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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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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The problem is that continuous transitions are not computable, i.e. they cannot be described in a constructive language. I am not sure if it is meaningful to claim that something that cannot be implemented can exist.
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