Local tanh score of accumulated activity

Read the equation

This version transforms its nonnegative activity accumulator through tanh, increasing from zero toward one as the accumulator grows. It differs from the older reciprocal-norm local score, which decreases with activity magnitude. Neither name can replace the actual formula when comparing generations.

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.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

energy = 0.99 × energy + 0.01 × |Σ state|

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)

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