The present theory is closely related to Dirac's equation of the electron, but not to his magnetic monopole theory, except for his relation between electric and magnetic charge. The theory is based on the fact, that the massless Dirac equation admits a second electromagnetic coupling, deduced from a pseudo-scalar gauge invariance. The equation thus obtained has the symmetry laws of a massless leptonic, magnetic monopole, able to interact weakly. We give a more precise form of the Dirac relation between electric and magnetic charges and a quantum form of the Poincaré first integral. In the Weyl representation our equation splits into P-conjugated monopole and antimonopole equations with the correct electromagnetic coupling and opposite chiralities, predicted by P. Curie. Charge conjugated monopoles are symmetric in space and not in time (contrary to the electric particles) : an important fact for the vacuum polarization. Our monopole is a magnetically excited neutrino, which leads to experimental consequences. These monopoles are assumed to be produced by electromagnetic pulses or arcs, leading to nuclear transmutations and, for beta radioactive elements, a shortening of the life time and the emission of monopoles instead of neutrinos in a magnetic field. A corresponding discussion is given in section 15.
Introduction.The hypothesis of separated magnetic poles is very old. In the 2 nd volume of his famous Treatise of Electricity and Magnetism [1], devoted to Magnetism, Maxwell considered the existence of free magnetic charges as an evidence, just as the evidence of electric charges. He based the theory of magnetism on this hypothesis, and he reported that, as far back as 1785, Coulomb gave the experimental proof that the law of force of a magnetic charge is the same as the one of an electric charge : the well known Coulomb law . In his experiments, Coulomb took for a magnetic charge, the extremity of a thin magnetic rod. We quote only some papers on history : [2], [3], [4], later on, we shall restrict ourselves only to papers useful for our purpose. In the following we remain in the framework of electrodynamics, without including other monopoles such as the one of Dirac (which is independent of the equation of the electron) or the one of t'Hooft and Polyakov.Contrary to the tendency to assume that a monopole must be heavy, bosonic, with strong interactions, without any symmetry law, our monopole appears as a second application of the Dirac theory of the electron, based on a pseudo scalar gauge condition from which we deduce symmetry laws predicted by Pierre Curie. Contrary to other theories, our monopole is light, fermionic and interacting electromanetically and weakly. It may be considered as a magnetically excited neutrino.
The classical form of electromagnetic symmetries. The origin of the monopole.In his paper, Symmetry in Physical Phenomena [5], Pierre Curie put forward the constructive role of symmetry in physics. Generalizing the cristallographic groups, he defined the invariance groups of limited objects i...