A comment on black hole entropy or does nature abhor a logarithm? (English) Zbl 1060.83522

Summary: 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 nonnegative 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.


83C57 Black holes
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