A single Cl(10) Clifford algebra with embedded S3 symmetry realizes three fermion generations matching Standard Model quantum numbers without gauge boson replication.
On Jordan–Clifford Algebras, Three Fermion Generations with Higgs Fields and aSU(3)×SU(2) L×SU(2) R ×U(1) Model.Advances in Applied Clifford Algebras, 31(3):1–18, 2021
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Electroweak Structure and Three Fermion Generations in Clifford Algebra with S3 Family Symmetry
A single Cl(10) Clifford algebra with embedded S3 symmetry realizes three fermion generations matching Standard Model quantum numbers without gauge boson replication.