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How love and hate in virtual particles generate Schr\"odinger dynamics

de la Torre, Carlos Alberto

Published May 16, 2015• 0 citations
OpenAlex

Abstract

Several stochastic processes with virtual particles in two dimensional space-time are presented whose mean field equations coincide with Schrodinger, Dirac, Klein-Gordon and the quantum mechanic equation for a photon. These processes could be used to detect discrete space-time features at the Planck scale.

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In support of the quantum field theory interpretation of quantum mechanics, stochastic processes with virtual particles whose mean field equations describe quantum dynamics are presented. Two type of virtual particles AAA and BBB with an asymmetric interaction such that AAA rejects (hates) BBB and BBB attracts (loves) AAA have a combined distribution that satisfies Schr\odinger equation. It is also shown how four virtual particles drifting, creating and destroying themselves have a combined distribution that satisfies Dirac equation. Finally, a non-markovian process that generates Klein-Gordon equation is given. However, markovian property is recovered if we postulate reversed causality.
An extended and more rigorous version of a recent proposal for an objective stochastic formulation of quantum mechanics along with its extension to the relativistic case without spin is presented. The relativistic Klein-Gordon equation is shown to be a particular form of the relativistic Kolmogorov-Fokker-Planck equation which is derived from a covariant formulation of the Chapman-Kolmogorov condition. Complexification of probability amplitudes is again achieved only through a conformal rotation of Minkowski space-time M 4 .