Read the equation
This reciprocal transform assigns score one to zero state magnitude and approaches zero as magnitude grows. A magnitude equal to φ produces a score of one half. The equation therefore favors lower activity magnitude; the label coherence does not change that operational interpretation.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| φ_local | Local model score |
| energy | State Euclidean norm |
| φ | Golden ratio |
How it works
Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.
Assumptions & limits
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Original context
Read the surrounding source passage
## 10.4 Local Coherence
```
φ_local = 1 / (1 + energy / φ)
```
**Explanation**: Each strand has local coherence inversely related to its energy, normalized by the golden ratio.
## 10.5 Global Lattice Coherence
```
φ_global = (1/16) · Σ_{s=0}^{15} φ_local,s
```
**Explanation**: Mean local coherence across all 16 strands.
## 10.6 Hebbian Learning
```
ΔW[i][j] = η · state[i] · state[j]
W[i][j] ← clamp₋₁₊₁(W[i][j] + ΔW[i][j])
```
**Explanation**: Weights strengthen between co-active units (Hebbian principle: "neurons that fire together wire together").Exact original notation
φ_local = 1 / (1 + energy / φ)