Leptons, Quarks, and Gauge from the Complex Clifford Algebra $$\mathbb {C}\ell _6$$Cℓ6

  title={Leptons, Quarks, and Gauge from the Complex Clifford Algebra \$\$\mathbb \{C\}\ell \_6\$\$Cℓ6},
  author={Ovidiu Cristinel Stoica},
  journal={Advances in Applied Clifford Algebras},
  • O. Stoica
  • Published 5 May 2018
  • Mathematics
  • Advances in Applied Clifford Algebras
A simple geometric algebra is shown to contain automatically the leptons and quarks of a family of the Standard Model, and the electroweak and color gauge symmetries, without predicting extra particles and symmetries. The algebra is already naturally present in the Standard Model, in two instances of the Clifford algebra $$\mathbb {C}\ell _6$$Cℓ6, one being algebraically generated by the Dirac algebra and the weak symmetry generators, and the other by a complex three-dimensional representation… Expand
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