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Not everything can be done in constant time, that's O(k)
(sh.itjust.works)
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this post was submitted on 22 Jun 2024
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I don't think that quantum physics is quite right, but the gist probably* is. Any finite system can have it's states enumerated on a table. I'd think you'd need to calculate configurations over all of space-time at compile time, and then look up answers by boundary condition.
*
Interestingly, MIP*=RE from quantum complexity theory implies tangibly infinite quantum states could exist. It's not clear if real physics has that particular feature, though. If it does no finite lookup table will do the job, even approximately.