v3.3.28: L4 torsion reduction chain formalization#154
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gift-framework merged 1 commit intomainfrom Mar 8, 2026
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Fill two gaps in the Lean certificate chain connecting the explicit metric to G₂ holonomy: 1. NK parameter decomposition: β (0.02962), η (3.16e-5), ω (0.0713) with product formula verification h = β·η·ω < 1/2 2. Joyce iteration table: T₁-T₄ intermediate values with full monotone convergence proof T₀ > T₁ > T₂ > T₃ > T₄ > T₅ Two convergence regimes identified: - Steps 0→2: modest linear-like reduction (T₀/T₂ > 2) - Steps 3→5: dramatic quadratic acceleration (T₂/T₅ > 1000) 14 new definitions, ~20 new theorems, 0 new axioms. NK master: 7→11 conjuncts. K3 master: 10→16 conjuncts. Certificate/Foundations: 26→28 conjuncts. Build: 2657/2657, zero errors. Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
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Fill two gaps in the Lean certificate chain connecting the explicit metric to G₂ holonomy:
NK parameter decomposition: β (0.02962), η (3.16e-5), ω (0.0713) with product formula verification h = β·η·ω < 1/2
Joyce iteration table: T₁-T₄ intermediate values with full monotone convergence proof T₀ > T₁ > T₂ > T₃ > T₄ > T₅
Two convergence regimes identified:
14 new definitions, ~20 new theorems, 0 new axioms. NK master: 7→11 conjuncts. K3 master: 10→16 conjuncts. Certificate/Foundations: 26→28 conjuncts.
Build: 2657/2657, zero errors.
Note
Medium Risk
Touches core certificate propositions/structures and adds new exported symbols, which may break downstream proofs/imports if they depended on prior certificate shapes. Proofs remain
native_decide-backed and no new axioms are introduced, limiting correctness risk.Overview
Adds L4 torsion reduction chain formalization by filling two missing proof links in the Lean certificate path.
Foundations/NewtonKantorovich.leannow exposes separate β/η/ω rational bounds, proves their product implies the existingh < 1/2contraction, extendsNKCertificatewith these fields, and expands the NK master certificate (7→11 conjuncts).Foundations/K3HarmonicCorrection.leanadds intermediate torsion boundsT1–T4, proves the full monotone chainT0 > … > T5, and adds regime/acceleration checks, expanding the K3 master certificate (10→16).Wires these into the public surface by extending exports in
Foundations.lean, adding new abbrevs and two new conjuncts inCertificate/Foundations.lean(26→28), and bumps docs/versioning (CHANGELOG,docs/USAGE.md,README,gift_core/_version.py) to3.3.28.Written by Cursor Bugbot for commit 52f917c. This will update automatically on new commits. Configure here.