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Clone of gift-framework/core used as reference for v3.3 sync.
Key additions from gift-framework/core v3.2.10-v3.2.11: ## TCS Construction (fully derived) - Both Betti numbers now DERIVED from building blocks: - M₁ (Quintic in CP⁴): b₂=11, b₃=40 - M₂ (CI(2,2,2) in CP⁶): b₂=10, b₃=37 - K₇: b₂=21, b₃=77 via Mayer-Vietoris ## Structural derivation of τ - τ = dim(E₈×E₈) × b₂ / (dim(J₃(𝕆)) × H*) - = 496 × 21 / (27 × 99) = 3472/891 ## E-series Jordan formula - dim(J₃(𝕆)) = (248-78-8)/6 = 27 (derived from E-series) ## Magic 42 and Poincaré duality - 42 = p₂ × N_gen × dim(K₇) = 2×3×7 - χ(K₇) = 0 (compact odd-dimensional manifold) ## Tau power bounds (numerical observations) - τ⁴ ∈ (230, 231), target 231 = N_gen × b₃ - τ⁵ ∈ (898, 899), target 900 = h(E₈)² ## PINN validation update - Safety margin: 220,000× (was 224×) All Lean 4 verification references updated.
Exploratory analysis of why GIFT uses specific formula combinations: ## Key findings: 1. GIFT-expressibility criterion: - Reduced fractions must have num AND den as GIFT constants - sin²θ_W = 21/91 = 3/13 = N_gen/α_sum ✓ - Q_Koide = 14/21 = 2/3 = p₂/N_gen ✓ 2. Holonomy discrimination: - b₂/(b₃+dim_G₂) = 21/91 works (0.19% off) - b₂/b₃ = 21/77 fails (18% off) - Adding dim(G₂)=14 is essential for gauge-matter couplings 3. Physical interpretation: - sin²θ_W = gauge_moduli / (matter_modes + holonomy_constraints) Files: - SELECTION_PRINCIPLE_ANALYSIS.md: Working document with mod-7 patterns - selection_principle_exploration.py: Systematic ratio/sum exploration - selection_principle_v2.py: GIFT-expressibility criterion testing Status: Research notes, not for publication
Key finding: The "selection principle" problem DISSOLVES. Multiple GIFT formulas for the same observable are ALGEBRAICALLY EQUIVALENT: - sin²θ_W has 14 expressions, ALL equal to 3/13 - Q_Koide has 20 expressions, ALL equal to 2/3 - N_gen has 24 expressions, ALL equal to 3 The equivalences arise from identities in GIFT algebra: - 13 = rank(E8) + Weyl = p2 + D_bulk - 91 = b3 + dim_G2 = 7 × 13 - 21 = N_gen × dim_K7 So: N_gen/alpha_sum = b2/(b3+dim_G2) = 3/13 This isn't "selection" — it's STRUCTURAL INEVITABILITY. The formulas express the SAME unique value in equivalent ways.
Complete documentation of structural inevitability in GIFT formulas: ## Contents: - sin²θ_W = 3/13: 14 equivalent expressions - Q_Koide = 2/3: 20 equivalent expressions - N_gen = 3: 24 equivalent expressions - κ_T⁻¹ = 61, det(g) = 65/32, τ = 3472/891, H* = 99 ## Key insight: Multiple GIFT expressions for the same observable are ALGEBRAICALLY EQUIVALENT, not alternatives. The "selection problem" dissolves: there's ONE value (e.g., 3/13) expressible in multiple equivalent ways. ## Includes: - Complete expression tables for each constant - Underlying algebraic identities - Mod-7 structure analysis - Physical interpretations - Balmer formula analogy
- Extended equivalence test: 13/15 observables show structural inevitability (multiple equivalent GIFT expressions) - Electroweak consistency analysis: identifies 0.86% tension between sin²θ_W = 3/13 and m_W/m_Z = 23/26 - Global p-value calculation: ~10⁻⁶ for exact matches - Lean 4 formalization plan for gift-core repository Key findings: - m_b/m_t = 1/42 has 21 equivalent expressions (magic number confirmed) - Complete PMNS matrix structurally inevitable - 2 observables (m_u/m_d, m_H/m_W) marked for verification
S2_derivations: - Add quark mass ratios: m_c/m_s, m_b/m_t (1/42), m_u/m_d - Add CKM matrix: sin²θ₁₂=7/31, A_Wolf=83/99, sin²θ₂₃=1/24 - Add PMNS sin² forms: 4/13, 6/11, 11/496 - Add cosmology: Ω_DM/Ω_b=43/8, h=167/248, Ω_b/Ω_m, σ₈, Y_p Main: - Add m_b/m_t to Quark Sector table - Add Ω_DM/Ω_b to Cosmological Sector table - Note connection: 42 appears in both particle (m_b/m_t) and cosmology (Ω_DM/Ω_b) through K₇ geometry
Extend observables catalog with quark, CKM, PMNS, and cosmology
- Update GIFTPY_FOR_GEOMETERS.md: rename to gift_core, refs v3.3 - Update INFO_GEO_FOR_PHYSICISTS.md: refs v3.3 - Update LEAN_FOR_PHYSICS.md: refs v3.3 - Consolidate 4 extension files into EXTENDED_OBSERVABLES.md: - Merged EXTENDED_OBSERVABLES_ANALYSIS_RESULTS.md - Merged FORMULA_EQUIVALENCE_CATALOG.md - Merged GIFT_Extended_Observables_Research.md - Merged SELECTION_PRINCIPLE_ANALYSIS.md
…p-sMACo Claude/setup core repo wip s ma co
…tions
A) DUNE timeline: Split into first results (2028-2030) vs precision (2034-2039)
- Aligned OBSERVABLE_CATALOG.md and EXTENDED_OBSERVABLES.md with main paper
- Added Snowmass 2021 reference note
B) 10^-30 claim: Reformulated with null model caveat
- Acknowledged formula selection freedom and LEE
- Referenced conservative Monte Carlo analysis in Section 10.4
C) Torsion equation: Clarified as correction term
- Added full connection decomposition Γ = {·} + K
- Renamed to ΔΓ (torsion-induced correction)
- Added caveat about metric gradient regime
D) DESI+torsion reference: Added specific paper
- Iosifidis et al. (2024) EPJC 84, 1067
- Clarified model-dependent nature of comparison
…fication - CANONICAL (≥20 expressions): Maximally over-determined - ROBUST (10-19 expressions): Highly constrained - SUPPORTED (5-9 expressions): Multiple derivations - DERIVED (2-4 expressions): Dual derivation - SINGULAR (1 expression): Unique derivation Updated OBSERVABLE_CATALOG.md and EXTENDED_OBSERVABLES.md
- Rename "Magic Number 42" → "Structural Constant 42" in S1_foundations - Replace "Paradigm Shift" → "Conceptual Clarifications" in CHANGELOG - Replace "Elegant Reformulation" → "Alternative Formulation" in S3_dynamics - Remove "remarkable", "extraordinary", "deep structure" superlatives - Update Lean theorem references to match
…p-sMACo Claude/setup core repo wip s ma co
- Main paper (4.4): dissolution of formula selection, multiple expressions table, classification scheme, algebraic web - S2 (Part IX, Section 24): complete observable catalog with expression counts, extended predictions, illustrative examples
…rk-core-37t4m Add structural inevitability section and observable catalog
Create OBSERVABLE_REFERENCE.md and UNIQUENESS_ANALYSIS.md consolidating content from 5 separate files on wip-3.3a branch: - EXTENDED_OBSERVABLES.md - GIFT_Extended_Observables_v3_Final.md - OBSERVABLE_CATALOG.md - GIFT_Alternative_Groups_Report.md - GIFT_Selection_Rules_Report.md Reduces ~1430 lines to ~750 while preserving all essential content.
Major changes: - Create STATISTICAL_EVIDENCE.md consolidating all statistical analysis - Add validation_v33.py with 33 observables (18 core + 15 extended) - Run fresh Monte Carlo: 192,349 configs tested, 0 better than GIFT - Remove redundant docs: UNIQUENESS_ANALYSIS.md, legacy validation reports - Update statistical_validation/README.md for v3.3 Results: - GIFT mean deviation: 0.84% across 33 observables - P-value: < 5×10⁻⁶ (significance > 4.5σ) - E₈×E₈ outperforms all gauge groups by 10x - G₂ holonomy essential (Calabi-Yau fails by 5x)
Changes: - Add Section 17b: Boson Mass Ratios with full derivations - m_W/m_Z = 37/42 (v3.3 correction, 0.06% vs previous 0.35%) - m_H/m_t = 56/77 (0.31%) - m_H/m_W = 81/52 (0.02%) - Update Section 23: Statistical Uniqueness with 192,349 configs - Add gauge group comparison (E₈×E₈ 10× better) - Add holonomy comparison (G₂ essential) - Update p-value to < 5×10⁻⁶ - Fix m_W/m_Z in extended predictions table (line 1121) - Update reference to STATISTICAL_EVIDENCE.md
…5pI3P Claude/review docs files 5p i3 p
S1_foundations: - Line 45: Update chain diagram to "33 dimensionless predictions" - Line 369: Update key insight text S3_dynamics: - Line 61: Update disclaimer about S2 independence - Line 164: Update prediction count in info box - Line 230: Update prediction count in info box
…5pI3P Update S1 and S3 references from 18 to 33 observables
- Rename χ(K₇)=42 to structural constant 2b₂ (true Euler char is 0) - Fix m_W/m_Z percentage: 23/26 had 0.35% error, not 8.7% - Harmonize torsion values: ‖T‖_max = 4.5×10⁻⁷ across all docs - Add clarifying notes distinguishing 2b₂ from χ(K₇)
…5pI3P Fix critical terminology and consistency errors
Torsion/Joyce margin: - Fixed ‖T‖_max = 4.46×10⁻⁴ (not 4.5×10⁻⁷) - Corrected margin to 224× (not 220,000×) - Source: notebooks/v_3_2/k7_metric_v32_export.json Prediction count clarity: - Added explicit "18 PROVEN (Lean) + 15 TOPOLOGICAL/HEURISTIC" notes - Standardized in abstract, S1, and S2 headers Overclaim fixes: - "unique compact geometry" → "natural compact geometry" - "unique compact 7-geometry" → "minimal exceptional candidate" - Added disclaimer: "We do not claim uniqueness" Consistency fixes: - Fixed STATISTICAL_EVIDENCE.md: 0.84% → 0.21% - Harmonized OBSERVABLE_CATALOG.md mean deviations
…5pI3P Fix GPT-identified issues: torsion margin, 18vs33, overclaims
- S2 tables: χ → 2b₂ in m_W/m_Z and σ₈ formulas - All 0.84% → 0.21% (main, S2, README) - Added explicit "Limitations and Look-Elsewhere Effect" section - Clarified: "formulas fixed a priori, selection principle open" - Statistical significance caveat for formula space
…5pI3P Fix remaining χ→2b₂ notation, add look-elsewhere caveat
Update version references and statistics across 18 files: Version updates (v3.2 → v3.3): - 33 observables (was 18) - 0.21% mean deviation (was 0.24%) - 192,349 configurations tested (was 54,327) - p < 5×10⁻⁶, >4.5σ significance - All file references: GIFT_v3.2_*.md → GIFT_v3.3_*.md Notation fix (χ(K₇) → 2b₂): - Corrected: χ(K₇) = 0 for odd-dimensional manifolds - The constant 42 = 2b₂ is a structural invariant, not Euler characteristic - Updated in OBSERVABLE_CATALOG, EXTENDED_OBSERVABLES, Selection Rules Added CHANGELOG entry for v3.3.0 with all changes.
docs: Synchronize all documentation to v3.3
Add three GitHub Actions workflows for automated documentation quality: 1. observable-calculator.yml + observable_calculator.py - Recalculates all observables from topological constants - Validates values in markdown match computed values - Checks cross-document consistency - Triggers on changes to publications/markdown/ 2. cross-repo-consistency.yml + cross_repo_check.py - Validates docs against gift-framework/core constants - Checks Lean definitions match documentation - Verifies theorem references exist - Supports repository_dispatch for cross-repo triggers - Weekly scheduled check for drift detection 3. docs-linter.yml + docs_linter.py - Checks for internal jargon (per CLAUDE.md guidelines) - Validates status classifications (PROVEN, TOPOLOGICAL, etc.) - Detects evolutionary language patterns - Verifies cross-references between documents - Suggests Unicode notation improvements Also adds markdown-link-check-config.json for link validation.
…ork-core-g9ILm ci: Add documentation validation workflows
- Move redundant observable docs to legacy (keep OBSERVABLE_REFERENCE.md) - Remove duplicate 39_observables.csv from legacy - Remove .tex files from legacy (keep only .md and .pdf) - Delete old validation scripts (v3.py, v32.py) - keep v33 only
- Create gauge_group_uniqueness.py testing E₈×E₈ vs 14 alternatives - Test all holonomies (G₂, Spin(7), SU(3), SU(4), SU(2)) - Results: E₈×E₈ is 15.9× better than next best (E₇×E₈) - G₂ holonomy is 27× better than Calabi-Yau (SU(3)) - Add Section 10 "Uniqueness Analysis" to OBSERVABLE_REFERENCE.md - Only rank=8 gives N_gen = 3 exactly (168/56 = 3)
- Create generate_reference_data.py as the canonical validation script - Generate gift_reference_data.json as single source of truth - Update OBSERVABLE_REFERENCE.md with unified values - Update GIFT_v3.3_main.md with unified values (abstract + tables) Unified results: - E₈×E₈: 0.24% mean deviation, 12.8× better than next best - G₂: 0.24% mean deviation, 13× better than Calabi-Yau - Only rank=8 gives N_gen = 3 exactly (168/56 = 3)
…p-qANin Claude/review docs cleanup q a nin
Replace overly assertive language with humble, scientific terminology: - PROVEN → VERIFIED throughout - "uniquely optimal" → "optimal among tested" - "essential" → "achieves significantly better agreement" - "outperforms" → "achieves X× better agreement" - "definitively refute" → "strongly disfavor" - "Structural Inevitability" → "Structural Redundancy" - "mystery resolved" → "relation expressed" - Various other softening of absolute claims Files modified: - publications/markdown/GIFT_v3.3_main.md - publications/markdown/GIFT_v3.3_S1_foundations.md - publications/markdown/GIFT_v3.3_S2_derivations.md - publications/markdown/GIFT_v3.3_S3_dynamics.md - docs/FAQ.md - docs/GLOSSARY.md - docs/STATISTICAL_EVIDENCE.md - docs/GIFT_Alternative_Groups_Report.md - docs/OBSERVABLE_REFERENCE.md
- Add section 8.2 with multi-scale FD stability analysis (eps=5e-4, 1e-3, 2e-3) - Add high-density coverage check (N=5000 points) - Add conservative worst-case bound analysis (142× Joyce margin) - Update GIFT version references from v3.2 to v3.3 - Fix section numbering consistency (8, 9, 10 instead of 9, 10, 11) - Fix Table of Contents entries
…p-qANin Claude/review docs cleanup q a nin
- Move OBSERVABLE_REFERENCE.md from docs/ to publications/references/ - Remove 24 legacy/deprecated scripts from statistical_validation/ - Remove old validation results and campaign data - Clean notebooks/ (keep only .ipynb files, remove generated artifacts) - Update STRUCTURE.md with correct v3.3 file references - Update README files (references/, statistical_validation/)
…ucture-kbawa Cleanup project structure: remove legacy scripts, reorganize docs
Update axiom count from 40 to 15 across all documentation. Axiom breakdown: Tier 1 (Numerical) 0, Tier 2 (Algebraic) 2, Tier 3 (Geometric) 13. Updated files: - README.md, CITATION.md, STRUCTURE.md - publications/README.md, GIFT_v3.3_main.md, GIFT_v3.3_S1_foundations.md - docs/FAQ.md, docs/GLOSSARY.md, docs/EXPERIMENTAL_VALIDATION.md - CHANGELOG.md (new entry for v3.3.7)
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