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Entropy Bounds in Spherical Space

Iver Brevik·Kimball A. Milton·Sergei D. Odintsov
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Abstract

Exact calculations are given for the Casimir energy for various fields in $R\times S^3$ geometry. The Green's function method naturally gives a result in a form convenient in the high-temperature limit, while the statistical mechanical approach gives a form appropriate for low temperatures. The equivalence of these two representations is demonstrated. Some discrepancies with previous work are noted. In no case, even for ${\cal N}=4$ SUSY, is the ratio of entropy to energy found to be bounded.

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Iver Brevik, Kimball A. Milton, Sergei D. Odintsov. 2002-10-29. Entropy Bounds in Spherical Space. https://arxiv.org/abs/hep-th/0210286

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