Division Algebras: 26 Dimensions; 3 Families

Geoffrey Dixon

Division Algebras: 26 Dimensions; 3 Families

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arxiv hep-th/9902016 v1 pith:ORCTN3YX submitted 1999-02-01 hep-th

Geoffrey Dixon This is my paper · ORCID

classification hep-th

keywords algebrasdimensionaldivisionfamiliesleptoquarkspacetimedimensionsextended

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The link of the Division Algebras to 10-dimensional spacetime and one leptoquark family is extended to 26-dimensional spacetime and three leptoquark families.

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Embeddings of the Standard Model in $E_8$
hep-ph 2025-07 conditional novelty 5.0 of 10

A modified E8 model puts the Standard Model inside the so(7,3) subalgebra with compact SU(3), and uses particle coordinates in four dimensions to compute several mixing angles and mass relations.

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