# 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
