Entropic Scalar EFT: From Entanglement Microstructure to Gravity and Cosmic Structure

We propose that the vacuum has a finite local entanglement capacity and that matter consists of localized defects of that substrate. General relativity emerges as the low-energy capacity geometry rather than being assumed independently. A minimal tetrahedral microstructure determines, with no free parameters, all coefficients of a covariant scalar EFT through a closed ultraviolet-to-infrared chain. The theory recovers Newtonian gravity, fixes the galactic acceleration scale, produces a specific radial-acceleration law, and retains no gravitational slip with standard post-Newtonian values. Newton's constant is independently derived through two routes yielding the same scale. Extensions cover causal transport, a cosmological sector addressing the Hubble tension, a uniquely determined strong-field completion, and a Many-Pasts interpretation recovering Born-rule quantum mechanics with an entropic arrow of time.