Hybrid Trust–entropy Closed-loop Control In Rhea‑ucm_ Evidence From Lattice Dynamics, Zadien-RHEA Sentinel, And Bayesian Cosmology Fits

This white paper consolidates three empirical threads into a single control‑theoretic claim: RHEA‑UCM’s trust–entropy loop is not merely descriptive, but operationally closing a dynamical system. 1) A polyphasic lattice (cellular / field‑based) experiment exhibits regime transitions and emergent clustering but suffers irreversible trust collapse under sustained entropy excursions. 2) A Sentinel vs. Lattice comparison, logged through a shared metrics schema, shows Sentinel sustaining high trust under perturbations that collapse lattice trust. 3) A Bayesian MCMC cosmology fit demonstrates that a RHEA‑style signal‑equation family can serve as a compact parametric generator for scale‑factor trajectories, producing coherent posterior structure and posterior predictive checks. We then introduce and evaluate a Hybrid Lattice→Sentinel experiment in which (i) lattice‑derived entropy fields drive Sentinel perception input, while (ii) Sentinel’s recursive behavior engine governs trust, drift response, and memory reseal dynamics. Across runs, the hybrid preserves memory‑store integrity (100% successful stores) while exhibiting controlled trust responses to entropy‑gradient structure. Author’s Note on Scope This document is a technical synthesis of uploaded evidence (CSV logs, scripts, figures, and a comparative matrix) and canonical external references (information theory, nonlinear dynamics, cybernetics, cosmology inference). Where the RHEA‑UCM vocabulary is used, it is used as a system‑engineering language, not as metaphor.