Global tanh of mean state across 256 coordinates

Read the equation

The formula sums all 16×16 state coordinates, divides by 256, and takes tanh. It is therefore a monotone transform of their arithmetic mean, with range (−1,1) for finite inputs. It does not compare partitions, measure component variance, or establish a causal-integration property; the aggregate coherence label is the source’s interpretation of this mean-state score.

Terms & definitions

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.

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Original context

Step 3: Integration Metrics

φ_local = tanh(energy)                    // Per-strand coherence

φ_global = tanh(Σ(all states) / 256)     // Global coherence

Where 256 = 16 strands × 16 dimensions.

Step 4: Normalization (using golden ratio)

b = 1 / (1 + ||Ψ||² / φ)               // φ = 1.618...

φ_global = tanh(Σ(all states) / 256)     // Global coherence