Bekenstein Bound and Spectral Geometry

Details Bekenstein Bound and Spectral Geometry Bekenstein Bound and Spectral Geometry

2007-05-16

arxiv.org/abs/0705.2373v2

Physics

High Energy Physics

High Energy Physics - Theory

4 pages. References and few comments added

Scientific paper

In this letter it is proposed to study the Bekenstein's $\xi(4)$ 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 $\xi(4)$ 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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