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arXiv · 2006.15917

The Burgers equations and the Born rule

Dimiter Prodanov
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Abstract

The present work demonstrates the connections between the Burgers, diffusion, and Schroedinger's equations. The starting point is a formulation of the stochastic mechanics, which is modeled along the lines of the scale relativity theory. The resulting statistical description obeys the Fokker-Planck equation. This paper further demonstrates the connection between the two approaches, embodied by the study of the Burgers equation, which from this perspective appears as a stochastic geodesic equation. The main result of the article is the transparent derivation of the Born rule from the starting point of a complex stochastic process, based on a complex Fokker-Planck formalism.

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Dimiter Prodanov. 2020-06-29. The Burgers equations and the Born rule. https://doi.org/10.1016/j.chaos.2020.110637

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