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

Abstract

We present a unified Entropic Scalar Effective Field Theory (EFT) in which local quantum entanglement entropy acts as a foundational source of spacetime geometry, gravity, and cosmic structure. In the framework, dark-matter phenomenology appears as vacuum entanglement deficits and dark-energy phenomenology as homogeneous entropic pressure. Newton’s gravitational constant and the galactic acceleration scale emerge from microphysical inputs rather than empirical galactic fitting. A discrete tetrahedral boundary ensemble supplies the microphysical closure chain: the combinatorial sharing entropy, closure parameter, edge-smoothness coupling, and horizon normalization are linked within a single UV-to-IR construction, with the first nonlocal shell giving the required horizon-closing correction. The Radial Acceleration Relation is fixed at EFT level by the same channel-resolved structure, while inertial mass is tied to entanglement content through a derived renormalization flow. A trace-coupled early-universe energy injection reduces the Hubble tension by roughly half. Technical appendices develop the sharing-entropy derivation from spin-network microstates, solar-system PPN consistency, and the electron mass as a closure check.

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