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 set of trajectories created by assuming all possible sets of laws would be the set of all possible universes, at least one of which contains us (only one if our universe is deterministic, so the world line does not branch).
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The transition function correlates adjacent universe states by explaining how information travels across locations in the individual states. The arrow of time is given by increasing entropy, i.e. the degree of distributedness of the starting state information across locations.
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Replying to @Plinz
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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