Universal Exponential Barrier Sensitivity in Heterogeneous Complex Systems (EBS)

A statistical framework is introduced for persistence and transition dynamics in heterogeneous complex systems. The formulation proposes that event rates exhibit exponential sensitivity to effective stability barriers relative to fluctuation intensity. Macroscopic transition rates emerge from distributions of local barrier strengths through heterogeneous barrier escape processes. The framework predicts log-linear scaling between event rates and stability measures and explains the emergence of non-exponential macroscopic persistence behavior. The formulation connects barrier-controlled transition dynamics to rare-event stochastic processes and large-deviation structure. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/