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The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics

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arxiv 0711.4954 v2 pith:W2TZLA6L submitted 2007-11-30 quant-ph cond-mat.stat-mechphysics.hist-ph

classification quant-phcond-mat.stat-mechphysics.hist-ph
keywords equationexactnonequilibriumschroedingerenergyfluctuationonlyphysics
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By assuming that a particle of energy hbar.omega is actually a dissipative system maintained in a nonequilibrium steady state by a constant throughput of energy (heat flow), the exact Schroedinger equation is derived, both for conservative and nonconservative systems. Thereby, only universal properties of oscillators and nonequilibrium thermostatting are used, such that a maximal model independence of the hypothesised sub-quantum physics is guaranteed. It is claimed that this represents the shortest derivation of the Schroedinger equation from (modern) classical physics in the literature, and the only exact one, too. Moreover, a "vacuum fluctuation theorem" is presented, with particular emphasis on possible applications for a better understanding of quantum mechanical nonlocal effects.

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  1. The Entropic Dynamics approach to Quantum Mechanics

    quant-ph 2019-08 conditional novelty 5.0 of 10

    Requiring the entropic dynamics of a probability density and phase to preserve both symplectic and information-geometric structures yields the linear Schrödinger equation.

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