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Hawking Radiation and Information loss

Physics Asked by Shay Maor on March 9, 2021

The Gravity program I watched brought something really interesting to my awareness. With black-hole Hawking radiation… everything gets sucked into the event horizon… we don’t know what happens there… if the material is lost forever. What we theorize is that over time the black hole evaporates. With the speed of light being the limit of information transmission, propagating causality, energy/mass transfer… since the gravitational force distorts space-time to such an extent that not even light can escape this region. So where does this information (a word I really enjoy) go when the black hole is evaporated?

The program goes on to communicate that this is no different than the burning of an encyclopedia. When the matter burns… all information contained in it is irreversibly lost. But to me… it seems different. The burning of a book has chemical reactions that take place with the ink of the paper… but black holes store such a practically infinite amount of information within the center. Seems like such behavior would be insanely more complex. Can anyone explain this topic or point me in the right direction?

One Answer

The "famous" information paradox. See here for more INFORMATION... Exactly this question resulted in "The Black Hole War", a book written by Leonard Susskind. After making a bet with Stephen Hawkins, it was finally concluded that Susskind (and van 't Hooft) were right and got a bottle of champagne (though the debate is still going on).
The question is indeed much more complicated than burning a book, after which it's in principle possible to retrieve all the information.
The difficulty is due to the fact that one has to use both quantum mechanics and general relativity. Susskind and others developed the ADS/CFT (anti-de Sitter Space/Conformal Field Theory) correspondence meant to make the paradox easier to grasp. This correspondence though is based on string theoretical methods, but string theory is still what it is: a theory. So the ADS/CFT can't be taken too seriously.

Due to this, the problem is, in fact, not resolved. It's not before a fully-fledged theory of quantum gravity is found (which I doubt because it's not even sure if GR can be quantized), that the paradox can be resolved.

Correct answer by Deschele Schilder on March 9, 2021

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