  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.
