Thermodynamic Gravity and the Schrodinger Equation

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.

Minor corrections, the version accepted by Int. J. Theor. Phys

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Cited by in corpus (8)

• Machian Origin of the Entropic Gravity and Cosmic Acceleration
• Unified Description of Classical and Quantum Behaviours in a Variational Principle
• Black Hole Information Problem and Wave Bursts
• Information-Probabilistic description of the Universe
• Cosmological parameters from the thermodynamic model of gravity
• Towards an information description of space-time
• Cosmological Constant from the Entropy Balance Condition
• Mach's principle and the origin of the quantum phenomenon