Event horizon isn’t special from GTR standpoint, and at least in AdS/CFT correspondence gravity can be “removed” from consideration entirely. So can a particle whose wave function is completely inside a black hole at some point in time “smear” to the outside and end up being observed there just by tunneling? I’m not a physicist, so feel free to make any corrections to the question.

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    $\begingroup$ I can't guarantee that answer since I do not know if it has been done for that exact case, but generally speaking, quantum fields cannot affect anything outside of their own light cone. As anything inside a black hole would only have its light cone inside the horizon, I do not think you'd be able to tunnel out for this reason. $\endgroup$ – Slereah Sep 6 '15 at 17:20
  • $\begingroup$ I feel like in order to answer this question we'd need a quantum theory of gravity, which we don't have. $\endgroup$ – aquirdturtle Sep 6 '15 at 18:13
  • $\begingroup$ see my answer to a duplicate here physics.stackexchange.com/q/482651 $\endgroup$ – anna v May 27 at 7:35

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