Most of my favourite papers are field finding.
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What's even more striking is that many funders are very, very keen on field founding. And yet they adhere to policies which make field finding actually impossible for them to fund.
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QM is slightly hypercomputational. If QM turns out to be ontologically correct, in the sense that we live in a universe that can factor large numbers efficiently, then the Church Turing Thesis is wrong. I am willing to bet against that...
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Quantum computers obey the Church-Turing thesis. I guess you're thinking of the possibility they violate the strong Church-Turing thesis. (Side note: we have no proof factoring is hard on conventional computers. I wouldn't be hugely surprised if it's not.)
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Did I ever mention wondering about the formal similarity between perfect simulation and a symmetry of physical law? (Simulation is a commutative diagram, like momentum commuting with the Hamiltonian.) Can you get something like a conservation law out of that?
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Interesting idea (& interesting observation about simulation). Conservation laws a la Noether usually arise out of continuous symmetries, not discrete symmetries, which is how you seem to be thinking about simulation.
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