A Geometric Approach to the Standard Model

1999/12/22 by Greg Trayling, Trayling, Greg · 1 citation
Mathematics · Physics and Astronomy · Social Sciences · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #International Science and Diplomacy #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9912231

14 pages, 4 tables

arxiv created 1999/12/22 · openalex publication_date 1999/12/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 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=1 and g^′/g=√(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 % Cℓ₇ is included as a computational aid.

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• Clifford bundle formulation of BF gravity generalized to the standard model

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