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Hmm, I don't understand the diagram yet, but I am puzzled by the fact that time reversal symmetry appears to be broken: You can fall into a black hole, but the time reverse of that would be forbidden.
In practice, time reversing a rocket would violate thermodynamics, but an individual particle like a single electron does not have entropy. So if it can go into a black hole, why can't it go out in the time reverse of how it went in?