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A comment on black hole entropy or does nature abhor a logarithm?

A J M Medved

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There has been substantial interest, as of late, in the quantum-corrected form of the Bekenstein–Hawking black hole entropy. The consensus viewpoint is that the leading-order correction should be a logarithm of the horizon area; however, the value of the logarithmic prefactor remains a point of notable controversy. Very recently, Hod has employed statistical arguments that constrain this prefactor to be a non-negative integer. In the current paper, we invoke some independent considerations to argue that the 'best guess' for the prefactor might simply be zero. Significantly, this value complies with the prior prediction and, moreover, seems suggestive of some fundamental symmetry.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

MSC

82B30 Statistical thermodynamics (See also 80-XX)

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 1 (7 January 2005)

Received 8 August 2004, in final form 11 October 2004

Published 7 December 2004



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