The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics

Abstract

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.

39 pages; sign error in equ. (3.2.29) now corrected

References in corpus (8)

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• Machian Origin of the Entropic Gravity and Cosmic Acceleration
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• Thermodynamic Gravity and the Schrodinger Equation
• Quantization from an exponential distribution of infinitesimal action
• Implications of a deeper level explanation of the deBroglie-Bohm version of quantum mechanics
• Black Hole Information Problem and Wave Bursts
• "Systemic Nonlocality" from Changing Constraints on Sub-Quantum Kinematics
• Extreme beam attenuation in double-slit experiments: Quantum and subquantum scenarios
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• Possible corrections to quantum mechanical predictions in hidden variable model
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• Modeling double slit interference via anomalous diffusion: independently variable slit widths
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• Remarks on osmosis, quantum mechanics, and gravity
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• An entropic picture of emergent quantum mechanics
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• Conditions for Lorentz-invariant superluminal information transfer without signaling
• Supporting Abstract Relational Space-Time as Fundamental without Doctrinism against Emergence
• Understanding quantization: a hidden variable model
• Entropic Dynamics: Mechanics without Mechanism
• Epistemic uncertainty from an averaged Hamilton-Jacobi formalism