• Submit to Entropy Login Register
• MDPI
• Journals A-Z
• For Authors
• For Editors
• About
• Open Access Policy

• Abstract
• Full-Text PDF [100 KB]

• Article Statistics
• Google Scholar
• Order Reprints

• Cite this article
• Export to BibTeX
• Export to EndNote

• [+] on DOAJ
• Shankaranarayanan, S
• [+] on Google Scholar
• Shankaranarayanan, S
• [+] on PubMed
• Shankaranarayanan, S

•  CiteULike
•  Facebook
•  Mendeley
•  Twitter

This article is

• freely available
• re-usable

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

Article

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

S. Shankaranarayanan

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

(This article belongs to the Special Issue Entropy in Quantum Gravity)

Download PDF Full-Text [100 KB, uploaded 24 December 2010 10:27 CET]

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

Article Statistics

Cite This Article