This work derives the length distribution of wormhole connections in the Granular Entropic Physics (GEP) framework. We consider a network of microscopic nodes connected by wormhole-like links and analyze how these links contribute to entanglement entropy across spherical surfaces. By combining a geometric scaling argument for the flux of connections with a holographic bound on entanglement entropy, we show that the distribution must decay at least as fast as an inverse-square law. We then argue that an entropy maximization principle selects the slowest admissible decay, leading to a probability distribution proportional to 1/r². This result has direct consequences for the large-scale behavior of the network. In particular, it implies a Lévy-type distribution with exponent μ = 1 and leads to a spectral dimension ds = 6, consistent with numerical simulations. The derivation relies only on general geometric considerations and entropy constraints, making the result largely independent of microscopic details.
Štěpán Sekanina (Mon,) studied this question.