Geometrisation of quantum formalism

Abstract

We show that the Dirac equation can be rewritten as a relation describing the fundamental symmetry group of special topological manifold corresponding to the Dirac wave field. It leads to unification of the time-space and internal symmetries within one symmetry group. We suppose that nonelectromagnetic interactions appear within such approach as the deviations of the metrics from the euclidian form. The expression for the long-range part of "effective" nucleon-nucleon potential is derived using this assumption.