Statistical Origin of Black Hole Entropy in Induced Gravity

TL;DR

This paper explores the statistical-mechanical basis of black hole entropy within induced gravity models, linking quantum field constituents to the Bekenstein-Hawking entropy through explicit relations.

Contribution

It establishes an explicit relation between the statistical entropy of quantum constituents and black hole entropy in induced gravity models.

Findings

Derived the Einstein action as a low energy limit of quantum fields.

Linked the induced gravitational constant to constituent masses.

Established a direct relation between constituent entropy and black hole entropy.

Abstract

The statistical-mechanical origin of the Bekenstein-Hawking entropy $S^{BH}$ in the induced gravity is discussed. In the framework of the induced gravity models the Einstein action arises as the low energy limit of the effective action of quantum fields. The induced gravitational constant is determined by the masses of the heavy constituents. We established the explicit relation between statistical entropy of constituent fields and black hole entropy $S^{BH}$.