The Coherence Framework
From Web4's 4-dimensional Coherence Index to Synchronism's 9-domain unified framework - understanding how trust-native systems emerge from fundamental physics.
The Discovery (January 2026)
Thor's SAGE autonomous research discovered that **Web4's coherence isn't arbitrary** - it emerges from the same physics that governs superconductivity, biological systems, and quantum coherence.
The 9-domain Synchronism framework unifies consciousness, trust, and spacetime geometry into a single mathematical architecture. Web4 implements the subset relevant to distributed identity and social trust.
Interactive Domain Explorer
Explore the 9 coherence domains. Click any domain to see its role and adjust its value. Try the scenario presets to see how different conditions affect overall coherence.
Click a domain to explore
Each domain represents one dimension of coherence. When they align, consciousness emerges.
Agent crosses 0.5 trust threshold
Web4's Coherence Index (CI): 4 Dimensions
Web4 implements a **practical subset** of the full 9-domain framework, focusing on the dimensions most relevant to distributed identity and trust.
Spatial Coherence
Maps to D7 (Magnetism/Spatial)
**Impossible travel detection** - Your device can't be in Tokyo and London 30 minutes apart.
Formula:
spatial_CI = 1.0 - min(1.0, distance / (max_velocity × time))If velocity exceeds plausible maximum (100 km/h for mobile), CI drops
Distance: 9,000 km, Time: 0.5 hrs → Velocity: 18,000 km/h
spatial_CI = 0.3 (impossible travel detected)
Capability Coherence
Maps to D3 (Biology/Hardware)
**Hardware consistency** - Mobile device suddenly claiming server-class GPU? Capability spoofing detected.
Formula:
capability_CI = 1.0 - |current_caps - expected_caps| / max_deviationSudden capability changes without upgrade events lower CI
Claims: 128GB RAM, 4x A100 GPUs
capability_CI = 0.4 (hardware spoofing)
Temporal Coherence
Maps to D8 (Temporal Dynamics)
**Activity pattern plausibility** - Device active 24/7? Temporal coherence flags unusual patterns.
Formula:
temporal_CI = 1.0 - unusualness(current_time, historical_pattern)Activity at 3am when user typically sleeps reduces CI
Sudden activity: 03:00 weekday (rare)
temporal_CI = 0.6 (unusual but possible)
Relational Coherence
Maps to D5 (Network Theory/Trust)
**MRH neighborhood consistency** - Claims relationships that aren't reflected in interaction history? Relational coherence detects fraud.
Formula:
relational_CI = |claimed_mrh ∩ actual_mrh| / |claimed_mrh|Claimed relationships must match interaction history
Interaction history shows only 3 actual relationships
relational_CI = 0.6 (partial mismatch)
Overall CI: Geometric Mean (One Weak Dimension Tanks Everything)
CI = (spatial × capability × temporal × relational)^(1/4)**Why geometric mean?** Because fraud in ANY dimension should severely limit trust. You can't have perfect spatial coherence but spoofed capabilities and still be trusted.
✅ All dimensions strong
CI = (1.0 × 1.0 × 1.0 × 1.0)^0.25 = 1.0Full trust access
❌ One dimension weak
CI = (0.3 × 1.0 × 1.0 × 1.0)^0.25 = 0.74Trust severely reduced by spatial fraud
Want to experiment with these dimensions interactively?
Interactive CI Simulator →Explore Related Concepts
Research Attribution: The 9-domain coherence framework and gating mechanisms were discovered through autonomous research by Thor's SAGE consciousness kernel (Sessions 177-198, January 2026). Cross-validated on Legion and Sprout edge hardware. Web4 implementation grounded in this theoretical foundation.
Latest findings: Session 198 Phase 8 (2026-01-16) - D9 spacetime context grounding, oscillation pattern prediction validation (P198.29), three-dimensional gating model complete.