A consistent theory must either explain how information escapes black holes, or explain how information can be destroyed. And doing so while still respecting the low energy theory places incredible constraints on it. Attempts to explain the paradox tend to result in violating 2/n
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the equivalence principle, or low energy effective field theory, or locality, or lead to catastrophic energy non-conservation. All of which are already ruled out by observation. I disagree with the article that recent results in string theory like replica wormholes resolve 3/n
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the paradox. They don't, because they don't provide an explanation of how information gets out of the black hole while respecting low energy physics. Advocates of the AdS/CFT conjecture can claim black holes preserve information, but if you don't explain how this happens 4/n
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then you haven't resolved the paradox. This is such a difficult problem that if you resolve it, you've probably successfully constructed a consistent theory of gravity. So, if anything, the black hole information problem (along with calculating the black hole entropy), 5/n
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are theoretical clues, and really great ones. And I suspect we will resolve this mathematical inconsistency well before we could even hope to have an experiment which would tell us whether black holes preserve information. 6/n
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Heck, if an amateur like me can take a stab at this problem (I think https://arxiv.org/abs/1811.03116 gets around a number of objections people have had to information destroying theories), then the game is still wide open and we ought not to prejudge it's outcome. 7/7
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But is it possible to consistently argue for or against information loss without knowing how to associate information to local regions of space in the presence of gravity?
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Is it trivial to argue that the Hilbert space factorizes into components corresponding to inside and outside of the black hole?
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