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Thermodynamics of horizons from a dual quantum system

Sudipta Sarkar·T. Padmanabhan
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Abstract

It was shown recently that, in the case of Schwarschild black hole, one can obtain the correct thermodynamic relations by studying a model quantum system and using a particular duality transformation. We study this approach further for the case a general spherically symmetric horizon. We show that the idea works for a general case only if we define the entropy S as a congruence ("observer") dependent quantity and the energy E as the integral over the source of the gravitational acceleration for the congruence. In fact, in this case, one recovers the relation S=E/2T between entropy, energy and temperature previously proposed by one of us in gr-qc/0308070. This approach also enables us to calculate the quantum corrections of the Bekenstein-Hawking entropy formula for all spherically symmetric horizons.

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Sudipta Sarkar, T. Padmanabhan. 2006-07-11. Thermodynamics of horizons from a dual quantum system. https://doi.org/10.3390/e9030100

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