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Semantic Resonance Measurement

Measure semantic resonance (E_resonance) to assess reasoning stability and coherence over time.

Based on the WFGY project: https://github.com/onestardao/WFGY

Instructions

  1. Initialize Resonance Analysis

    • Load semantic tree nodes (last 30)
    • Extract semantic residue values (B)
    • Calculate rolling windows (5, 10, 20 nodes)
    • Set resonance parameters:
      • Window size: 10 nodes
      • Decay factor: 0.9
      • Stability threshold: 0.3

  2. Calculate E_resonance

    E_resonance = Rolling_Mean(|B|) over last n nodes

Where:
B = Semantic residue from BBMC
|B| = Magnitude of residue
n = Window size

Weighted formula:
E_res = Σ(w_i * |B_i|) / Σ(w_i)
w_i = decay^(n-i)

  3. Analyze Resonance Patterns

    • Stable Resonance (E < 0.3):
      • Consistent reasoning
      • Low semantic noise
      • High coherence
    • Moderate Resonance (0.3 ≤ E < 0.6):
      • Normal variation
      • Acceptable noise
      • Manageable complexity
    • High Resonance (0.6 ≤ E < 0.85):
      • Increasing instability
      • Growing incoherence
      • Risk of breakdown
    • Critical Resonance (E ≥ 0.85):
      • System instability
      • Logic breakdown risk
      • BBCR trigger zone

  4. Identify Resonance Sources

    • Topic changes (high ΔS transitions)
    • Logic contradictions
    • Rapid context switches
    • Unresolved ambiguity
    • Accumulating errors

  5. Generate Stability Report

    • Current resonance value
    • Trend analysis
    • Contributing factors
    • Stabilization recommendations
    • Risk assessment

Output Format

SEMANTIC RESONANCE ANALYSIS
═══════════════════════════════════════
Current E_resonance: [value]
Stability Status: [Stable/Moderate/Unstable/Critical]

Resonance Visualization:
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
    Low         Medium        High
    0.0         0.5          1.0
    [═══════════▼═════════════]
              [value]

Resonance Over Time:
────────────────────────────────────────
1.0 │     ╱╲
0.8 │    ╱  ╲    ╱╲
0.6 │   ╱    ╲  ╱  ╲    ⚠️
0.4 │  ╱      ╲╱    ╲  ╱
0.2 │ ╱              ╲╱  ← Current
0.0 └──────────────────────────
    -30  -20  -10   0
        Nodes Ago

Window Analysis:
┌─────────────────────────────────────┐
│ Window  │ E_res  │ Trend  │ Status  │
├─────────────────────────────────────┤
│ 5 nodes │ 0.42   │ ↑      │ ⚠️ Rising│
│ 10 nodes│ 0.38   │ →      │ Stable  │
│ 20 nodes│ 0.35   │ ↓      │ ✓ Good  │
└─────────────────────────────────────┘

Resonance Components:
• Semantic Residue: [average |B|]
• Variation: [standard deviation]
• Peak Value: [max |B|]
• Frequency: [oscillation rate]

Stability Factors:
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
Positive (Stabilizing):
✓ Consistent topic focus
✓ Logical progression
✓ Low ΔS transitions

Negative (Destabilizing):
⚠️ Rapid context switches
⚠️ Unresolved contradictions
⚠️ Increasing complexity

Resonance Sources Identified:
1. Node [id]: High residue ([value]) - [reason]
2. Node [id]: Logic jump - [description]
3. Node [id]: Context switch - [description]

Harmonic Analysis:
• Fundamental Frequency: [value] cycles/node
• Dominant Period: [value] nodes
• Phase Coherence: [percentage]%
• Entropy: [value]

Risk Assessment:
────────────────────────────────────────
Current Risk: [Low/Medium/High/Critical]
Breakdown Probability: [percentage]%
Time to Critical (if rising): [nodes]

Stabilization Recommendations:
1. [Primary action to reduce resonance]
2. [Secondary measure]
3. [Preventive step]

Suggested Commands:
• Reduce resonance: /wfgy:bbmc
• Stabilize logic: /reasoning:chain-validate
• Focus attention: /wfgy:bbam
• Create checkpoint: /memory:checkpoint

Resonance Patterns

Stable Pattern

E: 0.2 → 0.2 → 0.3 → 0.2 → 0.2

Oscillating Pattern

E: 0.2 → 0.5 → 0.2 → 0.6 → 0.2

Rising Pattern (Warning)

E: 0.3 → 0.4 → 0.5 → 0.6 → 0.7

Critical Pattern

E: 0.7 → 0.8 → 0.85 → 0.9 → BBCR

Resonance Management

Reducing Resonance

  • Simplify reasoning
  • Focus on single topic
  • Resolve contradictions
  • Slow down transitions

Maintaining Stability

  • Monitor continuously
  • Early intervention
  • Regular checkpoints
  • Gradual changes

Recovery from High Resonance

  • Trigger BBCR
  • Return to checkpoint
  • Simplify approach
  • Reset context

Advanced Analysis

# Custom window size
/reasoning:resonance --window 15

# Frequency analysis
/reasoning:resonance --fourier

# Predictive modeling
/reasoning:resonance --predict 10

# Compare with baseline
/reasoning:resonance --baseline

Integration

Resonance measurement feeds:

  • /boundary:risk-assess for stability
  • /wfgy:bbcr for triggers
  • /semantic:node-build for recording
  • /memory:checkpoint for safety