Free quantum motion exactly equals sub-quantum ballistic diffusion

Gerhard Grössing, Siegfried Fussy, J Mesa Pascasio, Herbert Schwabl

Published May 6, 2010• 0 citations

Abstract

By modelling quantum systems as emerging from a (classical) sub-quantum thermodynamics, the quantum mechanical decay of the wave 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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