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Thermodynamic Gravity and the Schrödinger Equation

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Abstract

We adopt a formulation of the Mach principle that the rest mass of a particle is a measure of it’s long-range collective interactions with all other particles inside the horizon. As a consequence, all particles in the universe form a ‘gravitationally entangled’ statistical ensemble and one can apply the approach of classical statistical mechanics to it. It is shown that both the Schrödinger 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.

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Authors and Affiliations

  1. Andronikashvili Institute of Physics, 6 Tamarashvili Street, Tbilisi, 0177, Georgia

    Merab Gogberashvili

  2. Javakhishvili State University, 3 Chavchavadze Avenue, Tbilisi, 0128, Georgia

    Merab Gogberashvili

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  1. Merab Gogberashvili
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Correspondence to Merab Gogberashvili.

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Gogberashvili, M. Thermodynamic Gravity and the Schrödinger Equation. Int J Theor Phys 50, 2391–2402 (2011). https://doi.org/10.1007/s10773-011-0727-9

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  • DOI: https://doi.org/10.1007/s10773-011-0727-9

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