The surprising fact that science works at all is a strong indication that our universe is mechanical.
You can create true randomness by including an incompressible bitstring into a deterministic computation. However, the unpredictability of local phenomena in our universe probably can be easier explained by non-locality.
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In other words, it is trivial to produce fully unpredictable results from a deterministic machine. (It is also possible to recover deterministic behavior down to an arbitrarily small epsilon from a probabilistic machine, which is how our computers work.)
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Ok, so the fundamentals of physics are deterministic, but they produce apparently random behavior. I like this; proving it is the problem.
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Does this not qualify as hypercomputation, ie. not strictly a Turing machine?
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No, why? Nothing stops you from writing an arbitrarily long sequence of unpredictable bits into the initial state of the machine.
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