We develop a framework in which gravitation emerges from decoherence-driven gradients in a coarse-grained entanglement density field, subject to a cross-scale closure constraint enforcing consistency between microscopic quantum correlation response and macroscopic geometric dynamics. An effective entanglement density field φ(x) is introduced as a macroscopic descriptor of relational quantum coherence. Environmental decoherence induces spatial gradients in φ(x), generating candidate geometric deformations at leading derivative order. However, these deformations are not uniquely determined by entanglement structure alone. We show that requiring consistency between ultraviolet correlation response across regulated null surfaces and geometric null focusing imposes a closure condition enforcing equality of null–null projections of the Ricci and stress–energy tensors. Under standard effective field theory assumptions—Lorentz invariance, universal metric coupling, and absence of additional light gravitational degrees of freedom—this condition uniquely fixes Einstein structure at leading derivative order. Gravitation is thus interpreted as the unique macroscopic geometry compatible with decoherence-driven entanglement dynamics under cross-scale consistency. The framework provides both a mechanism for geometric emergence and a selection principle for viable macroscopic structure, yielding testable deviations in regimes where closure conditions are perturbed.
Matthew Dominik (Thu,) studied this question.