Quantum Emergent Geometry (QEG v4): Morphological Unification of the Galactic Kinematic Anomaly and Non-Linear Core Regularization

We propose that the geometry of spacetime does not depend exclusively on the local distribution of mass and energy, but also on the global structure of quantum entanglement between visible matter. This hypothesis, called Quantum Emergent Geometry (QEG), extends Einstein's field equations through an entanglement tensor Eμν that captures the geometric contribution of accumulated quantum correlations. QEG predicts that the gravitational anomalies observed in galactic rotation curves, currently attributed to dark matter, are the projection onto visible geometry of a deeper quantum information structure. The hypothesis inherits the empirical evidence of MOND by proposing that formalism is an effective approximation of the physics of Eμν in the galactic regime. Four specific open problems are identified whose resolution would determine the viability of the hypothesis.