Year: 2007
Type: preprint
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 $S/E$.
Source: arXiv (Cornell University)
Author: Correa-Borbonet, L. Alejandro
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2164979504