Dual state time: only input state and output state if the universe transition function exist. Global single state time: the universe transition function alters the present state in-place all at once. Local single state time: only one bit changes at a time.
Surprisingly, it seems that it does not disappear in this universe. No history is lost. An aspect of entropy results from the difficulty of observers to account for increasing history, because that requires increasing amounts of computation, causing further history.
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Do you believe there are randomness? (I dont mean ”hard to predict” but impossible)
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