Here is a thought: If we were to enumerate the set of all possible discrete universe states with the same number of bits, some of those can be interpreted as successor states of another, for a computable transition function (aka a set of physical laws).
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The hypothetical "big bang state" is a state in which information is perfectly aligned with location, i.e. different locations don't hold correlated information. There is no time before the big bang, moving away from it in any direction means moving forward in time.
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A pure big bang state seems incompatible with a deterministic universe, because when we trace the evolution of the universe backwards into it, we cannot recover our trajectory. The universe either does not hold such a state, or it is continuous, or it is indeterministic.
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How about the notion of computational limits? Time as constrained irreversible structural evolution, and time dilation via dense non-structure e.g. degrees of freedom slowing down the simulation?
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Time dilation is an aspect of Lorentz invariance. I think it happens because traveling observers have lower rates of internal updates.
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