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

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.

arXiv commentLatex file, uses mprocl.sty, 3pp., to be published in the Proceedings of the Eight Marcel Grossmann Meeting (World Scientific 1998)

References in corpus (1)

• Gravitation as a Many Body Problem

Cited by in corpus (1)

• Superfluid Picture for Rotating Space-Times