Bound states and the Bekenstein bound

Details Bound states and the Bekenstein bound Bound states and the Bekenstein bound

2003-10-16

arxiv.org/abs/hep-th/0310148v1

JHEP 0402 (2004) 025

Physics

High Energy Physics

High Energy Physics - Theory

35 pages

Scientific paper

10.1088/1126-6708/2004/02/025

We explore the validity of the generalized Bekenstein bound, S <= pi M a. We define the entropy S as the logarithm of the number of states which have energy eigenvalue below M and are localized to a flat space region of width a. If boundary conditions that localize field modes are imposed by fiat, then the bound encounters well-known difficulties with negative Casimir energy and large species number, as well as novel problems arising only in the generalized form. In realistic systems, however, finite-size effects contribute additional energy. We study two different models for estimating such contributions. Our analysis suggests that the bound is both valid and nontrivial if interactions are properly included, so that the entropy S counts the bound states of interacting fields.

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