Fundamental quark, lepton correspondence and dynamics with weak decay interactions

A nonlinear fermion-field equation of motion and its (in principle) exact solutions, making use of the previously developed technique of infinite component free spinor fields, are discussed. It is shown to be essential for the existence of the solutions to introduce the isosymmetry breaking mechanism by coupling the isospin polarization of the domain of the universe of such particle fields to the field isospin. The essential trigger for the isosymmetry breaking mechanism is the existence of the electromagnetic interaction and the photon fields, carrying an infinite range isospin polarization change in the domain. A quartet of proton, neutron, lambda and charmed quark field solutions, with their respective characteristic Regge trajectories and primary isospin quantum numbers, and a quartet of lepton fields electron neutrino, electron, muon, muon nutrino, are shown to emerge naturally. The equations of motion of the quark and lepton propagators are deduced. The complicated charge nature of the quarks and the need for quark confinement is discussed and a correspondence principle is established between the quark and lepton field solutions. The correspondence is such that the dynamics of the leptons on their own appears to be compatible with quantum electrodynamics on the one hand, and on the other hand permits a natural GIM-Cabibbo weak decay interaction with a Cibibbo angle equal to the domain isospin polarization-change phase angle