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Experimental approach to math functions

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allaun 7a973a06f6 feat(core): harden SilverSightCore and port canonical FixedPoint - Remove Float from Core/SilverSightCore.lean (Receipt.pathCost is now Option Nat) - Prove TIC theorems tic_never_decreases and computation_generates_time - Add lakefile.lean, lean-toolchain, and .gitignore for .lake/ - Port Research-Stack Semantics.FixedPoint.lean to formal/CoreFormalism/FixedPoint.lean - Delete thin Q16_16_Spec.lean; update Python/QUBO comments and docs - Create AGENTS.md distilled from Research Stack core bindings - Update REBASE_RULES.md to strip legacy hacks and reference AGENTS.md Build: 2978 jobs, 0 errors (lake build)		2026-06-21 06:30:12 -05:00
.github/workflows	Initial SilverSight: deterministic equation search via Fisher geometry	2026-06-21 18:02:05 +08:00
Core	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
docs	Add SilverSight Core + Library Manifest + RRC placement	2026-06-21 05:59:43 -05:00
formal	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
python	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
qubo	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
tests	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
.gitignore	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
AGENTS.md	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
CITATION.cff	Initial SilverSight: deterministic equation search via Fisher geometry	2026-06-21 18:02:05 +08:00
lake-manifest.json	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
lakefile.lean	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
lean-toolchain	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
PORTING_MAP.md	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
README.md	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00
REBASE_RULES.md	feat(core): harden SilverSightCore and port canonical FixedPoint	2026-06-21 06:30:12 -05:00

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: 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

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