Entanglement-Weighted Operator Geometry of the Early Universe: From Quantum Curvature Uncertainty to Recombination and the First Stars

We present a unified theoretical framework for early-universe evolution based on Entanglement-Weighted Operator Geometry (EWOG). In this approach, spacetime geometry is promoted to an operator whose classical expectation value is weighted by quantum entanglement. Starting from the Heisenberg uncertainty principle, we derive a fundamental curvature–volume uncertainty relation and show how entanglement suppresses curvature fluctuations. We demonstrate that (i) time emerges before space due to anisotropic curvature uncertainty, (ii) the quark–gluon plasma (QGP) epoch stabilizes quantum geometry through large entanglement, (iii) cosmological recombination occurs when curvature noise drops below the atomic stability threshold, and (iv) the first stars necessarily form as massive, short-lived Population III objects due to suppressed fragmentation in low-entanglement geometry. Recombination, decoupling, space emergence, and first star formation are shown to be successive quantum-geometric phase transitions of spacetime itself. We provide testable predictions for JWST observations, including enhanced He II emission, top-heavy initial mass functions, and early pair-instability supernovae.