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On a heuristic point of view concerning the motion of matter. From random metric to Schroedinger equation

Emilio Santos
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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.

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Emilio Santos. 2006-02-21. On a heuristic point of view concerning the motion of matter. From random metric to Schroedinger equation. https://doi.org/10.1016/j.physleta.2005.11.039

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