On a heuristic point of view concerning the motion of matter. From random metric to Schroedinger equation
arXiv:quant-ph/0510059 · doi:10.1016/j.physleta.2005.11.039
Abstract
The motion of a particle is studied in a random space-time. It is assumed that the velocity is small enough for the non-relativistic approximation to be valid. The randomness of the metric induces a diffusion in coordinate space. Hence it is shown that the evolution of the probability density is given by Schroedinger equation.
13 pages, minor changes, publication reference given
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