Fluid Dynamics and Entropic Gravity

TL;DR

This paper presents a novel derivation of general relativity based on thermodynamics and fluid dynamics principles, extending Jacobson's entropic gravity approach by incorporating the Damour-Navier-Stokes equation.

Contribution

It introduces a new entropic gravity derivation of Einstein's equations using thermodynamics and fluid dynamics, expanding upon previous work by integrating the Damour-Navier-Stokes equation.

Findings

Derivation of Einstein's equations from thermodynamics and fluid dynamics.

Extension of Jacobson's approach with the Damour-Navier-Stokes equation.

Unified thermodynamic and fluid dynamic perspective on gravity.

Abstract

A new entropic gravity inspired derivation of general relativity from thermodynamics is presented. This generalizes, within Einstein gravity, the "Thermodynamics of Spacetime" approach by T. Jacobson, which relies on the Raychaudhuri evolution equation. Here the rest of the first law of thermodynamics is incorporated by using the Damour-Navier-Stokes equation, known from the membrane paradigm for describing fluid dynamics on the horizon.