Gravitation and Thermodynamics: The Einstein Equation of State Revisited
Jarmo Makela, Ari Peltola

TL;DR
This paper revisits the derivation of Einstein's field equations using straightforward thermodynamical arguments centered on the properties of a small, accelerating spacelike two-plane.
Contribution
It provides a simplified thermodynamic derivation of Einstein's equations based on the behavior of a tiny accelerating two-plane.
Findings
Einstein's equations can be derived from thermodynamic principles.
The approach links gravity to thermodynamics through a small accelerating surface.
The derivation offers a new perspective on gravity as an equation of state.
Abstract
We perform an analysis where Einstein's field equation is derived by means of very simple thermodynamical arguments. Our derivation is based on a consideration of the properties of a very small, spacelike two-plane in a uniformly accelerating motion.
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