Geometrical presentation of elementary particle wave function

Abstract

This article presents a short review of a geometric approach to the theory of elementary particles which was proposed early. The wave function of particle, instead of the spinor representation, is given by the Clifford number, whose transfer rules have the structure of the Dirac equation for any manifold. The solution to this equation is obtained in terms of geometric characteristics. New experiments are proposed to show the geometric nature of the wave function of an elementary particle.