"Electroweak Forces" Acting on TE, TM & TEM

Abstract

We have shown previously that the energy impulse four-vector of the propagating electromagnetic field inside a waveguide and in free space can be described by a Dirac spinor. This suggests an analogy with, for example, TE-electron, TM-positron and possibly TEM-neutrino. The aim of this work is an interpretation of the action, if any, of the electroweak gauge group SU(2)xU(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)xU(1), so the Dirac spinor can be “gauged” in order to verify not only the effect of the electromagnetic forces but also 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 accommodate the larger gauge group. 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 (receiving or transmitting) horn antenna, performing the transformation TEM ←→ TE, TM, giving or subtracting mass to the field; the Z° boson is as a radar target acting on the TEM (neutrinos) with a Doppler frequency. These objects have mathematical counterparts in gauge fields. No Higgs boson is needed in the theory.