Entangled Pairs Count

The Entangled Pairs Count is the number of entangled voxel pairs in the book's reference quantum substrate, 5 × 10⁴, obtained by pairing off the entangled fraction of all voxels. These pairs supply source-shared quantum correlations, drawn from the shared loop each pair's data passes through rather than sent across space, which support distributed quantum information processing across spatial separations; the pairs carry no message by themselves, and coordination still runs over ordinary channels, no faster than light. The count follows from the Entangled Fraction, a trade-off between the benefit of correlation and the decoherence cost of entanglement, applied to a lattice of 10⁶ voxels, with two voxels per pair. Together they make up the Entanglement Overlay Networks. The formal statement is N⧟ = f⧟ × N🟑/2 = 5 × 10⁴, where N⧟ is the number of entangled voxel pairs, f⧟ the fraction of voxels participating in entanglement networks, N🟑 the total number of voxels (10⁶) and 2 the pairing factor. All quantities are dimensionless [∅]; the book's check is consistent. It connects to the Entangled Fraction, Entanglement Overlay Networks, Voxel Lattice Structure and Macroscopic Entanglement Networks.