The unification of the strong and the electromagnetic interaction, SU(2) x U(1)

This note defines the fundamental dynamics and the symmetries emerging from the author's previous research of quarks and leptons. It discusses briefly the field equation of motion, its chiral and isosymmetry and general spin symmetry and the implementation of SU(2)xU(1) unification both for the strong and electromagnetic interactions and also for the weak and electromagnetic interactions, and it indicates how the solution breaks these symmetries. The role of particle families in this and for the discrete symmetries is introduced