Cascade Admissibility and Inter-Level Persistence Under Irreversible Dynamics

“Cascade Admissibility and Inter-Level Persistence Under Irreversible Dynamics”by Dimitri Cerny. This paper develops a structural condition governing persistence of nonequilibrium organization under irreversible dynamics. Persistent structures are modeled as constraint-defined identity regions, and persistence beyond passive relaxation is shown to require three jointly necessary and sufficient conditions: internal coherence, external coherence, and lateral coherence. For systems coupled across resolution levels, the framework yields a cascade admissibility bound: the aggregate support flux delivered through active couplings must exceed a minimum sustaining rate set by contractive relaxation at the higher level. The theory further identifies two distinct persistence horizons—the passive horizon determined by intrinsic relaxation and the operational horizon determined by the surviving coupling structure. The manuscript connects multiscale persistence, information flow, coarse-graining, and irreversible thermodynamics within a unified geometric framework.