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text: '> Every realistic model of computation is [ polynomial time reducible] to [ probabilistic Turing machines]\n\nWhich amounts to saying that every computable process in the universe can be efficiently simulated by a probabilistic Turing machine.\n\nThe definition of *realistic model* appeals to intuition rather than a precise definition of realistic. A rule of thumb is that a computation model is realistic if it could be used to accurately model some physical process. For example, there is a clear relation between the model of [ register machines] and the inner workings of personal computers. On the other hand, a computational model which can access an [ NP oracle] does not have a physical counterpart.\n\nAs it happened with the standard [4bw], this is an inductive rather than a mathematically defined statement. However, unlike the standard CT thesis, it is [ widely believed to be wrong], primarily because [ quantum computation] stands as a highly likely counterexample to the thesis.\n\nWe remark that non-deterministic computation is not a candidate counterexample to the strong CT thesis, since it is not realistic. That said, we can find a relation between the two concepts: if [4bd $P=NP$] and [ $BQP\\subset NP$] then $BQP = P$, so quantum computation can be efficiently simulated, and we lose the strongest contestant for a counterexample to Strong CT.\n\n#Consequences of falsehood\n\nThe falsehood of the Strong CT thesis opens up the possibility of the existence of physical processes that, while computable, cannot be modeled in a reasonable time with a classical computer. One consequence of this, that would also mean that if quantum computing is possible the speed .up it provides is non-trivial.\n\nEpistemic processes which assign priors using a penalty for computational time complexity are misguided if the Strong CT thesis is false. See for example [ Levin search].\n\n[todo: show when QM is covered?The failure of Strong CT raises the possibility for human minds in particular, and general intelligence in general being impossible to simulate without a quantum speedup, *if* it turns out that human minds take advantage of quantum phenomena. We suspect, however, that this is false.] [comment: probably not worth raising? human brains have crazy-low decoherence times.]',
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