Microscopic derivation of the Bekenstein-Hawking entropy for Schwarzschild black holes
Abstract
In this paper, we successfully derive the Bekenstein-Hawking entropy for Schwarzschild black holes in various dimensions by using a non-trivial phase space. It is appealing to notice that the thermodynamics of a Schwarzschild black hole actually behaves like that of a 1-dimensional quantum mechanical system. Our result suggests that black hole should be viewed as a system with the equation of state P=, and it also suggests that a holographic stage should exist in the early universe.
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