Real Feynman-like stochastic paths in the Bohm-Vigier causal-stochastic model of quantum mechanics

Abstract

Starting from the Bohm-Vigier causal-stochastic model of quantum mechanics, we show that the quantum particles follow real Feynman-like stochastic trajectories (with positive probability weights) in a surrounding ♆-field. Various notions of probable paths are introduced. It is shown that the de Broglie-Bohm trajectories result from an averaging of the forward and backward most probable transition paths over the four-dimensional fluid elements.