There is no proof that the universe is unfolding in one and only way. In fact, it might be unfolding in zillion different ways from where an observer stands in time. One observer might go along one path and another might go in a different path. Each thinks the history is unique.
Basically, try to construct a highly connected substrate graph with information flowing along its links, and for each node try find subset of nodes/links that forms a deterministic causal network. Anthropic principle, and we are in one of the solutions? How to derive uniformity?
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The *best* pointer to deeper insights via the multiverse is David Deutsch. Have you read any of his stuff? Fabric of Reality, Beginning of Infinity or Constructor Theory? http://constructortheory.org Would love to hear your take on any of these.
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Btw., I think that the multiverse interpretation ultimately results from a difficulty to reconcile reversibility and indeterminism. There is a better way.
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