Black Hole Thermodynamics, Casimir Effect and Induced Gravity

Abstract

An analogy between the subtraction procedure in the Gibbons-Hawking Euclidean path integral approach to Horizon's Thermodynamics and the Casimir effect is shown. Then a conjecture about a possible Casimir nature of the Gibbons-Hawking subtraction is made in the framework of Sakharov's induced gravity. In this framework it appears that the degrees of freedom involved in the Bekenstein-Hawking entropy are naturally identified with zero--point modes of the matter fields. Some consequences of this view are sketched.

7 pages, RevTex

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