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Entropy 2011, 13(7), 1324-1354; doi:10.3390/e13071324
Article

Partition Function of the Schwarzschild Black Hole

Vaasa University of Applied Sciences, Wolffintie 30, 65200 Vaasa, Finland
Received: 23 May 2011 / Revised: 8 July 2011 / Accepted: 13 July 2011 / Published: 19 July 2011
(This article belongs to the Special Issue Black Hole Thermodynamics)
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Abstract

We consider a microscopic model of a stretched horizon of the Schwarzschild black hole. In our model the stretched horizon consists of a finite number of discrete constituents. Assuming that the quantum states of the Schwarzschild black hole are encoded in the quantum states of the constituents of its stretched horizon in a certain manner we obtain an explicit, analytic expression for the partition function of the hole. Our partition function predicts, among other things, the Hawking effect, and provides it with a microscopic, statistical interpretation.
Keywords: constituents of spacetime; partition function; Hawking effect constituents of spacetime; partition function; Hawking effect
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Mäkelä, J. Partition Function of the Schwarzschild Black Hole. Entropy 2011, 13, 1324-1354.

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