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Entropy 2011, 13(1), 11-16; doi:10.3390/e13010011

Corrections to Bekenstein-Hawking Entropy— Quantum or not-so Quantum?

Received: 22 November 2010 / Revised: 20 December 2010 / Accepted: 22 December 2010 / Published: 24 December 2010
(This article belongs to the Special Issue Entropy in Quantum Gravity)
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Abstract: Hawking radiation and Bekenstein-Hawking entropy are the two robust predictions of a yet unknown quantum theory of gravity. Any theory which fails to reproduce these predictions is certainly incorrect. While several approaches lead to Bekenstein-Hawking entropy, they all lead to different sub-leading corrections. In this article, we ask a question that is relevant for any approach: Using simple techniques, can we know whether an approach contains quantum or semi-classical degrees of freedom? Using naive dimensional analysis, we show that the semi-classical black-hole entropy has the same dimensional dependence as the gravity action. Among others, this provides a plausible explanation for the connection between Einstein’s equations and thermodynamic equation of state, and that the quantum corrections should have a different scaling behavior.
Keywords: black-holes; entanglement; Bekenstein-Hawking black-holes; entanglement; Bekenstein-Hawking
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Shankaranarayanan, S. Corrections to Bekenstein-Hawking Entropy— Quantum or not-so Quantum? Entropy 2011, 13, 11-16.

AMA Style

Shankaranarayanan S. Corrections to Bekenstein-Hawking Entropy— Quantum or not-so Quantum? Entropy. 2011; 13(1):11-16.

Chicago/Turabian Style

Shankaranarayanan, S. 2011. "Corrections to Bekenstein-Hawking Entropy— Quantum or not-so Quantum?" Entropy 13, no. 1: 11-16.

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