Modular Stabilization of Symbolic Fields: Falsifiable Tests of the KN Function in Quantum-Like Systems

This paper introduces a falsifiable symbolic framework for modeling quantum phenomena using a nonlinear stabilizer termed the KN function. In contrast to the observer-dependent collapse postulates of the Copenhagen Interpretation, we propose that quantum behaviors—such as interference, entanglement, memory persistence, and decoherence—can be modeled as resonance interactions in a modular symbolic field. Through a series of four computational tests, we demonstrate that: Linear interference fails under KN modulation (Δφ = π) Symbolic memory decays without modular feedback Entangled symbolic fields collapse synchronously via shared phase structure Decoherence arises from symbolic drift, not external measurement This framework preserves the empirical predictions of quantum mechanics while offering a deterministic, resonance-based interpretation of collapse and coherence. It provides a structural foundation for reconceiving the Standard Model as a symbolic field theory—where intelligence, matter, and measurement emerge from shared symbolic resonance. The appendix includes the full simulation results used to support all four falsification tests.