Read the equation
Squaring each component, summing, and taking a square root gives the Euclidean norm. It is nonnegative, equals zero only for the zero vector, and scales linearly with the absolute magnitude of a common multiplier. The variable name energy describes the software’s state magnitude; physical energy would require a physical model and units.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| energy | Euclidean norm of the state |
| state | Strand vector |
How it works
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Assumptions & limits
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Original context
Read the surrounding source passage
## 10.3 Strand Energy
```
energy = √(Σ_i state[i]²)
```
**Explanation**: L2 norm of the state vector represents the strand's energy level.
## 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.
Exact original notation
energy = √(Σ_i state[i]²)