From Division-Algebra Towers to Quark and Lepton Flavor: CKM and PMNS from Corner Selection
From Division-Algebra Towers to Quark and Lepton Flavor: CKM and PMNS from Corner Selection
Two companion manuscripts presenting a structural approach to quark and lepton flavor mixing from division-algebra towers. "From Division-Algebra Towers to Quark Flavor Invariants: CKM from a Corner Selection" (33 pages) — derives the Cabibbo parameter λ = 1/(2√5) ≈ 0.2236, the hierarchy parameter A = √(2/3) ≈ 0.816, and the CP phase δ ≈ 64° from a vacuum idempotent and corner projector P₂ in C⊗H⊗O. "Lepton Mixing from Tower Geometry: A PMNS-Oriented Note" (8 pages) — extends the framework to leptons, showing that large PMNS mixing arises from a different orbit selection in the same axis+plane geometry. Key predictions:- λ = 1/(2√5) = 0.22361 (PDG: 0.22501 ± 0.00068)- A = √(2/3) = 0.8165 (PDG: 0.826)- δ = π/2 − 2θ_C ≈ 64.2° (PDG: 65.7° ± 1.5°) Associated code and numerical scripts available at DOI: 10.5281/zenodo.18364857 Tower Termination note at DOI : 10.5281/zenodo.18475872
octonions, CP violation, PMNS matrix, lepton mixing, CKM matrix, flavor physics, Cabibbo angle, CKM matrix, PMNS matrix, division algebras, octonions, flavor physics, Cabibbo angle, CP violation, quark mixing, lepton mixing, quark mixing, division algebras
octonions, CP violation, PMNS matrix, lepton mixing, CKM matrix, flavor physics, Cabibbo angle, CKM matrix, PMNS matrix, division algebras, octonions, flavor physics, Cabibbo angle, CP violation, quark mixing, lepton mixing, quark mixing, division algebras
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