Abstract This repository contains the main manuscript and supplementary material for the SDAT/TCE research program, a computational investigation of topology-dependent coherence cost in dynamical networks. The study introduces the Topological Coherence Efficiency Index (TCEI), a composite metric designed to evaluate network performance by jointly considering coherence, stability, signal transmission, applied coupling strength, and internal friction. The central question is whether specific network structures can achieve coherent behavior at lower operational cost without increasing coupling strength. A progressive falsification framework was applied across multiple experimental phases, including Kuramoto oscillator networks, Stuart–Landau oscillators, congested transport systems, empirical networks, spectral intervention tests, and large-scale validation experiments. Results indicate that topology can significantly influence the operational cost of coherence under specific conditions. However, transferability across models is partial, and the observed advantage does not persist uniformly across scales. The manuscript reports both positive and negative findings, including the inversion observed in the N=500 scale test, and emphasizes the boundary conditions under which the SDAT/TCE framework appears valid. The work is presented as a computational preprint and does not claim the demonstration of a universal law. Files included: • SDATTCEMainManuscriptᵥ1. 4. pdf• SDATTCESupplementaryMaterialᵥ1. 4. pdf Keywords: complex networks, synchronization, Kuramoto model, spectral graph theory, topology, coherence cost, SDAT, TCE, computational modeling, complex systems.
Walter Menicacci (Mon,) studied this question.