## Electroweak Forces Acting on TE, TM, TEM.

**Authors:** Giuliano Bettini

In a previous paper [1] 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, [2]).
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 Z^{0} 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

**Download:** **PDF**

### Submission history

[v1] 30 Oct 2009

[v2] 6 Nov 2009

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