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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 (CC BY 3.0).
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Mäkelä, J. Partition Function of the Schwarzschild Black Hole. Entropy 2011, 13, 1324-1354.

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