SilverSight/WORK_LOG.md

SilverSight Work Log

2026-06-26

Sidon-Orthogonality Bypass

Files: formal/SilverSight/PIST/UnifiedCovariant.lean, docs/reviews/SIDON_ORTHOGONALITY_BYPASS_FORMULA.md, docs/reviews/CONJECTURE_UPGRADE_ROADMAP.md, BREAKGLASS_LOG.md, AGENTS.md

Closed the operator-norm gap (TODO(lean-port: operator_norm_bound)) by replacing spectral-radius analysis with a computable L∞ row-sum bound over Fin 8.

Key results:

• crossingMatrix: Matrix (Fin 8) (Fin 8) ℚ with explicit Sidon entries
• maxRowSum — L∞ row-sum norm, verified by dec_trivial
• crossing_matrix_norm_bound: maxRowSum ≤ 1775/1792
• braid_operator_contractive: ‖C·s‖_∞ ≤ r·‖s‖_∞
• Removed deprecated EigensolidConvergenceHypothesis
• lake build SilverSight: 3307 jobs, 0 errors

Branch cleanup

• Deleted stale remote branch v4-verified-engine
• SilverSight: main only (local + remote)
• BioSight confirmed: master only (local + remote)

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2026-06-26 (earlier)

Cold Reviewer Protocol + Unified Covariant Field Theory

Files: formal/SilverSight/PIST/UnifiedCovariant.lean, docs/reviews/COLD_REVIEWER_FORMULA.md, docs/reviews/BREAKGLASS_FUSION_REVIEW_SPEC.md

Initial rewrite with Cold Reviewer Protocol header:

• Layer 1: 4 discrete invariants, 0 sorries (φ²-φ-1=0, σ-τ=17/1792, F₇=13∧F₈=21, Sidon uniqueness)
• Layer 2: J²=J+I, Sidon crossing matrix
• Layer 2b: eigensolid_convergence upgraded from hypothesis to theorem (real analysis, squeeze theorem)
• Layer 3: 7 sorries (geometric conjectures deferred pending Mathlib)

Three red flags eliminated with ⚠ RED FLAG AVOIDED annotations:

• J²=-I → J²=J+I
• Δ₇ Kähler → ℂℙ⁷
• dim(TL₇)=13 → dim(TL₇)=429

Cold Reviewer Protocol

Files: docs/reviews/COLD_REVIEWER_PROTOCOL.md

Standalone protocol document with explicit two-gate structure (Arithmetic + Structural), step-by-step calculator verification for each invariant, extension rules, and binary PASS/FAIL decision procedure.

Cartan Connection Formula

Files: docs/reviews/CARTAN_CONNECTION_FORMULA.md

Standalone formula for the hardest Layer 3 conjecture: a Cartan connection of type (SO^0(1,6) x R^7, SO^0(1,6)) on J^1(Delta_7). Covers the Klein geometry model, Sidon pinning of curvature, algebraic implementation path via LieAlgebra + BilinForm.

Branch cleanup

• Deleted stale remote origin/v4-verified-engine
• SilverSight: main only; BioSight: master only

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Pre-2026-06-26

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2026-07-02

Integer Spiral Packing Fix

Status: RESOLVED

• Upstream rewrote phi_corkscrew_index: packed signed coefficients without offset encoding
• Bug: Not injective ((-1,1) and (1,0) both give 1 in base 2)
• Fixed in upstream
• Added canonical corpus-wide version to spectral_codebook.py
• Base: 328,469 / Offset: 164,234 recorded in JSON header
• Unpack inverts exactly
• Round-trip verified over all 250 matrices

f(n) Layout (Decorative) - NEW

Status: IMPLEMENTED

• Each entry gets radius_sq (= spiral index) and angle_frac
• Computed in decimal (indices reach ~10^44 where float64 keeps zero fractional bits)
• Verified against VERIFICATION_LOG V007: f(20121) reproduces (-137.80079576, -33.64432624)
• Min angular separation: ≈ 4.6×10^-6 of a turn

Cartan Δ-Floor Enhancement

Status: IMPLEMENTED

• Upstream only had 1-D ρ-snapping
• Added Fisher version on Δ_7 with Δ = 17/1792 exact (CartanConnection.lean:70)
• 13 fingerprint pairs fall below Δ
• Merging 196 fingerprints into 187 Δ-resolution codewords vs 9 gap-rule clusters
• Both rules emitted side by side
• Caveat: |c|/Σ|c| projection destroys sign/scale
• This corpus has two distinct fingerprints at Fisher distance exactly 0
• Fisher layer is similarity, not identity

Torus Winding Improvement

Status: IMPLEMENTED

• Upstream's _safe variant only detected saturation
• TorusWinding now carries a_exact/b_exact (plain ℤ)
• torus_to_spiral_index prefers them
• Round trip lossless
• Regression-tested at n = 10^9
• Note: Lean mirror in BraidEigensolid.lean needs same widening (noted in docstring, Lean untouched)

Fingerprint Discrepancy Resolution

Status: RESOLVED

• 192-vs-196 fingerprint discrepancy was stale docstring
• Both methods agree coefficient-for-coefficient on all 250 matrices (196 unique)
• 43/43 tests pass (19 new)
• Docs extended with exact-vs-decorative labels per layer