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arXiv · 0705.2373

Bekenstein Bound and Spectral Geometry

L. Alejandro Correa-Borbonet
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Abstract

In this letter it is proposed to study the Bekenstein's $ξ(4)$ calculation of the $S/E$ bound for more general geometries. It is argued that, using some relations among eigenvalues obtained in the context of Spectral Geometry, it is possible to estimate $ξ(4)$ without an exact analytical knowledge of the spectrum. Finally it is claimed that isospectrality can define a class of domains with the same ratio $S/E$.

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L. Alejandro Correa-Borbonet. 2007-12-06. Bekenstein Bound and Spectral Geometry. https://arxiv.org/abs/0705.2373

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