Majorana CP Phases from sigma=C_tau Constraint: phi_2 = 0
Analytic result from sigma=C_tau involution: The sigma-odd eigenstate [1,0,-1]/sqrt(2) is the charge-conjugation eigenstate with lambda=-1. For a Majorana fermion psi=C*psibar, the phase constraint e^{i*alpha}=e^{-i*alpha} requires alpha=0 or pi. Since sigma-odd = nu_middle (in n
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.T176
- Type: theorem
- Scope: tau-effective
- Lean status: formalized
- Book / part / chapter: Book V · Part 5 · Chapter 35
Result summary
Analytic result from sigma=C_tau involution: The sigma-odd eigenstate [1,0,-1]/sqrt(2) is the charge-conjugation eigenstate with lambda=-1. For a Majorana fermion psi=Cpsibar, the phase constraint e^{ialpha}=e^{-i*alpha} requires alpha=0 or pi. Since sigma-odd = nu_middle (in normal ordering, proven V.P127), phi_Majorana(nu_2)=0. The sigma-even eigenstates phi_1, phi_3 are unconstrained by sigma alone and require full PMNS determination.
Related Results surfaces
- No existing public Results surface is linked yet; this record is promoted as a standalone Registry-backed result.
Reading role
Read as a standalone Registry-backed noteworthy result.
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: alpha
- theorem/proposition-class item appears externally legible enough for standalone review
Review notes
- No additional review notes recorded.