To form the basis spin states of a field, vector states of the multicomponent wave function to the four coordinates of Minkowski space that determine the position of the local observer have been added by angular extra dimensions that determine the orientation of the local observer. The generators of the Poincare group in the angular representation have been obtained. The Dirac equation (generalized for any spin) and Maxwell’s equation have been designed from these generators. In the framework of transformations of the Lorentz group in angular representation united with its transpose representation, the transformations of the (generalized) Dirac equations that is similar to the Heaviside-Larmor transformations for Maxwell’s equations have been performed. As a result, the Dirac equation for the Dirac monopole, which corresponds to a particle with mirror symmetry have been obtained. Indication of a low probability of the existence of the Dirac monopole had been obtained.
Key words: Spinor representation of the Poincare group, seve¬n dimensions of space-time, mirror symmetry.