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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
* Author to whom correspondence should be addressed.
Received: 10 July 2007 / Accepted: 13 August 2007 / Published: 20 August 2007
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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) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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

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