# A Geometric Approach to the Standard Model, Greg Trayling

1. Nov 30, 2005

### CarlB

A Geometric Approach to the Standard Model
Greg Trayling, Dept of Phys, U. Windsor, Windsor, Ontario
A geometric approach to the standard model of the Clifford algebra $$\mathcal{CL}_7$$ is advanced. The gauge symmetries and charge assignments of the fundamental fermions are seen to arise from a simple geometric model involving extra space-like dimensions. The bare coupling constants are found to obey $$g_s/g = g'/g = \sqrt{3/5}$$ consistent with $$SU(5)$$ grand unification but without invoking the notion of master groups. In constructing the Lagrangian density terms, it is found that the Higgs isodoublet field emerges in a natural manner. A matrix representation of $$\mathcal{CL}_7$$ is included as a computational aid.
http://www.arxiv.org/abs/hep-th/9912231

Also see:

A geometric basis for the standard-model gauge group
Greg Trayling, W. E. Baylis
Accepted for publication: J. Phys. A: Math. Gen. 9 Mar 2001
http://www.arxiv.org/abs/hep-th/0103137

I just found these obscure articles. My own attempts at rewriting the standard model are similar, except that I'm using preons and consequently don't need only one "extra space-like" dimension instead of the 4 used here.

Articles that cite the published article by Trayling and Baylis:
http://www.arxiv.org/abs/hep-th/0501222
http://www.arxiv.org/abs/hep-th/0412255
http://www.arxiv.org/abs/hep-th/0311045
http://www.arxiv.org/abs/gr-qc/0212041
http://www.arxiv.org/abs/hep-th/0203122

Carl