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Corrections to Bekenstein-Hawking Entropy— Quantum or not-so Quantum?
School of Physics, Indian Institute of Science Education and Research, CET Campus, Trivandrum 695016, India
Received: 22 November 2010; in revised form: 20 December 2010 / Accepted: 22 December 2010 / Published: 24 December 2010
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
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Shankaranarayanan, S. Corrections to Bekenstein-Hawking Entropy— Quantum or not-so Quantum? Entropy 2011, 13, 11-16.
Shankaranarayanan S. Corrections to Bekenstein-Hawking Entropy— Quantum or not-so Quantum? Entropy. 2011; 13(1):11-16.
Shankaranarayanan, S. 2011. "Corrections to Bekenstein-Hawking Entropy— Quantum or not-so Quantum?" Entropy 13, no. 1: 11-16.