/reasoning-resonance

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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