Authors: Giuliano Bettini
In a previous paper  we showed that the energy impulse four vector of the propagation of electromagnetic fields into a waveguide and in free space can be described by a Dirac spinor ψ . This suggest an analogy with for example TE-electron, TM-positron and possibly TEM-neutrino. Aim of this work is an interpretation of the action, if any, of the electroweak gauge group SU(2) ⊗ U(1) on the before mentioned e.m. fields (TE, TM, TEM modes). This is based on the following observation: the energy impulse four vector is invariant under a global transformation of SU(2) ⊗ U(1), so ψ can be "gauged" in order to verify the effect not only of the electromagnetic force but also of the weak forces. In other words, what are "weak forces", if any, on TE, TM and TEM? Obviously this requires "a modification of the Dirac equation to accomodate the larger gauge group" (Hestenes, ). This is in fact done here, and it is shown that the analogous of the "weak forces" can be roughly interpreted in the following way: the W boson acts as a horn antenna (receiving or transmitting), performing the transformation TEM ↔ TE, TM, giving or subtracting mass to the field; the Z0 boson is as a radar target acting on the TEM (neutrinos) with a doppler frequency. Those objects have a mathematical counterpart in gauge fields. No Higgs boson is needed in the theory.
Comments: 46 pages, V1 In Italian, V2 in English
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