Registry · Proposition IV.P189 tau-effective formalized

IV.P189 — Quark-Lepton Complementarity: θ₁₂+θ_C ≈ π/4 from Fiber-Base Duality

Quark-lepton complementarity (QLC): θ₁₂(PMNS) + θ_C(CKM) ≈ π/4. Wave 11A: fiber-base duality proof — quarks on T² (fiber) have small mixing θ_C = arcsin(ι_τ·κ_D), leptons on τ¹ (base) have complementary angle π/4−θ_C because T²×τ¹→τ³ imposes quarter-turn total mixing. Correction O(ι_τ²) from ω-sector coupling. Deviation 1.4° consistent with ι_τ²κ_ω correction.

Book IV Part 5 Ch. 36

Dependency Graph

Depends on (2)

Lean Formalization

Module: TauLib.BookIV.Particles.ThreeGenerations

Symbol: Tau.BookIV.Particles.qlc_relation_conj