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This question already has an answer here:

A little side question, can someone please explain to me how quantum and relativity would have an influence on this theory.

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marked as duplicate by John Rennie, Qmechanic Apr 10 '17 at 18:01

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    $\begingroup$ That's an odd phrasing. Typically one does not prove existence in reality via mathematical proofs. In fact, such a theoretical proof was exactly what Hawking put forth in 1974 when he published the idea. $\endgroup$ – Cort Ammon Apr 10 '17 at 17:50
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    $\begingroup$ Possible duplicate of An explanation of Hawking Radiation $\endgroup$ – John Rennie Apr 10 '17 at 17:54
  • $\begingroup$ Not taking into account the issues with the phrasing in this question, I am pretty sure that Hawking did :) $\endgroup$ – Prof. Legolasov Apr 11 '17 at 0:30