On the Quantization of Electric and Magnetic Charges and Fluxes. Axiomatic Foundation of Non Integrable Phases. Two Natural Speeds Different from C

We present an axiomatic foundation of non-integrable phases of Schrödinger wave functions and use it for interpreting Dirac’s 1931 pioneering article in terms of the electromagnetic 4-potential. The quantization of the electric charge in terms of e implies the quantization of the dielectric flux through closed surfaces Ψ := D · dS in terms of the ‘Lagrangean’ dielectric flux quantum ΨD = e. The quantization of the analogous magnetic monopole charge in terms of g implies the quantization of the magnetic flux through closed surfaces Φ := B· dS in terms of the ‘Diracian’ magnetic induction flux quantum ΦB = g = h/e, and vice versa. Here, the question is raised, if the quantization of the magnetic charge (and hence field) in a given volume depends on the total electric charge in that volume. Furthermore, we have ΦB/ΨD = g/e = h/e2 = RK, the von Klitzing constant, the basic resistance of the quantum Hall effect. RK and the vacuum permittivity ε0 and permeability μ0 , respectively, combine to two natural speed constants different from that of light in vacuum c 1.