Black Hole Thermodynamics, Casimir Effect and Induced Gravity

TL;DR

The paper explores an analogy between horizon thermodynamics and the Casimir effect, proposing that the Gibbons-Hawking subtraction may have a Casimir origin within Sakharov's induced gravity, linking black hole entropy to zero-point modes.

Contribution

It introduces a conjecture that the Gibbons-Hawking subtraction has a Casimir nature, connecting black hole entropy to zero-point fluctuations in matter fields.

Findings

Analogy established between Gibbons-Hawking subtraction and Casimir effect.

Proposed that black hole entropy arises from zero-point modes.

Implications for understanding horizon thermodynamics 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.