Division Algebras; Spinors; Idempotents; The Algebraic Structure of\n Reality

2010/12/06 by Geoffrey Dixon, Dixon, Geoffrey M · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Experimental and Theoretical Physics Studies #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1012.1304

openalex publication_date 2010/12/06 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

A carefully constructed explanation of my connection of the real normed\ndivision algebras to the particles, charges and fields of the Standard Model of\nquarks and leptons provided to an interested group of attendees of the 2nd Mile\nHigh Conference on Nonassociative Mathematics in Denver in 2009.06.\n

Cited by

• The Cℓ(8) algebra of three fermion generations with spin and full internal symmetries
• Embeddings of the Standard Model in E₈
• Nonassociative quantum theory, emergent probability, and coquasigroup symmetry

Related

• Division Algebras and Supersymmetry I
• Division algebras, Galois fields, quadratic residues
• Division Algebras, (1,9)-Space-Time, Matter-Antimatter Mixing
• Division Algebras: 26 Dimensions; 3 Families
• Standard model physics from an algebra?