Date of Award


Publication Type

Doctoral Thesis

Degree Name





Baylis, W. E.


Physics, Elementary Particles and High Energy.




A geometric approach to the standard model in terms of the Clifford algebra Cℓ7 is advanced. The gauge symmetries and charge assignments of the fundamental fermions and the Higgs boson are seen to arise uniquely from a simple geometric model involving only four extra space-like dimensions. A key feature of the model is its use of double-sided operations on the algebraic spinors. Transformations separate naturally into left-sided or "exterior", and right-sided or "interior" types. The exterior transformations include those of the Poincare and SU(2) L groups, the interior ones include those of SU(3) C, and a unique double-sided form of transformation constitutes the U(1)Y group. The separation allows a nontrivial coupling of Poincare and isotopic symmetries within the restrictions of the Coleman-Mandula theorem. The four extra dimensions are also shown to form a natural basis for the Higgs isodoublet field.Dept. of Physics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis2000 .T725. Source: Dissertation Abstracts International, Volume: 62-10, Section: B, page: 4605. Adviser: William E. Baylis. Thesis (Ph.D.)--University of Windsor (Canada), 2000.