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feat(lean): G₂ metric formalization#146

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gift-framework merged 2 commits intomainfrom
feature/g2-metric-formalization
Feb 22, 2026
Merged

feat(lean): G₂ metric formalization#146
gift-framework merged 2 commits intomainfrom
feature/g2-metric-formalization

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Formalizes the G₂ metric journey results as certified Lean 4 theorems:

  • G2MetricProperties: non-flatness, spectral [1,10,9,30], det(g)=65/32 triple derivation, κ_T decomposition, PINN compression (25 theorems)
  • TCSPiecewiseMetric: building block asymmetry, H*(M₁)=dim(F₄), Fano automorphism PSL(2,7)=168, Kovalev eigenspace (30 theorems)
  • ConformalRigidity: Sym²=1⊕27, End=1⊕7⊕14⊕27, zero residual DOF (28−27−1=0), conformal exponent, J₃(𝕆)=N_gen³ (37 theorems)

Zero axioms, zero incomplete proofs. Build: 2642 jobs, 0 errors. Blueprint updated with 3 new chapters, 380+ total certified relations.

gift-framework and others added 2 commits February 22, 2026 11:29
….3.20)

Formalizes the G₂ metric journey results as certified Lean 4 theorems:

- G2MetricProperties: non-flatness, spectral [1,10,9,30], det(g)=65/32
  triple derivation, κ_T decomposition, PINN compression (25 theorems)
- TCSPiecewiseMetric: building block asymmetry, H*(M₁)=dim(F₄),
  Fano automorphism PSL(2,7)=168, Kovalev eigenspace (30 theorems)
- ConformalRigidity: Sym²=1⊕27, End=1⊕7⊕14⊕27, zero residual DOF
  (28−27−1=0), conformal exponent, J₃(𝕆)=N_gen³ (37 theorems)

Zero axioms, zero incomplete proofs. Build: 2642 jobs, 0 errors.
Blueprint updated with 3 new chapters, 380+ total certified relations.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
The $\kappa_T^{-1}$ superscript in a \section{} title crashed
lualatex's hyperref bookmark processing (unicode-math conflict),
preventing the .aux file from being written. This caused ALL 378+
cross-references to appear as undefined.

Fix: wrap all math in section/chapter titles with \texorpdfstring{}{}.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
@gift-framework gift-framework merged commit 7247c52 into main Feb 22, 2026
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