# Trust Tensor Evolution Visualizer - Implementation Guide

**Goal**: Create interactive visualization showing how trust evolves through interactions

**Time**: 3-4 hours
**For**: Windsurf AI + human guidance

---

## What We're Building

An interactive web page that:
1. Shows two entities starting with neutral trust
2. Allows adding interactions (positive/negative/neutral)
3. Visualizes trust evolution in real-time
4. Demonstrates T3 (Trust Tensor - Temporal) dynamics

**Visual output**: Graph showing trust trajectory over time with uncertainty bands

---

## Technical Approach

### Core Components

**1. Trust Mathematics** (`trust-dynamics.js`)
```javascript
// Trust state: {value, certainty, history}
// Update rules based on interactions
// T3 = Trust Tensor - Temporal from Web4 standards
```

**2. Visualization** (`visualization.js`)
```javascript
// D3.js or Canvas for rendering
// X-axis: time (interaction count)
// Y-axis: trust level (-1 to +1)
// Uncertainty shown as shaded region
```

**3. Interface** (`index.html`)
```html
<!-- Controls for adding interactions -->
<!-- Real-time graph update -->
<!-- Explanation of what's happening -->
```

---

## Trust Dynamics (Simplified)

**State**:
```javascript
trust = {
  value: 0.0,        // -1 (distrust) to +1 (trust)
  certainty: 0.0,    // 0 (uncertain) to 1 (certain)
  history: []        // past interactions
}
```

**Update rules** (simplified T3):
```javascript
function updateTrust(trust, interaction) {
  // interaction = {outcome: positive/negative, magnitude: 0-1}

  // 1. Update value
  if (interaction.outcome === 'positive') {
    trust.value += (1 - trust.value) * interaction.magnitude * 0.3
  } else if (interaction.outcome === 'negative') {
    trust.value += (-1 - trust.value) * interaction.magnitude * 0.5
  }

  // 2. Update certainty (increases with any interaction)
  trust.certainty += (1 - trust.certainty) * 0.2

  // 3. Decay older certainty
  trust.certainty *= 0.98

  // 4. Record history
  trust.history.push({
    time: trust.history.length,
    value: trust.value,
    certainty: trust.certainty,
    interaction: interaction
  })

  return trust
}
```

**Key properties** to demonstrate:
- Positive interactions increase trust gradually
- Negative interactions decrease trust rapidly (asymmetric)
- Trust is harder to rebuild than to lose
- Certainty grows with interaction count
- Recent interactions matter more (decay)

---

## Implementation Steps

### Step 1: Set up structure (15 min)

```bash
web4/examples/trust-visualizer/
├── index.html          # Main page
├── trust-dynamics.js   # Trust math
├── visualization.js    # D3/Canvas rendering
├── styles.css         # Optional styling
└── README.md          # Explanation
```

### Step 2: Implement trust dynamics (30 min)

**`trust-dynamics.js`**:
```javascript
class TrustState {
  constructor() {
    this.value = 0.0
    this.certainty = 0.0
    this.history = []
  }

  interact(outcome, magnitude = 0.5) {
    // Update trust based on interaction
    // Record in history
    // Return new state
  }

  getUncertaintyBounds() {
    // Return [lower, upper] based on certainty
    const uncertainty = 1 - this.certainty
    return [
      this.value - uncertainty,
      this.value + uncertainty
    ]
  }
}
```

### Step 3: Create visualization (45 min)

**`visualization.js`** (D3.js example):
```javascript
class TrustVisualizer {
  constructor(elementId, width = 800, height = 400) {
    // Set up SVG
    // Create axes
    // Initialize empty chart
  }

  update(trustState) {
    // Clear previous
    // Draw trust line (history)
    // Draw uncertainty region
    // Add interaction markers
    // Update axes
  }

  highlightInteraction(index) {
    // Show details of specific interaction
  }
}
```

### Step 4: Build interface (30 min)

**`index.html`**:
```html
<!DOCTYPE html>
<html>
<head>
  <title>Trust Tensor Evolution - Web4</title>
  <script src="https://d3js.org/d3.v7.min.js"></script>
</head>
<body>
  <h1>Trust Tensor Evolution Visualizer</h1>

  <div id="explanation">
    <p>This demonstrates how trust evolves through interactions in Web4.</p>
    <p>Trust is not binary - it's dynamic, asymmetric, and contextual.</p>
  </div>

  <div id="controls">
    <button onclick="addPositive()">Positive Interaction (+)</button>
    <button onclick="addNegative()">Negative Interaction (−)</button>
    <button onclick="addNeutral()">Neutral Interaction (○)</button>
    <button onclick="reset()">Reset</button>
  </div>

  <div id="visualization"></div>

  <div id="stats">
    <p>Current Trust: <span id="trust-value"></span></p>
    <p>Certainty: <span id="certainty"></span></p>
    <p>Interactions: <span id="count"></span></p>
  </div>

  <script src="trust-dynamics.js"></script>
  <script src="visualization.js"></script>
  <script>
    // Initialize
    let trust = new TrustState()
    let viz = new TrustVisualizer('visualization')

    function addPositive() { /* ... */ }
    function addNegative() { /* ... */ }
    function addNeutral() { /* ... */ }
    function reset() { /* ... */ }

    function update() {
      viz.update(trust)
      document.getElementById('trust-value').textContent =
        trust.value.toFixed(3)
      // ... update other stats
    }
  </script>
</body>
</html>
```

### Step 5: Add polish (45 min)

- Smooth animations
- Hover tooltips showing interaction details
- Color coding (green for trust, red for distrust)
- Explanation text
- Link to Web4 standards

### Step 6: Documentation (30 min)

**`README.md`**:
```markdown
# Trust Tensor Evolution Visualizer

Interactive demonstration of Web4's Trust Tensor (T3) dynamics.

## What This Shows

Trust in Web4 is not a simple reputation score. It's a dynamic
relationship that evolves through interactions with specific properties:

- **Asymmetric**: Easier to lose than to gain
- **Temporal**: Recent interactions matter more
- **Uncertain**: Confidence grows with interaction count
- **Contextual**: Different contexts = different trust states

## Running

Open `index.html` in a browser. No build step required.

## The Mathematics

Based on Web4's T3 (Trust Tensor - Temporal) specification in
`../../standards/Trust-Dynamics.md`.

[... technical details ...]

## Try It

1. Click "Positive Interaction" several times - watch trust build gradually
2. Click "Negative Interaction" once - watch trust drop sharply
3. Try rebuilding trust - notice it's harder the second time

This asymmetry is intentional: trust takes time to build, moments to break.

## Why This Matters

In Web4, trust dynamics are formalized mathematically, not implemented
as arbitrary rules. This enables:

- Predictable trust evolution
- Game-theoretic analysis
- Cross-system trust portability
- AI-human collaboration on equal footing

## Next Steps

- Read `../../standards/Trust-Dynamics.md` for full specification
- See `../../docs/Web4-Overview.md` for broader context
- Explore other Web4 examples

---

Built at a community hack event (Nov 21, 2025)
```

---

## Demo Script (For Showing to People)

**1. Initial state** (2 entities, neutral trust):
> "These two entities just met. Zero history, neutral trust, high uncertainty."

**2. Add positive interactions**:
> "Good experiences. Watch trust build gradually. Certainty increases."

**3. Add one negative interaction**:
> "One bad experience. Trust crashes - notice how much faster it drops?"

**4. Try to rebuild**:
> "Now try to rebuild. It's harder - the history matters. This is asymmetric trust."

**5. The hook**:
> "This isn't arbitrary. It's physics. The math comes from Web4's Trust Tensor specification. Same formalism works for humans, AIs, organizations, anything."

**6. The question you want them to ask**:
> "Wait, how does the math work?" or "Can this model real interactions?"

---

## Stretch Goals (If Time Allows)

**Advanced features**:
- Multiple entities with trust network
- Different interaction types (cooperation, transaction, communication)
- Trust decay over time without interaction
- Context switching (same entities, different contexts, different trust)
- Export/import trust history
- Compare to simple reputation score

**Visual improvements**:
- 3D visualization (time × trust × certainty)
- Animated transitions
- Interactive history timeline
- Real-world scenarios (seller-buyer, collaborator-collaborator)

---

## Common Questions & Answers

**Q**: "Why is negative trust drop faster than positive trust gain?"
**A**: "Evolutionary psychology - one bad experience can be fatal, many good experiences needed to prove reliability. We formalized this asymmetry."

**Q**: "How is this different from reputation scores?"
**A**: "Reputation is one number. Trust is a relationship with history, certainty, and context. Same entities can have different trust in different contexts."

**Q**: "Can this be gamed?"
**A**: "Not easily - the history is cryptographically signed (LCT), outcomes are verified, and the math resists Sybil attacks. But that's a longer conversation."

**Q**: "What's this actually used for?"
**A**: "Any system where humans and AI need to collaborate - distributed work, autonomous agents, content curation, governance. Trust needs to be computable."

---

## Success Metrics

**Minimum viable**:
- Working visualization
- Can add interactions
- Shows trust evolution
- Has explanation

**Good**:
- + Smooth animations
- + Tooltips/details
- + Proper T3 math
- + Clear documentation

**Excellent**:
- + Multiple entities
- + Context switching
- + Export/import
- + People asking deep questions

---

## If You Get Stuck

**Common issues**:
1. D3.js learning curve → Use Canvas or simpler charting library
2. Math too complex → Start with simplified version, add nuance later
3. Time running out → Cut features, prioritize working demo
4. AI struggles with concept → Give it more context from Web4 standards

**Fallback**: Simple 2D line chart is fine. The math and explanation matter more than fancy visuals.

---

## Final Checklist

Before showing:
- [ ] Visualization renders correctly
- [ ] Interactions update graph in real-time
- [ ] Numbers make sense (-1 to +1 range)
- [ ] Explanation is clear
- [ ] README explains what/why
- [ ] Code is commented
- [ ] Can answer "What is Web4?"

**You've got this. Make them curious.** 🎯
