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.
The Exceptional Jordan Eigenvalue Problem
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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.
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2026 1verdicts
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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.