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Experimental approach to math functions
allaun
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Generate a ranked shortlist of high-value Research Stack modules to port, scored by theorem count, in-degree (foundational), definitions, and sorry penalty. Filtered to SilverSight-relevant math kinds. - docs/research_stack_porting_candidates.md — top 50 + by-kind breakdown + zero-sorry foundation modules + script/database links - docs/generate_porting_candidates.py — regeneration from usage graph JSON 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