A set of fully symmetric maxwellian equations is proposed, with a quantum mechanical coupling term between matter and fields. Its relativistic transformation properties and conservation laws are presented. Dual, monopole4ike solutions are described, which have properties consistent with those of the Dirac electron and magnetic monopole. The spatial extent of the monopole fields is proposed to be bound within two extreme radial limits rp and R0 such that a In (R0/rp) = 1, where a ~ 1/137 is the electromagnetic fine structure constant, yielding for the ratio R0/rp a very large number in the order of the ratio of the so-called universe radius to the Planck length.