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allaun
359effdfc6
STEP 1 — integer spiral-index packing (EXACT): pack_spiral_index/ unpack_spiral_index with corpus-wide base=2·max|c|+1 and offset-encoded digits, recorded in the codebook JSON header; round-trip verified over all 250 matrices. Fixes the sign bug in integration_sprint.py's integer path (unoffset signed packing collapsed (-1,1) with (1,0) in base 2). STEP 2 — f(n) layout (DECORATIVE): per-entry radius_sq + angle_frac, computed in decimal arithmetic (indices reach ~1e44 >> 2^52); verified against VERIFICATION_LOG V007 f(20121); min angular separation ≈4.64e-6 of a turn reported. STEP 3 — Cartan Δ-floor (--cartan-floor): Δ=17/1792 exact (CartanConnection.lean:70) as Fisher-distance resolution floor on Δ₇; 13 sub-Δ pairs merge 196 fingerprints into 187 Δ-resolution codewords vs 9 gap-rule clusters; emitted alongside, not replacing, the 3×-median rule. Caveat asserted in tests: the |c|/Σ|c| simplex projection is lossy (one corpus pair at Fisher distance 0) — similarity, not identity. STEP 4 — torus-winding saturation fix: TorusWinding gains a_exact/b_exact (plain ℤ, no Q16.16 clamp); torus_to_spiral_index prefers them, making the round trip lossless (regression-tested at n=1e9). BraidEigensolid.lean needs the same widening — noted, Lean untouched. Also corrects charpoly_codebook.py's stale docstring counts (192/180 → 196/182, cross-checked against the exact Faddeev–LeVerrier fingerprints: identical on all 250 matrices). Tests: 43 passed (19 new). Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> |
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| .. | ||
| adversarial_review | ||
| build_logs | ||
| concept_map | ||
| first_principles | ||
| fundamental_math | ||
| refactor | ||
| research | ||
| reviews | ||
| ARCHITECTURE.md | ||
| avm_isa_audit.md | ||
| avm_ports_audit.md | ||
| cartan_dna_derivation.md | ||
| cartan_fingerprint.md | ||
| CLAIMS_STATUS.md | ||
| FIX_DESIGN.md | ||
| gemma4_pdf_benchmark.md | ||
| generate_porting_candidates.py | ||
| generate_project_map.py | ||
| generate_research_stack_usage_map.py | ||
| GLOSSARY.md | ||
| GLOSSARY_ALLOWLIST.md | ||
| GOORMAGHTIGH_SPECTRAL.md | ||
| hachimoji_torsor_consequences.md | ||
| helical_encoding.md | ||
| hopf_ingest_bridge.md | ||
| hopf_portability_criterion.md | ||
| milestone_avm_11_port_coverage.md | ||
| noether_route.md | ||
| PROJECT_MAP.json | ||
| PROJECT_MAP.md | ||
| research_stack_usage_graph_thumb.png | ||
| rossby_e8_completion_roadmap.md | ||
| rotational_wave_braid_correspondence.md | ||
| SPECTRAL_CODEBOOK_ANALYSIS.md | ||
| SPECTRAL_CODEBOOK_GENERATOR.md | ||
| THEOREM_STACK.md | ||
| transform_series.md | ||
