SocrateAI-Lean-Lib v1.0.0 — Complete Formal Scientific Foundation
🔬 SocrateAI-Lean-Lib v1.0.0 — Major Release
Complete Lean 4 Formal Scientific Foundation Library for Advanced Research, Theories, and Non-Anthropocentric Mathematics.
✅ Verification Status
| Metric | Result |
|---|---|
| Lake Build | 69 jobs — 0 errors, 0 warnings |
sorry stubs |
0 (all theorems kernel-verified, Tier A) |
| Formal Domains | 14 |
| Modules | 40+ |
| Test Suites | 17 |
| Lean Version | v4.33.1 |
🏛️ Formal Domains
Core Foundations
- Core: Algebra, Topology, Analysis, Logic, References, TierCalculus
String Theory & High-Energy Physics
- Duality: DualScale, T-Duality, EffectiveScale
- K3: K3Surfaces, CooperSym2, FDM_Candidates
- StringTheory: FTheory, Swampland, K3×T², Künneth product, 19 string inequalities, vacuum selection
- ParticlePhysics: Index theorem, PMNS matrix
Quantum & Information
- Quantum: Golay code [[24,12,8]], GolayM24 holographic error correction
- Moonshine: RAMA η-quotient, Mathieu bispectrum, M24 representations, vacuum energy, extremal level-12
Cosmology & Gravity
- Cosmology: Bayesian evidence, dark energy, inflation, Moonshine vacuum
- Inflation: Inflationary observables (r = 12/Ne², ns = 53/55, LiteBIRD)
- ChameleonGravity: DAC model, NGC 1052-DF2, Cassini bounds
Mathematical Foundations
- Ramanujan: RAMA Engine, Callens-Alix S₂₀ kernel, ShadowBridge
- NavierStokes: Hypothesis U, BKM criterion, enstrophy, frustration index
- ModularForms: Poincaré upper half-plane
- Pregeometry: Hypergraph K₄, discrete Laplacian, ORF suppression
- AlienMath: Kal charging matrix, holographic border rank, exact SOS witnesses
🚀 Infrastructure
- GitHub Actions CI:
lake build+ kernel axiom audit + blueprint verification - 5 automation scripts: axiom audit, olean kernel check, blueprint generator, external library sync
- Full documentation: Blueprint DAG, Proof Manifest, Axiom Audit Report, External Libraries, Agent Guide
- Scientific specification with neuro-symbolic toolchain architecture
📄 License
MIT