No, I am proposing looking for extremely simple models one level of emergence below incomputable and therefore likely impossible ones.
If you run your TM to infinity then it can do amazing things, of course, but we are talking about mappings from finite int to finite int vs. real to real, or real to complex to complex to real.
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I think all realizable machines are finitely bounded, so while your argument is mathematically correct, it may not be relevant for our universe.
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