Topology of the Standard Model, I: Fermions
Abstract
The Harari-Shupe model for fermions is extended to a topological model which contains an explanation for the observed fact that there are only three generations of fermions. Topological explanations are given for -decay and for proton decay predicted in supersymmetry and string theories. An explanation is given for the observed fact that the three generations of fermions have such similar properties. The concept of "color" is incorporated into the model in a topologically meaningful way. Conservation laws are defined and discussed in the context of the algebraic topology of the model, and preon number is proved to be linearly determined by charge, weak isospin, and color.
Keywords
Cite
@article{arxiv.1306.3617,
title = {Topology of the Standard Model, I: Fermions},
author = {Steve Gersten},
journal= {arXiv preprint arXiv:1306.3617},
year = {2015}
}
Comments
39 pages, 9 figures. A "disclaimer" has been added at the request of the editors of the journal to which the article has been submitted for publication. The new version of 12/26/2015 adds new appendices. One contains a more intuitive setting meant for those physicists who objected to the van Kampen diagrams of the original and another contains a geometric model for quantum entanglement