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Experimental approach to math functions
Every reference note now states the exact Research Stack source module and the corresponding SilverSight target path it supports, so the CFF is not just academic soup: - Saucedo 2019 → Semantics.SidonSets → formal/CoreFormalism/SidonSets.lean - Farr & Groot 2009 → Semantics.BraidEigensolid → formal/BraidEigensolid.lean - Fasolo & Sollich 2004 → meta-solid 1/7 threshold - Baranau & Tallarek 2014 → eigensolid packing bounds - Kofke & Bolhuis 1999 → braid/meta-solid phase transitions - Arrizabalaga et al. 2026 → Semantics.FixedPoint → formal/CoreFormalism/FixedPoint.lean - Yang et al. 2026 → AVMIsa.* → Core/SilverSightCore.lean - PVGS/quantum refs → formal/PVGS_DQ_Bridge/ and formal/BindingSite/ Build: 2978 jobs, 0 errors (lake build) |
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| .github/workflows | ||
| Core | ||
| docs | ||
| formal | ||
| python | ||
| qubo | ||
| tests | ||
| .gitignore | ||
| AGENTS.md | ||
| CITATION.cff | ||
| lake-manifest.json | ||
| lakefile.lean | ||
| lean-toolchain | ||
| PORTING_MAP.md | ||
| README.md | ||
| REBASE_RULES.md | ||
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: FixedPoint (canonical Q16_16/Q0_16), ChentsovFinite, HachimojiBase, HachimojiCodec, HachimojiManifoldAxiom |
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, Research Stack usage graph |
Research Stack Usage Map
The docs/research_stack_usage_graph.* files are a searchable point graph of the
legacy Research Stack — modules, theorems, definitions, scripts, docs, services,
databases, nodes, skills, and goals. Use them to discover what is worth porting.
docs/research_stack_usage_graph.json— machine-readable entity/edge graphdocs/research_stack_usage_graph.md— human-readable summarydocs/research_stack_usage_graph.dot— visual graph (render with Graphviz)docs/generate_research_stack_usage_map.py— regeneration scriptdocs/research_stack_porting_candidates.md— ranked porting shortlistdocs/generate_porting_candidates.py— candidates regeneration script
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