# π Smart Connections β Chain Metrics
## Simple Approach: Connection Density = Effective Sample Size
### 1. Weekly Connection Count
In each chain folder, create a note: `week-{{date}}-connections.md`
```markdown
## Chain Connections This Week
π’ β π
: [[note1]] β [[note2]] (validated theory)
π
β π: [[process1]] β [[execution1]] (implemented)
π β πΎ: [[project1]] β [[feedback1]] (user tested)
πΎ β π’: [[insight1]] β [[experiment1]] (new hypothesis)
**Total Cross-Chain Links**: _
```
### 2. Calculate ESS (Effective Sample Size)
```
ESS = Number of cross-chain connections
```
- High ESS = Ideas flowing between chains
- Low ESS = Stuck in silos
### 3. Calculate R-hat (Simple Version)
```
Within-chain links = Links inside same folder
Between-chain links = Links across folders
R-hat = 1 + (Within-chain links / Between-chain links)
```
- R-hat < 1.5 = Good mixing
- R-hat > 2.0 = Too siloed
### 4. Convergence Plot (Manual)
Track weekly in a table:
| Week | π’βπ
| π
βπ | πβπΎ | πΎβπ’ | R-hat |
|------|-------|-------|-------|-------|-------|
| W1 | 3 | 2 | 1 | 0 | 2.4 |
| W2 | 4 | 3 | 2 | 1 | 1.8 |
| W3 | 5 | 4 | 3 | 2 | 1.4 |
| W4 | 5 | 5 | 4 | 3 | 1.2 |
### 5. Smart Connections Query
Use Obsidian search to find cross-chain links:
```
path:1_π’ [[2_π
path:2_π
[[3_π
path:3_π [[4_πΎ
path:4_πΎ [[1_π’
```
## Practical Implementation
1. **Daily**: When creating notes, explicitly link to other chains
2. **Weekly**: Count cross-chain links using Smart Connections graph
3. **Monthly**: Plot R-hat trend - should decrease over time
## Visual Check in Smart Connections
- Healthy: Dense connections between all 4 chain clusters
- Unhealthy: Isolated clusters with few bridges
**Key Insight**: More cross-chain links = more ergodic life