The Entropy of Hawking Radiation

Black holes have a temperature and an associated entropy. This thermodynamic entropy is equal to the area of their horizon. Surprisingly, black holes have a second entropy, a von Neuman, fine grained, or quantum entropy which is given by the area of another surface. This entropy formula can be generalized to other systems. When it is applied to radiation, it gives a result that suggests that black holes preserve information (as opposed to destroying information).

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