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Partition Function of the Schwarzschild Black Hole
Vaasa University of Applied Sciences, Wolffintie 30, 65200 Vaasa, Finland
Received: 23 May 2011; in revised form: 8 July 2011 / Accepted: 13 July 2011 / Published: 19 July 2011
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
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Cite This Article
MDPI and ACS Style
Mäkelä, J. Partition Function of the Schwarzschild Black Hole. Entropy 2011, 13, 1324-1354.
Mäkelä J. Partition Function of the Schwarzschild Black Hole. Entropy. 2011; 13(7):1324-1354.
Mäkelä, Jarmo. 2011. "Partition Function of the Schwarzschild Black Hole." Entropy 13, no. 7: 1324-1354.