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Experimental approach to math functions
Hard self-review assuming everything is wrong. Findings: MAJOR FAILURES: - CRTSidonN.lean claimed 'proven' but is UNVERIFIED (not lake-built) - HCMR claimed '0 sorries' but has 2 sorries (LIED about sorry count) - Dual quaternion algebra is WRONG (integers ≠ unit quaternions) - 'Degree on S²' is INVENTED (Rossby drift is scalar sum, not winding number) - 'n/2 orthogonal channels' is RENAMED Sidon, not new result - QUBO/QAOA connection is ENTIRELY SPECULATIVE - Rossby energy dissipation theorem is TAUTOLOGICAL (step_count+1 > step_count) - sidon_preserved (componentwise) is TAUTOLOGICAL (only uses identity) - Pipeline numbers (65K→100) are GUESSES, untested with real chiral system - GPU shaders UNTESTED, might not compile MINIMALLY CORRECT (13 things): 1. sidon_preserved_mod (2-moduli CRT Sidon) — real proof 2. helical_coverage_74 — proven (native_decide) 3. ofChiralLabel_isUnit — simple, correct 4. ring_fastest (HCMR) — simple omega 5. Conservation law — measured 8× 6. Chiral invariance — proven + 50K trials 7. Hoffman gap=1 — measured 8. q-profile sweep — measured 9. Photonic Sidon 18/18 — measured 10. pipeline_core.py runs — tested 11. dna_braid.wgsl — works 12. dna_radix_gpu.py — works 13. BraidStateN.lean ChiralLabel/Rossby — compiles Honest assessment: ~30% correct, ~40% analogy/speculation, ~30% overstated/tautological. The QUBO/QAOA bridge is the weakest part — entirely speculative. |
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| external | ||
| extraction | ||
| formal | ||
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| AGENTS.md | ||
| BREAKGLASS_LOG.md | ||
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| ERROR_INVENTORY.md | ||
| lake-manifest.json | ||
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| PORTING_MANIFEST.md | ||
| PORTING_MAP.md | ||
| pytest.ini | ||
| README.md | ||
| REBASE_RULES.md | ||
| requirements.txt | ||
| SORRY_PROTOCOL.md | ||
| SORRY_RESOLUTION_S1S3.md | ||
| TRACEABILITY_GRAPH.md | ||
| VERIFICATION_LOG.md | ||
| WORK_LOG.md | ||
SilverSight
A formally verified, hardware-native computation stack for braid topology analysis, eigensolid compression, and cross-domain 1/n-scaling signature mining.
Quick Start
# Verify the entire pipeline (∼4 min)
bash scripts/run_entry_gate.sh
This runs all 4 anti-smuggle layers:
| Layer | Gate | What it proves |
|---|---|---|
| 0 | check_determinism.py |
All artifacts are reproducible (SHA-256 chains, seeded RNG) |
| 1 | lake build |
All 3307 Lean jobs compile (Q16_16 fixed-point, AVM ISA, PIST classifiers) |
| 2 | rrc-emit-fixture |
The manifold receipt emits with 278/278 rows passing alignment |
| 3 | verify_with_sympy.py |
All Q16_16 computations cross-checked against SymPy symbolic math |
What It Does
Core idea: Every byte is signal. Gaps, timing, and absences are the encoding. The compressor encodes everything; the decompressor must reconstruct everything, including the gaps — because the gaps are the compression.
Pipeline
Equation text → tokenizer → 8×8 strand adjacency matrix
↓
PIST spectral classifier
(MatrixN → SpectralN → ClassifyN)
↓
Q16_16Manifold (278 fixture rows)
↓
AVM ISA receipt (JSON)
Key Modules
| Module | Purpose |
|---|---|
MatrixN |
Generic n×n matrix operations (power iteration, Laplacian, A^T A) |
SpectralN |
Spectral profile: eigenvalue, spectral gap, density, Frobenius norm |
ClassifyN |
Spectral-radius → color → shape-name classifier |
BraidStateN |
n-strand braid state, crossStep, eigensolid convergence |
FisherRigidityN |
n-dimensional Fisher-Rao geometric rigidity |
FixedPointBridge |
Q16_16 ↔ Q0_64 quad matrix bridge (zero LSB error) |
FeasibleSet |
QUBO k-hot relaxation with weak monotonicity proofs |
Infrastructure
| Service | Host | Purpose |
|---|---|---|
| AppFloyo Cloud | neon-64gb:8000 | Module dependency dashboard |
| GoTrue | neon-64gb:9999 | JWT auth for API access |
| Authentik | neon-64gb:30001 | SSO provider (OAuth2/OIDC) |
| Homarr | neon-64gb:7575 | Infrastructure dashboard |
| CouchDB | neon-64gb:5984 | Document store |
Verification
# Full formal build
lake build # 3307 jobs, 0 errors
# Generate predictions from equations
python3 python/generate_predictions.py
# Build matrix data
python3 python/build_pist_matrices_250.py
# Build manifold fixture rows
python3 python/build_manifold.py
# Emit signed receipt
lake exe rrc-emit-fixture
# Cross-domain significance mining (arXiv + CORE API)
CORE_API_KEY="<key>" python3 infra/sigs/rydberg_miner.py
python3 scripts/cross_domain_significance.py
Project Structure
formal/ Lean 4 source (truth)
python/ Python I/O shims
scripts/ Anti-smuggle protocol, infrastructure
signatures/ Cross-domain signature data
infra/sigs/ Literature mining tools
specs/ Design documents
License
Apache 2.0