Quantum Motion as the Motion in the Integrable Weyl Space
  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. 
Alexander Rogachev