Chapter 10
The Electroweak Theory in STA: Global
Presentation
Abstract Since all the necessary equivalences between complex and real language
have been clarified, the electroweak theory may now be exposed only by means of
the use of the STA. This Section relates to the enumeration of the entities implied in
the theory.
Keywords Electron
·Neutrino ·Doublet ·Singlets ·Weinberg angle
10.1 General Approach
A presentation of the electroweak theory in STA has been achieved by Hestenes (see
[1–3]). Our approach, achieved quite independently, is different and longer because
we have used in fact a step by step translation of the standard presentation (see in
particular [4] and [5]) into the STA.
The presentation will only concern the leptonic part of the theory in the first
generation (electron and neutrino). The extension to the part of the theory which takes
into account the hadronic currents, associated with the quarks “strange” and “down”,
in the “mixture of Cabibbo”, and “up”, does not present additional difficulties (see
[4], p. 154–157).
As in [6], we have chosen to present the theory in the simplest form but with the
conservation of its fundamental features.
In particular we will not mention the role of entities as hypercharges, certainly
important, but they do not appear in the final results.
As explained in the Abstract we will simply present the theory with the use
of the STA. The agreement with the standard presentation will be insured by the
coincidence of the entities and equations independent of all galilean frame in the two
mathematical, complex and real, approaches.
R. Boudet, Quantum Mechanics in the Geometry of Space–Time,61
SpringerBriefs in Physics, DOI: 10.1007/978-3-642-19199-2_10,
© Roger Boudet 2011