Deterministic Spectral Residual Inference for Swarm Interaction Networks: A DSFB Framework for Structural Phase Stability

To the best of our knowledge, this is one of the first structured frameworks that integratesspectral residual drift, slew, and deterministic envelopes as structural forensic signals with finite-time detectability conditions and perturbation bounds, supporting trust-gated LT (t) and earlyanomaly certificates in swarm interaction networks.Swarm systems and active matter models are typically analyzed through either deterministicdynamical equations with assumed structure or stochastic statistical mechanics frameworksemphasizing ensemble behavior and noise-driven phase transitions. This paper introduces acomplementary perspective: deterministic structural inference of swarm interaction dynamicsthrough spectral…