feat(spectral): add TCS Model Theorem for spectral bounds #129
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Add new modules for Twisted Connected Sum (TCS) spectral bounds: - NeckGeometry.lean: TCS manifold structure with hypotheses H1-H6 - TCSManifold: K = M₁ ∪_N M₂ with cylindrical neck - BoundedNeckVolume (H2): Vol(N) ∈ [v₀, v₁] - BlockCheegerBound (H4): h(Mᵢ \ N) ≥ h₀ - BalancedBlocks (H5): Vol(Mᵢ) ∈ [1/4, 3/4] - ProductNeckMetric (H3), NeckMinimality (H6): axioms - TCSBounds.lean: Model Theorem proving λ₁ ~ 1/L² - spectral_upper_bound: λ₁ ≤ 16v₁/((1-v₁)L²) via Rayleigh - spectral_lower_bound: λ₁ ≥ v₀²/L² via Cheeger - tcs_spectral_bounds: main theorem combining both Updated Spectral.lean to re-export new modules. References: - Kovalev (2003): TCS construction - Cheeger (1970): Isoperimetric spectral bounds
Pin all dependencies to specific versions to ensure reproducible builds: - mathlib: v4.14.0 - checkdecls: lean4.14.0 - doc-gen4: v4.14.0 This fixes CI failures caused by unpinned mathlib pulling the latest version which requires Lean 4.28+ and has Batteries compatibility issues. Also bump version to 3.3.11 for the new TCS spectral bounds modules.
…lity The project imports (like Mathlib.Data.Nat.Basic) require a recent Mathlib. - v4.14.0 was too old (files don't exist in that Mathlib) - v4.28.0-rc1 has Batteries bugs (binder annotation errors) Use v4.27.0 (stable) for all dependencies: - lean-toolchain: v4.27.0 - mathlib: v4.27.0 - checkdecls: lean4.27.0 - doc-gen4: v4.27.0
- Add NeckGeometry.lean: TCS manifold structure and hypotheses (H1)-(H6) - Add TCSBounds.lean: Model Theorem λ₁ ~ 1/L² for TCS manifolds - Update CHANGELOG.md with v3.3.12 release notes - Update CLAUDE.md with new tips (§47: native_decide type annotations, §48: version compat) - Bump version across all files: lakefile.toml, _version.py, README.md, USAGE.md - Fix Spectral.lean version references (v3.3.11 → v3.3.12)
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Add new modules for Twisted Connected Sum (TCS) spectral bounds:
NeckGeometry.lean: TCS manifold structure with hypotheses H1-H6
TCSBounds.lean: Model Theorem proving λ₁ ~ 1/L²
Updated Spectral.lean to re-export new modules.
References: