Koide formula

Structural Challenge

This response is paired with its canonical Structural Challenge: Koide formula (P040) in the Physics Structural Challenge Ledger.

τ response

Evidence route

This response is supported by 7 canonical registry items in the τ Corpus.

• IV.D198 — Koide parameter direct problem account confidence: high
• IV.D344 — sigma-Equivariant Lepton Mass Matrix bridge structure confidence: high
• IV.D345 — Koide Angle delta=2/9 direct problem account confidence: high
• IV.T144 — m_mu/m_e Leading-Order Formula formalization support confidence: high
• IV.T148 — m_μ/m_e Best NLO Formula: ι_τ⁻⁴·⁹⁶ at +307 ppm formalization support confidence: medium
• IV.T156 — m_μ/m_e NNLO Correction: δ = 1/W₃(4)² = 1/25 formalization support confidence: medium
• IV.T176 — m_μ/m_e NNLO: k=15/2 at −8.2 ppm (τ-effective, best) formalization support confidence: medium

Notes

Verification

• Verification routeempirical_accountability
• Verification statuspending_external_review
• External statusexternally_open

External-review boundary

External particle-physics review of the τ formulation versus Standard-Model and BSM programs; comparison against LHC/ATLAS/CMS, neutrino, and precision-electroweak measurements.

Provenance

• v1 predecessorphys-koide-formula (promoted one to one)
• v1 mapping recovered fromf534b3fb^

Status disclaimer

A Challenge Response reports the program's current internal stance against a canonical Structural Challenge. It does not imply external verification, scientific consensus, philosophical settlement, or final proof. Read it together with its evidence route, registry references, verification status, and external-review boundary.