PMNS Shared Eigenvector Structure: Identity from sigma-Polarity
Both neutrino and charged-lepton sigma-polarity matrices share the SAME eigenvector structure (sigma-symmetric tridiagonal form): v_sigma-odd=[1,0,-1]/sqrt(2), v_sigma-even determined by (a-c) and b. Therefore PMNS=V_l^dagger * V_nu approx identity from sigma-structure alone. Phy
What this page is
This is a public Results-lane surface for a noteworthy Physics Registry item. It is generated from the Corpus Registry triage catalogue and keeps the generic Result catalogue unchanged.
Registry evidence
- Registry item: V.T174
- Type: theorem
- Scope: conjectural
- Lean status: formalized
- Book / part / chapter: Book V · Part 5 · Chapter 35
Result summary
Both neutrino and charged-lepton sigma-polarity matrices share the SAME eigenvector structure (sigma-symmetric tridiagonal form): v_sigma-odd=[1,0,-1]/sqrt(2), v_sigma-even determined by (a-c) and b. Therefore PMNS=V_l^dagger * V_nu approx identity from sigma-structure alone. Physical interpretation: sigma-polarity structure generates mass eigenstates; flavor mixing (PMNS) requires additional A-sector rotation (Lobe1,Crossing,Lobe2)->(nu_e,nu_mu,nu_tau). If V_l=identity: theta13=9.85 (PDG 8.57, +15%), theta12=45.86 (PDG 33.4, fails), theta23=80.01 (PDG 42.0, fails). Full PMNS requires Sprint 5 A-sector rotation.
Related Results surfaces
Reading role
Use as Registry evidence for an existing Results surface.
Claim boundary
This page reports a Registry-backed internal result surface. It is not an external validation claim, a scientific consensus claim, or independent acceptance.
Curation rationale
- physics-facing terms: mass, neutrino, rotation
- candidate is better handled as evidence for an inferred existing public surface
Review notes
- No additional review notes recorded.