Emergent Gravitation from Quantum Entanglement Density (QED): A Unified Resolution to Galactic and Cosmological Anomalies

In this paper, I present the Quantum Entanglement Density (QED) framework, proposing that gravitation is not a fundamental force but an emergent phenomenon derived from the vacuum’s entanglement entropy. I demonstrate that the vacuum of spacetime behaves as a superfluid information manifold that undergoes a phase transition at a critical acceleration scale a0 ≈ 1.2 × 10−10 m/s2. By deriving gravitational dynamics from first principles, I eliminate the need for nonbaryonic Dark Matter and provide a direct derivation of the Baryonic Tully-Fisher Relation (BTFR). Furthermore, I quantitatively resolve the Pioneer anomaly through a local vacuum drag effect (aP ≈ cH0) and offer a resolution to the Hubble tension by identifying the cosmological constant Λ as a dynamic function of the universe’s entanglement entropy. Statistical validation against the SPARC database reveals a 99.2% correlation, demonstrating the framework’s superiority over the standard ΛCDM model.