Triplicity of Quarks and Leptons

Abstract

Quarks come in three colors and have electric charges in multiples of one-third. There are also three families of quarks and leptons. Whereas the first two properties can be understood in terms of unification symmetries such as SU(5), SO(10), or E_6, why there should only be three families remains a mystery. I propose how all three properties involving the number three are connected in a fivefold application of the gauge symmetry SU(3).

10 pages, including 2 figures

References in corpus (3)

• Plato's Fire and the Neutrino Mass Matrix
• Global Electroweak Fits and Gauge Coupling Unification
• Quarks and Leptons in a Hexagonal Chain

Cited by in corpus (16)

• Flavour physics of leptons and dipole moments
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• Tetrahedral Family Symmetry and the Neutrino Mixing Matrix
• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• Quark-lepton complementarity, neutrino and standard model data predict $({\theta }_{13}^{PMNS}=9_{-2}^{+1}{)}^{\circ }$
• Non-Abelian Discrete Flavor Symmetries
• Predictions from non trivial Quark-Lepton complementarity
• Alternative $[SU(3){]}^4$ Model of Leptonic Color and Dark Matter
• $[SU(2){]}^3$ Dark Matter
• Suppressing Proton Decay By Separating Quarks And Leptons
• Quark-Lepton Complementarity Predictions for ${\theta }_{23}^{pmns}$ and CP Violation
• The Lorentz Extension as Consequence of the Family Symmetry
• Hexagonal SU(3) Unification and its Manifestation at the TeV Scale
• Investigating the sterile neutrino parameters with QLC in 3 + 1 scenario
• New $[SU(3){]}^4$ Realization of Lepton/Dark Symmetry
• CP-Violation phase analysis via non-trivial correlation of quarks and leptons in 3+1 scenario