Primordial Black Holes as Entanglement-Induced Curvature Condensates in Entanglement-Weighted Operator Geometry (EWOG)

Primordial black holes (PBHs) are traditionally treated as rare, fine-tuned relics of the early universe whose formation requires large classical density perturbations. In this work, we demonstrate that within Entanglement-Weighted Operator Geometry (EWOG), PBHs arise naturally as entanglement-induced curvature condensates, without requiring exceptional classical overdensities or a semiclassical 0 limit. We formulate a precise operator-theoretic collapse criterion based on entanglement concentration, derive an effective curvature functional from ensemble-averaged connection operators, and prove that PBHs generically form in the entanglement-dominated epoch. We further show that PBHs act as (i) the earliest classical spacetime anchors, (ii) seeds for galaxies and supermassive black holes, and (iii) regulators of the quantum-to-classical transition by accelerating entanglement averaging and Poisson-bracket emergence. The framework predicts PBHs to be rare but dynamically influential, consistent with current observational constraints while naturally explaining early compact objects observed by JWST.