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The mixing coefficient is 0.01(φ−1)≈0.00618034. The state takes a little over six tenths of one percent of the gap to the supplied stability value on each update. A fixed stability target is approached geometrically; the formula does not independently establish that the target is a valid measure of coherence.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| x | Current state |
| stability | Target input |
| φ | Golden ratio |
How it works
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Assumptions & limits
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Original context
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## 3.16 Family 15: Global Coherence (Kehillah)
```
f₁₅(x) = x + (φ - 1) · 0.01 · (stability - x)
```
**Equation Type**: Coherence accumulator: φ-weighted convergence
**Explanation**: Slowly converges toward stability using golden-ratio-weighted adjustment. Named "Kehillah" (Hebrew for "community/congregation"). This family maintains global system coherence.
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# 4. Meta-State Update Equations
## 4.1 Single-Stack Master Equation
```
Ψ(t+1) = F(Ψ(t), Ψ(t-1), inputs)
```
**Where**:
- `Ψ(t)` = 17-dimensional meta-state vector (16 families + normalizer)
- `inputs` = {dx_norm, ed_error, utility, stability}
Exact original notation
f₁₅(x) = x + (φ - 1) · 0.01 · (stability - x)