Bekenstein Bound and Spectral Geometry
Abstract
In this letter it is proposed to study the Bekenstein's (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 (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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