Nothing wrong with complex numbers as long as you discretize them :)
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Might. Btw., do you see arguments for reversible computation? (The less it is reversible, the hidden its past is. Hm. Thats actually a kind of reversibility from inside. Better I take that back, and think about it before :-) )
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A periodic universe is reversible. Our universe appears to be reversible: You cannot delete information. Entropy reflects the increasing cost of observers to keep track of increasing history.( Note that reversible does not have to mean symmetric.)
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