You find the laws of a universe in a memory diamond. It turns out to be the precursor to ours, a window onto the simulators' past mistakes.
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You run it, of course. It's… not that alien, actually. There's still humans, some good, some bad. And then, in it, another diamond shows up.
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They run it. We watch. The chain becomes longer, the simulators' direction clearer. We infer their next change, embed a diamond, and run it.
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Not surprisingly, they find our diamond, run it themselves, find us.
The link has been established, the chain closed.
Q.E.D.
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