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Canonical Quantization and the Statistical Entropy of the Schwarzschild Black Hole

Cenalo Vaz
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Abstract

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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Cenalo Vaz. 1999-09-29. Canonical Quantization and the Statistical Entropy of the Schwarzschild Black Hole. https://doi.org/10.1103/physrevd.61.064017

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