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

Entropy

关键词: black-holes;    entanglement;    Bekenstein-Hawking;   

DOI  :  10.3390/e13010011

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2010 by the authors; licensee MDPI, Basel, Switzerland.