Using Hermitian elements of J3(OC) and cubic ladders for mass ratios as inputs, the paper constructs an effective bridge ansatz for two-generation mixing, deriving the local phase law φ12=-2χ in the quark sector with a fitted effective Cabibbo phase of ~105.7°.
Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We continue the study undertaken in \cite{DV} of the exceptional Jordan algebra $J = J_3^8$ as (part of) the finite-dimensional quantum algebra in an almost classical space-time approach to particle physics. Along with reviewing known properties of $J$ and of the associated exceptional Lie groups we argue that the symmetry of the model can be deduced from the Borel-de Siebenthal theory of maximal connected subgroups of simple compact Lie groups.
verdicts
UNVERDICTED 3representative 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.
The residual 288 in the E₈×ωE₈ program is scaffolding labels not particles, with the bifermionic Lagrangian yielding sterile neutrinos and a second composite scalar.
citing papers explorer
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Fermion Mixing Matrices and the Exceptional Jordan Algebra
Using Hermitian elements of J3(OC) and cubic ladders for mass ratios as inputs, the paper constructs an effective bridge ansatz for two-generation mixing, deriving the local phase law φ12=-2χ in the quark sector with a fitted effective Cabibbo phase of ~105.7°.
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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.
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The Residual $288$ of the $E_8\times\omega E_8$ Program as Adjoint-Lineage Scaffolding Labels: an Ontology, and the Status of the Bifermionic Lagrangian
The residual 288 in the E₈×ωE₈ program is scaffolding labels not particles, with the bifermionic Lagrangian yielding sterile neutrinos and a second composite scalar.