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Entropy 2007, 9(3), 100-107; doi:10.3390/e9030100

Thermodynamics of Horizons from a Dual Quantum System

IUCAA, Post Bag 4, Ganeshkhind, Pune 411 007, India
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Received: 10 July 2007 / Accepted: 13 August 2007 / Published: 20 August 2007
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Abstract

It was shown recently that, in the case of Schwarschild black hole, one can obtainthe correct thermodynamic relations by studying a model quantum system and using a partic-ular duality transformation. We study this approach further for the case a general sphericallysymmetric horizon. We show that the idea works for a general case only if we define the en-tropy S as a congruence (“observer”) dependent quantity and the energy E as the integral overthe source of the gravitational acceleration for the congruence. In fact, in this case, one recov-ers the relation S = E/2T between entropy, energy and temperature previously proposed byone of us in gr-qc/0308070. This approach also enables us to calculate the quantum correc-tions of the Bekenstein-Hawking entropy formula for all spherically symmetric horizons.
Keywords: Thermodynamics; Dual Quantum System Thermodynamics; Dual Quantum System
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Sarkar, S.; Padmanabhan, T. Thermodynamics of Horizons from a Dual Quantum System. Entropy 2007, 9, 100-107.

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