
AbstractWe propose a phenomenological framework in which spacetime geometry, gravitationaldynamics, and classical emergence are parametrized by the irreversible evolution of quantumentanglement. The central object is a scalar constraint field Γ(x) characterizing thelocal coarse-grained rate of quantum correlation suppression. Introducing dimensionlesspotential φ ≡ Γ/Γ0 relative to cosmic baseline Γ0 ≈ H0, we show that spatial gradientsreproduce Newtonian gravity while deviations from unity define gravitational time dilation.The framework recovers GPS timing (< 0.3% error) and Hawking temperature as consistencychecks. We reinterpret cosmological constant Λ ∝ Γ20, reframing (not solving) thevacuum catastrophe. Beyond phenomenology, we develop: (i) variational action principlefor φ-dynamics, (ii) path toward tensor generalization and covariant field equation, (iii)speculative microscopic origin of Γ0 from horizon entanglement, (iv) Planck-scale quantumfluctuations predicting stochastic gravitational noise, and (v) multiple experimental testsincluding gravitational decoherence (gh/c2 ∼ 10−12) and neutron interferometry. This establishesa research program connecting entanglement renormalization, modular flow, andemergent gravity with clear theoretical and experimental directions.
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