Quantum Motion as the Motion in the Integrable Weyl Space

Abstract

A new version of hidden variables theory founded on the generalisation of world's geometry is proposed. The quantum-mechanical motion as the motion in some "inner space", which has a structure of the integrable Weyl space is examined. Equations of motion for a quantum particle as well as equations for the quantum-mechanical field, "guiding" the particle, are deduced. The wave equation for quantum ensembles, the Born's interpretation of wave function and the "guiding equation" as consequences of proposed model are obtained.