rho_bar = 1/(2*pi): omega-Period Structural Derivation (tau-effective)
Tau-effective: rho_bar = 1/(2*pi) = 0.15915 at +974.5 ppm from PDG rho_bar = 0.1590. Structural derivation: the omega-sector (Higgs mode) holonomy on tau^1 has period 2*pi in its phase coordinate. rho_bar is the fractional holonomy angle per generation step, normalized to [0,1].
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: IV.T164
- Type: theorem
- Scope: tau-effective
- Lean status: formalized
- Book / part / chapter: Book IV · Part 5 · Chapter 36
Result summary
Tau-effective: rho_bar = 1/(2pi) = 0.15915 at +974.5 ppm from PDG rho_bar = 0.1590. Structural derivation: the omega-sector (Higgs mode) holonomy on tau^1 has period 2pi in its phase coordinate. rho_bar is the fractional holonomy angle per generation step, normalized to [0,1]. Since the full period is 2pi, the per-step fraction = 1/(2pi). This directly connects the Wolfenstein CP parameter to the omega-sector crossing structure. Upgrades IV.P190 from proposition to theorem with structural derivation.
Related Results surfaces
- Mixed Sector (Higgs/EW) Coupling κ(ω)
- Higgs Boson Mass Prediction at +8.0 ppm
- Higgs Self-Coupling λ_H = 0.12928 at +16 ppm
- Higgs Boson Mass (n = 7)
- A = 1 - (3/2)*iota_tau^2 at -887 ppm from PDG 0.826 (tau-effective)
- Higgs n=7 Formula at +8.0 ppm from PDG 125.20 GeV (tau-effective)
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: higgs
- result-facing terms: derivation
- candidate is better handled as evidence for an inferred existing public surface
Review notes
- No additional review notes recorded.