On the Black Hole's Thermodynamics and the Entropic Origin of Gravity

TL;DR

This paper explores black hole thermodynamics through classical thermodynamic principles, showing that gravitational dynamics alone cannot confirm the entropic origin of gravity, as results are reversible.

Contribution

It demonstrates that classical thermodynamics of black holes reproduces known results but does not support the entropic gravity hypothesis.

Findings

Classical thermodynamics reproduces black hole entropy and temperature.

Results suggest gravitational dynamics can be interpreted reversibly.

No conclusive evidence for the entropic origin of gravity.

Abstract

The Schwarzschild's black hole dynamics in presence of gravity is described on using the thermodynamic equations of state for contractile materials. Its entropy and temperature, obtained by using classical principles, reproduce the results derived from quantum field theories and statistical mechanics. The given results show that, by using the gravitational dynamics to reproduce the thermodynamic equation TdS/dx = Fgravity, there is no way to establish the entropic origin of gravity, because the results can be seen the other way around.