Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-03-13
Phys.Rev. D61 (2000) 064017
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 pages, PHYZZX macros. The counting of physical states has been corrected. Revised version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.61.064017
The canonical quantization of a Schwarzschild black hole yields a picture of the black hole that is shown to be equivalent to a collection of oscillators whose density of levels is commensurate with that of the statistical bootstrap model. Energy eigenstates of definite parity exhibit the Bekenstein mass spectrum, $M \sim \sqrt{\cal N} M_p$, where ${\cal N} \in {\bf N}$. From the microcanonical ensemble, we derive the statistical entropy of the black hole by explicitly counting the microstates corresponding to a macrostate of fixed total energy.
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