Thermodynamic Gravity and the Schrodinger Equation
General Relativity and Quantum Cosmology
2013-12-13 v2 High Energy Physics - Theory
Quantum Physics
Abstract
We adopt a 'thermodynamical' formulation of Mach's principle that the rest mass of a particle in the Universe is a measure of its long-range collective interactions with all other particles inside the horizon. We consider all particles in the Universe as a 'gravitationally entangled' statistical ensemble and apply the approach of classical statistical mechanics to it. It is shown that both the Schrodinger equation and the Planck constant can be derived within this Machian model of the universe. The appearance of probabilities, complex wave functions, and quantization conditions is related to the discreetness and finiteness of the Machian ensemble.
Cite
@article{arxiv.1008.2544,
title = {Thermodynamic Gravity and the Schrodinger Equation},
author = {Merab Gogberashvili},
journal= {arXiv preprint arXiv:1008.2544},
year = {2013}
}
Comments
Minor corrections, the version accepted by Int. J. Theor. Phys