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arXiv · 1910.10678

Microscopic derivation of the Bekenstein-Hawking entropy for Schwarzschild black holes

Yong Xiao
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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 $P=ρ$, and it also suggests that a holographic stage should exist in the early universe.

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Yong Xiao. 2020-05-04. Microscopic derivation of the Bekenstein-Hawking entropy for Schwarzschild black holes. https://doi.org/10.1103/physrevd.101.046020

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