feat(spectral): integrate TCS bounds and axioms #131
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- Add TCS abbrevs to Certificate.lean for blueprint dependency graph
- Create Spectral/Tier2.lean with Langlais 2024 and CGN 2024 axioms
- Update Spectral.lean with Tier2 import and re-exports
- Add TCS chapter to blueprint with Model Theorem documentation
- Link NeckGeometry and TCSBounds to blueprint dependency graph
New axioms (literature-supported):
- langlais_spectral_density: Λ_q(s) = 2(b_{q-1} + b_q)√s + O(1)
- cgn_no_small_eigenvalues: no eigenvalues in (0, c/L)
- cgn_cheeger_lower_bound: λ₁ ≥ C'/L²
- tier2_canonical_neck_length: L² ~ H* = 99 (conjecture)
New theorems:
- K3_S1_density_coeff_2/3: density coefficients 46 and 88
- gift_prediction_structure: 14/99 = dim(G₂)/H*
- gift_v3312_tcs_bounds_certificate
- gift_v3313_tier2_certificate
Version: 3.3.13
- Rename Tier2.lean to LiteratureAxioms.lean (standard terminology) - Replace 'λ' with 'ev' (reserved keyword in Lean 4) - Simplify density_coefficient to avoid proof obligations - Update namespace from Tier2 to LiteratureAxioms - Update all references in Spectral.lean and Certificate.lean - Update blueprint to use standard academic terminology Fixes: - 'unexpected token λ' error - 'unsolved goals ⊢ 2 ≤ K3_S1.dim' error - Tier-1/2/3 jargon replaced with standard terms
- Add v3.3.13 section to CHANGELOG with Literature Axioms module - Update docs/USAGE.md with LiteratureAxioms usage examples - Add §49 to CLAUDE.md: reserved keywords (λ) and structure field proofs - Update Axiom Status section in CLAUDE.md for v3.3.13 - Bump version to 3.3.13 in _version.py - Update README.md Spectral section to include LiteratureAxioms.lean
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New axioms (literature-supported):
New theorems:
Version: 3.3.13