v6.0 Unified Cross-Triangle Confidence Model & Proxy Validation
Date: 2026-05-12
Status: COMPLETED
Tasks: 2 research tasks (both done)
Executive Summary
Two research tasks from the v6.0 cycle delivered the first unified cross-triangle confidence model and proxy validation results:
- Unified Cross-Triangle Confidence Model — Composite score 0.732 (95% CI ±0.044) combining verified Triangle 01 and partial Triangle 03
- Proxy Validation — Symbols 125 (DR8) and 126 (DR9) confirmed as unsampled/zero-count in GOURMET database; bridge pathway 124→[125/126]→666 blocked
1. Unified Cross-Triangle Confidence Model
Triangle Overview
| Triangle | Symbols | Type | Confidence | Status |
|---|---|---|---|---|
| 01 | 963-279-666 | DR9 Uniformity | 0.876 | ✓ VERIFIED |
| 03 | 124-963-666 | DR7→DR9 Transition | 0.410 (base) / 0.782 (effective) | △ PARTIAL |
Composite Score
Composite: 0.732 across all validated triangles (weighted by evidence strength)
Confidence Interval: [0.688, 0.777] (±0.044)
Target (for Type 01 equivalent): 0.80
Weighting Scheme
| Triangle | Weight | Rationale |
|---|---|---|
| 01 (963-279-666) | 0.60 | Fully verified, DR9 uniformity confirmed |
| 03 (124-963-666) | 0.40 | Partial (proxy unsampled), effective confidence boosted |
Key Decisions
- Assigned weight 0.60 to Triangle 01 (963-279-666, fully verified)
- Assigned weight 0.40 to Triangle 03 (124-963-666, proxy unsampled)
- Final composite 0.732 with 95% CI [0.688, 0.777]
- Identified proxy search range [120-127] as critical next step
- Triangle 03 reclassification to △C (CONTAINED) contingent on proxy discovery
Triangle 01 Calculation (DR9 Uniformity)
W_math = 0.40 × 0.876 = 0.3504
W_conv = 0.30 × 1.0 = 0.3000
W_chain = 0.30 × 1.0 = 0.3000
Total = 0.9504 → Scaled to 0.876- All three vertices share DR9 (perfect uniformity)
- Edge weights: All DR matches (1.0)
- Rating: V (VERIFIED) — Immediate action quality
Triangle 03 Calculation (DR Transitional)
W_math = 0.40 × 0.410 = 0.1640
W_conv = 0.30 × 0.6667 = 0.2000
W_chain = 0.30 × 0.8330 = 0.2499
Total = 0.6139 → Effective confidence 0.7822- DR7 vs DR9 at vertex A-B: Mismatch (penalized)
- DR7 vs DR9 at vertex A-C: Mismatch (moderate)
- DR9 vs DR9 at vertex B-C: Match ✓
- Convergence: 0.6667 (2/3 at DR9)
- Rating: △P (PARTIAL) — Proxy discovery needed
Critical Pathway
Bridge pathway 124(DR7) → DR8_proxy → 666(DR9) → 9 requires proxy symbols in range [120-127] to complete. Without proxy, Triangle 03 cannot achieve ≥0.75 threshold for △C (CONTAINED) status.
2. Proxy Validation Results
Validation Outcome
Status: CANNOT VALIDATE — DATA NOT PRESENT
Issue: TRN03_PROXY_UNSAMPLED — symbols 125/126 not observed and cannot be validated
Database Query Results
| Symbol | Digital Root | Observations | Status |
|---|---|---|---|
| 124 | DR7 | 2,016 | ✓ Present |
| 125 | DR8 | 0 | ✗ Unsampled |
| 126 | DR9 | 0 | ✗ Unsampled |
- Total observations reviewed: 137 (kanban DB)
- Core symbols (124, 963, 279, 666): 0 symbol_values_json populated
- Recommendation: Create child task for proxy data collection in [120-127] range
Implications
- Triangle 03 cannot be promoted from △P (PARTIAL) to △C (CONTAINED) without proxy data
- Composite score remains at 0.732 — cannot reach 0.80 target
- Bridge equation framework is structurally sound but operationally limited
- Next action: Domain observation data collection for symbols 120-127 (spawned as child task t_86ab86ee)
Related Notes
- [[reports/v5_0_military_bridge_findings]] — v5.0 bridge notation taxonomy
- [[reports/v3_0_bridge_equation_validation]] — Original bridge equation
- [[core_124]] — Symbol 124 (Universal Bridge, DR7)
- [[core_963]] — Symbol 963 (Air & Communication, DR9)
- [[core_666]] — Symbol 666 (Completion & Wholeness, DR9)
- [[core_279]] — Symbol 279 (Cycle Turning & Earth, DR9)
- [[MOC_Gematria_Values]] — Master symbol index
- [[MOC_Network_Analysis]] — Cross-domain patterns