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Core components: - ChentsovFinite.lean (883 lines, 0 sorry): Fisher metric uniqueness on 8-state simplex - HachimojiCodec.lean: Deterministic E=mc^2 -> Hachimoji state pipeline - PVGS_DQ_Bridge (8 sections, ~6,150 lines): Photon-Varied Gaussian to Dual Quaternion - UniversalMathEncoding.lean: 50-token math address space (~10^15 addresses) - ChiralitySpace.lean: 4D descriptor (phase x chirality x direction x regime) ~2x10^25 - BindingSite (3 files): Amino acid vocabulary, entropy-based bindability - Python: chaos game, Sidon addressing, Q16.16 canonical, Finsler metric, QUBO/QAOA - CI: Lean check, Python check, Q16 roundtrip workflows Papers: Giani-Win-Conti 2025, Chabaud-Mehraban 2022, Pizzimenti 2024, Wassner 2025
1.7 KiB
1.7 KiB
SilverSight
A deterministic equation search and classification system built on chaos game theory, Sidon set addressing, and Fisher information geometry. Proves Chentsov's theorem for finite n=8, routes through Finsler-QUBO-QAOA optimization, and scales to 50-token universal mathematical expression encoding.
Structure
| Directory | Contents |
|---|---|
formal/CoreFormalism/ |
Lean 4: ChentsovFinite, HachimojiBase, HachimojiCodec, HachimojiManifoldAxiom, Q16_16_Spec |
formal/PVGS_DQ_Bridge/ |
Lean 4: Photon-Varied Gaussian State to Dual Quaternion energy bridge (7 sections + master) |
formal/UniversalEncoding/ |
Lean 4: 50-token math address space, 4D chirality classification |
formal/BindingSite/ |
Lean 4: Amino acid vocabulary mapping, entropy-based bindability |
python/ |
Python: chaos game, Sidon addressing, spectral profile, Q16.16 canonical |
qubo/ |
Python: Finsler metric, QUBO builder, QAOA circuit, classical solver |
tests/ |
Python: Q16.16 roundtrip tests |
.github/workflows/ |
CI: Lean check, Python check, Q16 roundtrip |
docs/ |
Architecture documentation |
Key Papers
- Giani, Win, Conti (2025) - Photon-Varied Gaussian States (PVGS)
- Chabaud, Mehraban (2022) - Stellar representation of non-Gaussian quantum states
- Pizzimenti et al. (2024) - Wigner negativity of superpositions
- Wassner et al. (2025) - Single quadrature noise tomography
Quick Start
# Run Q16.16 roundtrip test
python tests/q16_roundtrip_test.py
# Run chaos game search
python python/chaos_game.py
# Run optimization suite
python qubo/test_optimize.py
Citation
See CITATION.cff.
License
MIT