We introduce Entanglement-Weighted Operator Geometry (EWOG), a quantum-informational framework in which classical spacetime curvature emerges as the expectation value of operator-valued geometric quantities weighted by the entanglement structure of an underlying quantum state. We derive effective cosmological dynamics where the Hubble expansion is governed by a single entanglement density functional ₄₍ₓ (z) that unifies early inflation, late-time acceleration, and enhances structure growth at high redshift. We prove that Quantum Quadratic Gravity (QQG) ---with its R² and Weyl² terms---emerges as an exact low-energy effective theory of EWOG when the entanglement-curvature covariance is negligible, thereby establishing EWOG as a rigorous hierarchy. Motivated by recent JWST discoveries of massive galaxies at z>10 (GN‑z11, luminous red disks, cosmic vine/grape), we perform a Bayesian model comparison among CDM, QQG+, and EWOG using Planck CMB, DESI BAO, and JWST high-z luminosity functions. We compute the AIC, BIC, and Figure of Merit (FoM) from MCMC chains. EWOG achieves a significantly lower ², AIC 15 and BIC 13 compared to CDM, and AIC 16, BIC 19 compared to QQG+, indicating decisive preference. The FoM for the dark energy equation of state is more than doubled. EWOG thus provides a fundamental quantum origin for both Starobinsky inflation and the high-redshift structure anomalies, falsifiable by future measurements of the growth-rate of structure.
Chavis Srichan (Tue,) studied this question.