A hydrodynamic interpretation of quantum mechanics via turbulence

Roumen Tsekov, Eyal Heifetz, Eliahu Cohen

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A stochastic Euler equation is proposed, describing the motion of 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 Fick’s law. Using the Madelung transformation, the Schrödinger equation is derived without any other assumptions.

Original languageEnglish
Pages (from-to)448-454
Number of pages7
JournalComptes Rendus de L'Academie Bulgare des Sciences
Issue number4
StatePublished - 2019

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  • Hydrodynamic interpretation
  • Quantum mechanics
  • Turbulence


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