On the "Universal" Quantum Area Spectrum

Details On the "Universal" Quantum Area Spectrum On the "Universal" Quantum Area Spectrum

2009-06-15

arxiv.org/abs/0906.2641v2

Mod.Phys.Lett.A24:2601-2609,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 Pages; (v2) now 9 full pages, significant changes to the text and material added but the general theme and conclusions are u

Scientific paper

10.1142/S0217732309031922

There has been much debate over the form of the quantum area spectrum for a black hole horizon, with the evenly spaced conception of Bekenstein having featured prominently in the discourse. In this letter, we refine a very recently proposed method for calibrating the Bekenstein form of the spectrum. Our refined treatment predicts, as did its predecessor, a uniform spacing between adjacent spectral levels of $8\pi$ in Planck units; notably, an outcome that already has a pedigree as a proposed ``universal'' value for this intrinsically quantum-gravitational measure. Although the two approaches are somewhat similar in logic and quite agreeable in outcome, we argue that our version is conceptually more elegant and formally simpler than its precursor. Moreover, our rendition is able to circumvent a couple of previously unnoticed technical issues and, as an added bonus, translates to generic theories of gravity in a very direct manner.

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