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arXiv · 1003.3679

A note on black hole entropy, area spectrum, and evaporation

C. A. S. Silva·R. R. Landim
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Abstract

We argue that a process where a fuzzy space splits in two others can be used to explain the origin of the black hole entropy, and why a "generalized second law of thermodynamics" appears to hold in the presence of black holes. We reach the Bekenstein-Hawking formula from the count of the microstates of a black hole modeled by a fuzzy space. In this approach, a discrete area spectrum for the black hole, which becomes increasingly spaced as the black hole approaches the Planck scale, is obtained. We show that, as a consequence of this, the black hole radiation becomes less and less entropic as the black hole evaporates, in a way that some information about its initial state could be recovered.

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C. A. S. Silva, R. R. Landim. 2010-04-08. A note on black hole entropy, area spectrum, and evaporation. https://doi.org/10.1209/0295-5075%2F96%2F10007

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