A mechanism is presented that reconciles the differing values of the Hubble expansion rate inferred from the cosmic microwave background (CMB) and from low–redshift distance–ladder observations. Within the Quantum Entanglement Spacetime Theory (QuEST) and under the QuEST Execution Protocol (QEP), an additive, explicitly time-nonlocal information term appears in the evolution relation for the QuEST expansion quantity θ(t). The leading correction is negligible in the early universe and becomes active at late times, increasing the inferred expansion rate at low redshift. Accordingly, two regimes are identified: early–time suppression consistent with CMB inferences, and late–time activation consistent with local measurements. The scope rests on Postulates 1 through 4 (P1–P4), together with finite correlation time and positive–semidefinite connected correlators; no external gravitational equations, actions, or fitted parameters are introduced. The framework yields testable predictions for the redshift dependence of the correction.