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 $P=\rho$, and it also suggests that a holographic stage should exist in the early universe.

6 pages, no figures, references and note added

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Cited by in corpus (3)

• Running of effective dimension and cosmological entropy in early universe
• The holographic state of matter and its implications for quantum gravity
• A Statistical Derivation of Bekenstein-Hawking Entropy for Schwarzschild Black Holes