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Hermitian Jordan Triple Systems, the Standard Model plus Gravity, and Alpha = 1/137.03608

F. D. T. Smith
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Abstract

A physical interpretation is given for some Hermitian Jordan triple systems (HJTS) that were recently discussed by Gunaydin (hep-th/9301050). Quadratic Jordan algebras derived from HJTS provide a formulation of quantum mechanics that is a natural framework within which exceptional structures are identified with physically realistic structures of a quantum field theory that includes both the standard model and MacDowell-Mansouri gravity. The structures allow the calculation of the relative strengths of the four forces, including the fine structure constant ALPHA = 1/137.03608.

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F. D. T. Smith. 1993-02-09. Hermitian Jordan Triple Systems, the Standard Model plus Gravity, and Alpha = 1/137.03608. https://arxiv.org/abs/hep-th/9302030

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