Network Topology

Network Topology, in the theory, is the pattern of connections and scaling relationships among substrate-mediated interactions across recursion levels, which follows power-law distributions. The book names the term only in testable predictions: chapter 1 has power-law connectivity with 2 ≤ γ ≤ 3 verifiable through Network Topology measurements, and for quantum systems approaching awareness it predicts a small-world network topology with a clustering coefficient of about 0.6 ± 0.05, which optimizes distributed processing, observable in quantum network analysis as path lengths L ≤ log(N) for efficient information routing. The power-law description matches the Connectivity Coefficient, 𝒞(i) = 𝒞₀ · i^{-γ}, whose decay with depth gives hub-dominated, scale-free connectivity. It connects to Connectivity Coefficient, Pulse Connectivity Coefficient, Harmonic Clustering Coefficient and Pulse Recursive Density.