state remained completely unchanged from moment to moment. An awful lot of physics flowed from that simple requirement, and though it was remote from everyday notions of work, heat, and energy, a billion commonplace events that Cass had witnessed throughout her life would have been impossible, if the truth were so different that Zulkifli’s border operator was the right choice.

There was silence. No one could contradict her, nor could they deny that Zulkifli’s curve matched the data.

Then Livia spoke. "The Sarumpaet rules make our own vacuum perfectly stable; that’s the touchstone Sarumpaet used from the start. But the novo-vacuum is not decaying in the way those rules predict. So what’s the simplest way to reconcile the contradictions?" She paused for a moment, then offered her own solution. "Suppose both kinds of vacuum are perfectly stable, on their own. If there’s a wider law that makes that true — with the Sarumpaet rules as a special case — we would never have stumbled on it in the staged experiments, because we never had the full set of virtual particles that constituted a viable alternative vacuum."