Implements the Next Steps of docs/SPECTRAL_CODEBOOK_ANALYSIS.md as
python/spectral_codebook.py (stdlib-only; NumPy optional fast path):
- Parses the 250 8x8 braid adjacency matrices from PIST/Matrices250.lean.
- Primary fingerprint: exact integer characteristic-polynomial
coefficients via Faddeev-LeVerrier in Fraction arithmetic (196 unique
over 238 distinct matrices, vs 179 unique lambda at 4dp; 6 cospectral
non-identical groups; 11 exact-duplicate matrix groups / 23 ids).
- Corrects the analysis doc: the 9 'mid band' lambda in (0.5,1) are
power-iteration non-convergence artifacts - exact rho = 1.0 for all 9
(peripheral spectra). spectral_radius is now the exact max root
modulus (numpy eigvals or Durand-Kerner on the exact char poly);
power-iteration lambda kept only for traceability.
- Gap-aware quantization: dedupe to 238 distinct matrices, boundaries at
gaps > 3x median gap, min-support guard (>=10 distinct per cluster),
sparse-tail outlier flagging above lambda ~= 7.66. Result: 9 clusters.
- Round trip encode(matrix) -> (codeword, index) -> decode -> equation_id
verified bijective over all 250 in tests/test_spectral_codebook.py.
- 278-row RRC/Q16_16Manifold corpus: 28 extra rows are repeated ids;
boundaries reproduce exactly, no new gaps or clusters.
- Emits data/spectral_codebook.json (schema spectral_codebook_v2) with
explicit collision classes; docs/SPECTRAL_CODEBOOK_GENERATOR.md notes
the hashMatrix base-5 injectivity gap and the ClassifyN threshold
(1.5/4.0 Q16.16) vs analysis-doc (0.5/1.0) mismatch.
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Python port rewritten to match spec:
- Added Q0_16, PUSH_Q0, PUSH_BOOL as separate opcodes
- Added V6 comparison (lt_q16_v6)
- Added floor division (Lean Int.ediv)
- Added stack depth limit (AVM_MAX_STACK = 1024)
- Added type checking in exec_prim
- All 10 tests passing
Go AVM port: added test_avm_test.go with 8 test cases
Milestone: Python → ✅, Go → 🔄
- HachimojiN8: n8_is_minimum had inverted truth (claimed allOk=true for N<8
but the theorem proves allOk=false for all N<8). Fixed statement.
- Tests: 9/9 Lean module tests passing (FeasibleSet, RRC Emit, Q16_16Manifold,
FixedPoint, SidonSets, InteractionGraphSidon, GoormaghtighEnumeration, HachimojiN8)
- Entry gate now checks GoormaghtighEnumeration (2 known Goormaghtigh collisions:
31 and 8191) as a cached-artifact check (heavy decide ~480K quadruples)
- SidonSets added to entry gate (Erdos bounds on Sidon sets)
Critical bug fix: dna_codec.py used biological base ordering (ATGCBSPZ)
instead of ASCII-ordered spec ordering (ABCGPSTZ). This violated the core
monotonicity axiom (int rank = lexicographic rank) that the entire monotone
LUT pipeline depends on.
Changes:
- python/dna_codec.py: BITS_TO_BASE, HACHIMOJI_BASES, LATIN_TO_GREEK
corrected to ABCGPSTZ ordering; encode_binary_vector parameter renamed
bases_per_var; module docstring updated
- tests/test_dna_codec.py: hardcoded byte→DNA expectations updated for new
ordering (0xFF→ZZT, 0xd1→TPC); bases_per_var parameter name updated;
31/31 tests green
- formal/CoreFormalism/HachimojiLUT.lean: replace fragile
canonical_phases_preserved.2.2.2.2.2.1 chains with named obtain
destructuring in pythagorean_position and contradiction_position
- docs/UNIFIED_THEORY.md: add ground-truth caveat to epigenetic optimizer
results table (n≥24 results are local optima, not verified global minima)
Note: test_dna_nn.py has 4 pre-existing failures (Ising chain correlations)
unrelated to this fix — dna_qubo_nn.py has its own base encoding and does
not import dna_codec.py.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
Ports three Research Stack RRC gates into formal/SilverSight/RRC/ using the existing CoreFormalism braid and Q16_16 surfaces.
Adds a Lean ↔ C ↔ Python Q16_16 roundtrip test:
- c/q16_canonical.c: canonical saturating Q16_16 C library
- exe/Q16_16Roundtrip.lean: Lake extern_lib linked executable
- tests/test_q16_roundtrip.py: Python ↔ C harness (revived from quarantine)
Updates lakefile.lean with q16-roundtrip executable and extern_lib q16_canonical.
Build: lake build SilverSightRRC 3006 jobs, 0 errors; q16-roundtrip 5949 jobs, 0 errors
