Infrared Observational Evidence for Non-Local Cosmic Dynamics: A Model-Independent Closure Test from Expansion Data

This work presents a model-independent test of the dynamical closure of cosmic expansion using direct observational reconstructions of the Hubble rate H(z). The central question addressed is whether late-time cosmic dynamics can be consistently described as a local (Markovian) process, or whether the data require a fundamentally non-local (memory-dependent) structure. To probe this, we construct a dimensionless dynamical observable, R(u) = u′ u(3 −u) , u≡−2dlnH dN , N=lna, (1) which isolates deviations from minimal logistic closure expected in finite-capacity systems. This observable is evaluated using a fully reproducible and robustnesscontrolled protocol (N4), incorporating independent reconstructions of H(z), covariance propagation, and stability under window variation. Using Cosmic Chronometers, Pantheon+ supernovae, and DESI DR1 BAO data, we find that R(u) is smooth and stable across reconstructions but significantly inconsistent with a constant value. This result provides direct observational evidence against purely local dynamical closure and supports the presence of non-Markovian contributions in the infrared dynamics of cosmic expansion. We show that the observed structure is naturally described by a minimal extension of logistic dynamics including memory terms, and that this behavior is consistent with the Causal Limited Entropic Optimization (CLEO) framework Coutinho [2026a,b,c], where cosmic acceleration emerges as a finite-capacity entropic relaxation process. In this context, the Law of Deep Organization (LOP) is introduced as a minimal organizing principle selecting dynamically persistent configurations in open systems. These results establish a new observational window into the fundamental structure of cosmic dynamics, suggesting that late-time expansion encodes non-local information and may reflect deeper organizing principles beyond standard local effective descriptions.