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°.
The Exceptional Jordan Eigenvalue Problem
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We discuss the eigenvalue problem for 3x3 octonionic Hermitian matrices which is relevant to the Jordan formulation of quantum mechanics. In contrast to the eigenvalue problems considered in our previous work, all eigenvalues are real and solve the usual characteristic equation. We give an elementary construction of the corresponding eigenmatrices, and we further speculate on a possible application to particle physics.
fields
hep-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Phenomenological deformation of an exceptional-Jordan framework that fits hierarchy exponent and normalizations to six charged-fermion mass ratios at MZ, yielding power-law relations while accommodating neutrino orderings.
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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Fermion Mass Hierarchies and the Exceptional Jordan Algebra
Phenomenological deformation of an exceptional-Jordan framework that fits hierarchy exponent and normalizations to six charged-fermion mass ratios at MZ, yielding power-law relations while accommodating neutrino orderings.