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Experimental approach to math functions
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Allaun Silverfox 57bcd2ed7a Add SilverSight Core + Library Manifest + RRC placement 
- Core/SilverSightCore.lean: 200-line minimal core
  * 8 Hachimoji states (classification alphabet)
  * Receipt format (core-library interface)
  * AVM transition function delta : S x I -> S'
  * TIC axiom (derived, not driver)
  * Loop invariant: computation generates time
  * Library interface: Library := String -> Receipt
  * Receipt validators (format, consistency, state validity)

- docs/LIBRARY_MANIFEST.md: 8-library architecture map
  * LexLib, SearchLib, MetricLib, QUBOLib
  * StructureLib, PVGSLib, EventLib, AuditLib
  * Key rule: libraries import core only, never each other

- docs/RRC_PLACEMENT.md: RRCLib positioning
  * RRC is its own library (not AuditLib, not SearchLib)
  * 3 gates: type, projection, merge (H-KdF polynomial evaluation)
  * Meta-level: receipts about receipts (hash chain)
  * Rainbow = 3 color channels, Compiler = receipt -> verdict
2026-06-21 05:59:43 -05:00
.github/workflows Initial SilverSight: deterministic equation search via Fisher geometry 2026-06-21 18:02:05 +08:00
Core Add SilverSight Core + Library Manifest + RRC placement 2026-06-21 05:59:43 -05:00
docs Add SilverSight Core + Library Manifest + RRC placement 2026-06-21 05:59:43 -05:00
formal Fix: resolve sorrys across PVGS, UniversalEncoding, ChiralitySpace, QAOA 2026-06-21 05:35:53 -05:00
python Initial SilverSight: deterministic equation search via Fisher geometry 2026-06-21 18:02:05 +08:00
qubo Fix: resolve sorrys across PVGS, UniversalEncoding, ChiralitySpace, QAOA 2026-06-21 05:35:53 -05:00
tests Initial SilverSight: deterministic equation search via Fisher geometry 2026-06-21 18:02:05 +08:00
.gitignore Initial SilverSight: deterministic equation search via Fisher geometry 2026-06-21 18:02:05 +08:00
CITATION.cff Initial SilverSight: deterministic equation search via Fisher geometry 2026-06-21 18:02:05 +08:00
README.md Initial SilverSight: deterministic equation search via Fisher geometry 2026-06-21 18:02:05 +08:00

README.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: 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