>>13755999>Derivation of the Schrodinger Equation from Newtonian Mechanics*We examine the hypothesis that every particle of mass m is subject to a Brownian motion with diffusion
coefficient A/2' and no friction. The in6uence of an external field is expressed by means of Newton's law
F=dna, as in the Ornstein-Uhlenbeck theory of macroscopic Brownian motion with friction. The hypothesis
leads in a natural way to the Schrodinger equation, but the physical interpretation is entirely classical.
Particles have continuous trajectories and the wave function is not a complete description of the state.
Despite this opposition to quantum mechanics, an examination of the measurement process suggests that,
within a limited framework, the two theories are equivalent.
https://web.physics.utah.edu/~lebohec/ScaleRelativity/Papers/1966_ENelson_Derivation_of_SchrodEq_from_NewtMech.pdf 
