Mathematical physics of the generalized monopole without string

In this paper we present a theory of the generalized magnetic monopole without string, which is distinct from Dirac's original theory and distinct from the topological theory of the monopole. Our theory is first formulated in the Clifford bundle formalism; and in the particular case of electrodynamics we deduce from Maxwell equations the generalized Lorentz force and the equations of motion of charges and monopoles. We discuss the conservation laws and the problem of the Lagrangian formalism. We obtain Dirac quantization condition in two different ways. Finally, we present a principal fiber bundle formulation of our theory using the spliced-bundle concept with gauge group GxG, where G is the gauge group of the theory without monopoles.