Dirac-Proca-Maxwell equivalence of dyonic matter with quantum corrections for the quaternionic spinor fields

This research explores a novel approach to obtaining the dyonic Dirac-Proca-Maxwell fields within a single framework. Because Dirac fields are quantum fields for massive fermions, we construct quaternionic fields using a Dirac spinor basis to formulate quantum corrections for electric and magnetic field vectors, electromagnetic field equations, wave equations for scalar and vector potentials, continuity equations, and the propagation of electric and magnetic waves for massive dyons. The quaternionic form of the Dirac spinor fields is used to derive the quantum correction of the electromagnetic field energy of dyonic matter. It is demonstrated that the Maxwell equations for the classical electromagnetic field can be obtained from the quaternionic Dirac spinor fields by applying the quantum approximation condition. Therefore, the quaternionic quantum description of dyonic electromagnetic fields exhibits both wave and particle behaviour for the dynamics of matter particles.