Results Registry Noteworthy Result Canonical physics Bashinsky-Seljak neutrino phase shift φ_ν = 0.191π × N_eff/(N_eff+15/4). For τ (N_eff=3): φ_ν = 0.0849π. For SM (N_eff=3.044): φ_ν = 0.0856π. Differential Δφ_ν = 0.00069π shifts peaks by Δℓ ≈ 0.21, below current sensitivity. Mass-dependent correction Δφ_mass ≈ f_ν×0.19π = 0.004 r
Results · Additional Noteworthy Results · Physics Related existing surface High confidence

Neutrino Phase Shift on CMB Peaks

Bashinsky-Seljak neutrino phase shift φ_ν = 0.191π × N_eff/(N_eff+15/4). For τ (N_eff=3): φ_ν = 0.0849π. For SM (N_eff=3.044): φ_ν = 0.0856π. Differential Δφ_ν = 0.00069π shifts peaks by Δℓ ≈ 0.21, below current sensitivity. Mass-dependent correction Δφ_mass ≈ f_ν×0.19π = 0.004 r

V.T194 Physics Book V tau-effective formalized

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.T194
  • Type: theorem
  • Scope: tau-effective
  • Lean status: formalized
  • Book / part / chapter: Book V · Part 6 · Chapter 56

Result summary

Bashinsky-Seljak neutrino phase shift φ_ν = 0.191π × N_eff/(N_eff+15/4). For τ (N_eff=3): φ_ν = 0.0849π. For SM (N_eff=3.044): φ_ν = 0.0856π. Differential Δφ_ν = 0.00069π shifts peaks by Δℓ ≈ 0.21, below current sensitivity. Mass-dependent correction Δφ_mass ≈ f_ν×0.19π = 0.004 rad is 1.4% of φ_ν. CMB-S4 sensitivity at ~1.5σ for the N_eff distinction.

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: cmb, mass, neutrino
  • candidate is better handled as evidence for an inferred existing public surface

Review notes

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