I think of the Past Hypothesis as "entropy was low at the beginning of our observable universe.” It's definitely true, but it would be great if we could *derive* it without explicitly violating time symmetry, rather than simply postulating it.https://twitter.com/PhilSciArchive/status/1083832934618951680 …
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My idea has long been that entropy can dynamically increase in both far past (long before the Big Bang) and far future if the entropy of the entire universe is finite but unbounded. The trick is to build realistic cosmological models with that property.
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In 2004 Jennifer Chen and I suggested you could do that if empty space could nucleate tiny baby universes that would inflate, make galaxies, and then empty out. Our universe would be one such baby. There might be other ways, but I can’t think of any. https://arxiv.org/abs/hep-th/0410270 …
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The only other thing I can think of is if time is emergent rather than fundamental, and the Big Bang is truly the first moment in the history of the universe, and that moment has low entropy for some as-yet-murky reason from quantum gravity or something. Could be!
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But even if time is an emergent property, we should be able to take our fundamental theories and predict such an emergence.. I'm on David Chalmers's side when it comes to his views on emergentism (applied to time in this case as opposed to philosophical zombies)
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