A single Cl(10) Clifford algebra with embedded S3 symmetry realizes three fermion generations matching Standard Model quantum numbers without gauge boson replication.
Division Algebras; Spinors; Idempotents; The Algebraic Structure of Reality
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
A carefully constructed explanation of my connection of the real normed division algebras to the particles, charges and fields of the Standard Model of quarks and leptons provided to an interested group of attendees of the 2nd Mile High Conference on Nonassociative Mathematics in Denver in 2009.06.
representative citing papers
The Standard Model gauge group is characterized as a subgroup of Spin(10) via two suitably aligned commuting complex structures on R^10 encoded in orthogonal pure spinors whose sum is pure, described efficiently with octonions.
citing papers explorer
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Octonions, complex structures and Standard Model fermions
The Standard Model gauge group is characterized as a subgroup of Spin(10) via two suitably aligned commuting complex structures on R^10 encoded in orthogonal pure spinors whose sum is pure, described efficiently with octonions.
- A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra