A Hydrodynamic Interpretation of Quantum Mechanics via Turbulence
Roumen Tsekov, Eyal Heifetz, Eliahu Cohen
TL;DR
This paper presents a hydrodynamic perspective on quantum mechanics by deriving the Schrödinger equation from a turbulence-inspired stochastic Euler equation, linking quantum behavior to turbulence phenomena.
Contribution
It introduces a novel stochastic Euler framework that, through turbulence concepts, derives the Schrödinger equation without additional assumptions.
Findings
Average pressure is nonlocal.
Turbulent flow magnitude follows Fick law.
Schrödinger equation derived from turbulence model.
Abstract
A stochastic Euler equation is proposed, describing the motion of a particle density, forced by the random action of virtual photons in vacuum. After time averaging, the Euler equation is reduced to the Reynolds equation, well studied in turbulent hydrodynamics. It is shown that the average pressure is nonlocal and the magnitude of the turbulent flow obeys the Fick law. Using the Madelung transformation, the Schrodinger equation is derived without any other assumptions.
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