We demonstrate that in a Kaluza-Klein space-time V4⊗ S1⊗ S3, the dimensional reduction of spinors provides a 4-field, whose associated SU(2) gauge connections are geometrized. However, additional and gauge-violating terms arise, but they are highly suppressed by a factor β, which fixes the amount of the spinor dependence on extra-coordinates. The application of this framework to the Electroweak Model is performed, thus giving a lower bound for β due to electric charge conservation. We emphasize that the Higgs sector can be reproduced also, but neutrino masses are predicted and the fine-tuning on the Higgs parameters can additionally be explained. © 2008 World Scientific Publishing Company.
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- Astronomy and Astrophysics
- Space and Planetary Science