Derivation of the Exact Schrödinger Equation

By assuming that a particle of energy 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.

Gerhard Groessing
The Vacuum Fluctuation Theorem: Exact Schrödinger Equation via Nonequilibrium Thermodynamics
Phys. Lett. A 372 (2008) 4556-4563.