The SIR (Structure, Interference, Resonance) Framework: A Relational Ontology of Recursive Resonance, Dissipative Observers, and Graph Topology

This paper addresses the fundamental epistemological fracture characterized by the exclusion of the observer from classical physical descriptions. To bridge the gap between thermodynamic chaos and the emergence of agency, we propose the Structure, Interference, Resonance (SIR) framework – a monistic ontology synthesizing principles from non-equilibrium thermodynamics, relational graph topology, and information theory. To validate this ontological framework, we applied it to neurophysiological time-series data using the Bonn University EEG Dataset. We demonstrate that the "observer" can be operationally defined as a locally stable configuration of recursive resonance. Our results show that the transition from a healthy state ("Interference") to pathological synchronization ("Hyper-Resonance") is accompanied by a measurable collapse in Lempel-Ziv complexity, confirming the framework's predictive power. Rejecting the classical axiom of space-time as a passive container, SIR posits Interference as the primary substrate, where the observer emerges via spontaneous symmetry breaking and is maintained through the continuous dissipation of entropy. Unlike prior applications of Lempel-Ziv complexity in seizure detection, which utilize the metric primarily as a diagnostic feature, SIR offers mechanistic insight into observer emergence via thermodynamic and topological lenses.