Statistical Origin of Gravity

TL;DR

This paper derives a statistical mechanics-based explanation for gravity, showing that black hole entropy relates to gravitational action and energy, aligning with known thermodynamic formulas.

Contribution

It establishes a direct proportionality between entropy and gravity action, linking statistical mechanics to gravitational thermodynamics and black hole energy relations.

Findings

Entropy is proportional to the gravity action.

Black hole entropy relates to Komar energy and Hawking temperature.

The relation aligns with the Smarr formula for mass.

Abstract

Starting from the definition of entropy used in statistical mechanics we show that it is proportional to the gravity action. For a stationary black hole this entropy is expressed as $S = E/ 2T$, where $T$ is the Hawking temperature and $E$ is shown to be the Komar energy. This relation is also compatible with the generalised Smarr formula for mass.