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Toward the New Gravitational Noncommutative Mechanics and Statistical Mechanics of Quantum Black Holes

P. O. Mazur
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Abstract

This is a short account of our work on the statistical mechanics of `cold' quantum black holes in the constituent model of a black hole$^{3,4,6}$. A quantum Schwarzschild black hole consists of gravitational atoms of Planckian mass scale$^{3,4,6}$. The gapless collective excitations of a bound state of N gravitational atoms dominate the thermodynamics of a cold quantum black hole. It turns out that it is only in the limit of large $N$, with the observable mean values of the gravitational mass-energy kept fixed, that we recover the Bekenstein thermodynamics$^1$ of spin-zero black holes. This is also the limit of the Boltzmann statistics.

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P. O. Mazur. 1998-01-12. Toward the New Gravitational Noncommutative Mechanics and Statistical Mechanics of Quantum Black Holes. https://arxiv.org/abs/hep-th/9801068

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