Elements of sub-quantum thermodynamics: quantum motion as ballistic diffusion

Details Elements of sub-quantum thermodynamics: quantum motion as ballistic diffusion Elements of sub-quantum thermodynamics: quantum motion as ballistic diffusion

2010-05-06

arxiv.org/abs/1005.1058v2

J. Phys.: Conf. Ser. (2011) 306 012046

Physics

General Physics

21 pages, 2 figures; based on the talk at the Fifth International Workshop DICE2010, Castiglioncello (Tuscany), September 13--

Scientific paper

10.1088/1742-6596/306/1/012046

By modelling quantum systems as emerging from a (classical) sub-quantum thermodynamics, the quantum mechanical "decay of the wave packet" is shown to simply result from sub-quantum diffusion with a specific diffusion coefficient varying in time due to a particle's changing thermal environment. It is thereby proven that free quantum motion strictly equals ballistic diffusion. The exact quantum mechanical trajectory distributions and the velocity field of the Gaussian wave packet are thus derived solely from classical physics. Moreover, also quantum motion in a linear (e.g., gravitational) potential is shown to equal said ballistic diffusion. Quantitative statements on the trajectories' characteristic behaviours are obtained which provide a detailed "micro-causal" explanation in full accordance with momentum conservation.

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