Physico mathematical approach to generalized monopoles without a string

A theory of the generalized magnetic monopole without string, which is distinct from Dirac's original theory and also distinct from the topological theory of the monopole is presented. This theory is first formulated in the Clifford bundle formalism; and in the particular case of electrodynamics it is deduced from Maxwell equations the generalized Lorentz force and the equations of motion of charges and monopoles. The conservation laws and the problem of Lagrangian formalism are discussed. Dirac quantization condition in two different ways are obtained. Finally a principal fiber formulation of the theory using the spliced bundle concept with gauge group GxG, where G is the gauge group of the theory without monopoles, is presented