On the "Universal" Quantum Area Spectrum

Abstract

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.

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

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Cited by in corpus (24)

• Black Hole Thermodynamics
• Area spectra of the rotating BTZ black hole from quasinormal modes
• Stability Analysis and Area Spectrum of 3-Dimensional Lifshitz Black Holes
• Entropy/Area spectra of the charged black hole from quasinormal modes
• Thermodynamics and Spectroscopy of Schwarzschild black hole surrounded by Quintessence
• Area spectrum of the D-dimensional de Sitter spacetime
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• A Note on the Lower Bound of Black Hole Area Change in Tunneling Formalism
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• Area spectra versus entropy spectra in black holes in topologically massive gravity
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• The Wald entropy formula and loop quantum gravity
• Bouncing universe from a modified dispersion relation
• Quasi-normal modes, area spectra and multi-horizon spacetimes
• Entropy spectra of single horizon black holes in two dimensions
• Yet More on the Universal Quantum Area Spectrum
• Black hole motion in Euclidean space as a diffusion process
• Central charge
• Density matrix of radiation of black hole with fluctuating horizon
• Quantization of horizon entropy and the thermodynamics of spacetime
• The entropy and mean separation between energy levels of black hole