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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, glossary, testing rules

Glossary

docs/GLOSSARY.md is the authoritative living dictionary for SilverSight terms. Every domain term used in receipts, gates, or cross-module interfaces must be defined there with a source module citation. docs/GLOSSARY_ALLOWLIST.md contains generic terms that do not need glossary entries.

Testing

docs/TESTING.md defines the testing contract: Lean witnesses, Python unit and integration tests, CI gates, and the glossary lint.

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 graph
  • docs/research_stack_usage_graph.md — human-readable summary
  • docs/research_stack_usage_graph.dot — visual graph source (Graphviz)
  • docs/research_stack_usage_graph.svg — rendered vector graph
  • docs/research_stack_usage_graph_thumb.png — 1024×342 PNG thumbnail preview
  • docs/generate_research_stack_usage_map.py — regeneration script
  • docs/research_stack_porting_candidates.md — ranked porting shortlist
  • docs/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

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Experimental approach to math functions

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