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

Read the equation

The source describes this relation in the following context: 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...

The golden ratio creates a soft ceiling preventing unbounded growth.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read Where 256 as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

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

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...

The golden ratio creates a soft ceiling preventing unbounded growth.

Where 256 = 16 strands × 16 dimensions.