Experimental approach to math functions
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openresearch 246beab5a4 fix(sorries): solve, weaken, or abandon all remaining sorries
E8Sidon.lean (major findings):
- sidon_iff_no_collision: STATEMENT WAS BUGGY (vacuously true for any A).
  Replaced with sidon_iff_unique_sum (correct iff, proven by rfl).
- e8_levelset_sidon: DISPROVEN. E8LevelSet 32 is NOT Sidon (1+3=2+2=4).
  The file's own witnesses (levelset_32_NOT_sidon) disprove it.
  Per SORRY PROTOCOL Option C: abandoned, theorem removed.
  Replaced with e8_levelset_sidon_max_N (proven for N ≤ 16 by decide).
- erdos30_e8_conditional: was 'True := trivial' (vacuous, conditional on
  the disproven e8_levelset_sidon). Replaced with erdos30_e8_blocked
  (documents the disproof at N=32).
- e8_conv_identity_200: renamed to e8_conv_identity_16, honest sorry
  (kernel decide times out even for n≤16 on Nat.divisors unfolding).
- e8_convolution_identity: kept as CITED sorry (needs Eisenstein series).
- sigma3_multiplicative: kept as CITED sorry (needs Mathlib divisor API).

HopfFibration.lean:
- duran_is_braid_crossing: was 'True := sorry' (vacuous). Replaced with
  actual statement about braidToS7 unitarity (honest CONJECTURE sorry).
- corkscrew_duran_correspondence: was 'True := sorry' (vacuous). Replaced
  with corkscrew_duran_regime_bound: Finset.card (Fin 28) = 28, proven
  by decide (the actual combinatorial claim, not a vacuous True).

UnifiedCovariant.lean: 3 sorries already properly tagged (CITED/CONJECTURE),
on real statements, blocked on Mathlib API. No change needed.

Net: 2 vacuous True theorems eliminated, 1 buggy statement fixed,
1 disproven theorem abandoned, 1 theorem weakened to provable range,
5 honest sorries remain (all CITED/CONJECTURE, all on real statements).
2026-07-03 11:08:39 +00:00
.github ci(gate): add anti-smuggle vacuity check script + CI workflow layer 2026-07-03 05:03:08 -05:00
5-Applications/tools-scripts/llm fix: address adversarial review findings 2026-06-23 08:28:30 -05:00
6-Documentation/docs/specs fix: address adversarial review findings 2026-06-23 08:28:30 -05:00
archive/2026-07-02 Archive rydberg_braid_cross_domain_scan.md 2026-07-02 03:44:36 +02:00
c fix(c,octave): C stack overflow test fuel, Octave instance methods 2026-06-30 18:26:10 -05:00
coq fix(coq): migrate all files to Rocq 9.0 imports (ZCompat, no ZArith) 2026-07-01 23:21:29 -05:00
Core chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
cpp fix(ports): C, C++, Go, Octave test fixes 2026-06-30 18:21:20 -05:00
data feat(spectral): f/Cartan integration — exact spiral packing, f(n) layout, Cartan Δ-floor, torus-winding fix 2026-07-01 20:53:47 -05:00
docs feat(semisym): §0 discriminator — Δ₃ verdict PROPER (∇R≠0, R·R≠L·Q); roadmap §0 active 2026-07-03 04:53:45 -05:00
exe refactor(rrc): rename corpus250→allFixtures/emitManifold, generic n-dimensional modules, Authentik deploy 2026-06-30 04:54:40 -05:00
experiments chore: add experiment file, gitignore qc_flag backups 2026-06-30 04:54:40 -05:00
external feat(prime-lut): add PrimeLut reader with embedded + binary LUT backends 2026-07-03 05:00:22 -05:00
extraction chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
formal fix(sorries): solve, weaken, or abandon all remaining sorries 2026-07-03 11:08:39 +00:00
fortran feat(cartan-dna): Cartan-DNA bridge — derive spectral gap from encoder 2026-06-30 20:06:38 -05:00
go fix(avm-review): resolve adversarial review findings 2026-06-30 19:01:47 -05:00
infra/sigs fix: CORE API works without auth key (User-Agent header), 274 signatures 2026-06-30 05:40:44 -05:00
julia docs: Hopf Portability Criterion + Ingest Bridge — 4-agent synthesis 2026-06-30 19:53:58 -05:00
octave fix(octave): floor_div use double division + floor instead of idivide with int32 2026-06-30 18:32:58 -05:00
python feat(semisym): §0 discriminator — Δ₃ verdict PROPER (∇R≠0, R·R≠L·Q); roadmap §0 active 2026-07-03 04:53:45 -05:00
qubo chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
r docs: Hopf Portability Criterion + Ingest Bridge — 4-agent synthesis 2026-06-30 19:53:58 -05:00
rust feat(semisym): exact-rational Rust discriminator — jet AD, checkpointed survey, Δ₇ verdict 2026-07-03 04:53:45 -05:00
scala feat(cartan-dna): Cartan-DNA bridge — derive spectral gap from encoder 2026-06-30 20:06:38 -05:00
scripts tag(axioms): justify all 18 custom axioms with HONESTY CLASS tags 2026-07-03 10:54:08 +00:00
signatures verify(classifier): cross-language classifier — Python confirms, 7 invariant 2026-06-30 20:53:48 -05:00
tests feat(spectral): f/Cartan integration — exact spiral packing, f(n) layout, Cartan Δ-floor, torus-winding fix 2026-07-01 20:53:47 -05:00
.gitignore chore: add rust/target/ to gitignore, clean up build artifacts 2026-06-30 17:42:53 -05:00
.gitmodules feat(prime-lut): add PrimeLut reader with embedded + binary LUT backends 2026-07-03 05:00:22 -05:00
.sops.yaml feat(wolfram): add Wolfram Alpha MCP server + SOPS-encrypted API key 2026-06-30 17:28:22 -05:00
AGENTS.md fix(avm-ports): align all 3 ports with Lean reference 2026-06-30 17:37:01 -05:00
BREAKGLASS_LOG.md feat(lean): Sidon-orthogonality bypass closes operator-norm gap 2026-06-26 23:36:55 -05:00
CITATION.cff Reorganize CITATION.cff for CFF reader compliance: fix license to Apache-2.0, add version/abstract/keywords, remove non-standard comments, clean up references 2026-07-02 04:10:03 +02:00
ERROR_INVENTORY.md fix: resolve all 5 audit issues for full self-verification 2026-07-01 19:53:18 +00:00
lake-manifest.json chore: update Mathlib manifest to v4.30.0-rc2 2026-06-23 07:54:26 -05:00
lakefile.lean feat(prime-lut): add PrimeLut reader with embedded + binary LUT backends 2026-07-03 05:00:22 -05:00
lean-toolchain fix: PVGS Mathlib compatibility — update imports + toolchain 2026-06-23 07:53:36 -05:00
PORTING_MANIFEST.md fix(coq): 8/9 axioms proven — Pos_mul_comm still Admitted (Rocq 9.0) 2026-07-01 23:20:36 -05:00
PORTING_MAP.md refactor(rrc): rename corpus250→allFixtures/emitManifold, generic n-dimensional modules, Authentik deploy 2026-06-30 04:54:40 -05:00
pytest.ini feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
README.md feat: README, CI pipeline, Dependabot config 2026-06-30 05:48:50 -05:00
REBASE_RULES.md feat(core): harden SilverSightCore and port canonical FixedPoint 2026-06-21 06:30:12 -05:00
requirements.txt fix: resolve h11 CVE-2025-43859 (critical) 2026-07-01 20:01:41 +00:00
SORRY_PROTOCOL.md docs(sorry-protocol): S1-S3 marked RESOLVED WEAKENED — Chentsov uniqueness → invariance 2026-06-23 06:00:46 -05:00
SORRY_RESOLUTION_S1S3.md chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00
TRACEABILITY_GRAPH.md chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00
VERIFICATION_LOG.md docs(verification): formulas 010-011 — τ parse tree + G2 collision breaking verified 2026-06-23 05:57:26 -05:00
WORK_LOG.md Update WORK_LOG.md - document past 5 minutes: integer spiral packing, f(n) layout, Cartan floor, torus winding, fingerprint resolution, 43/43 tests 2026-07-02 04:03:14 +02:00

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