Non-Linear Renormalization Group Flow of Entanglement Entropy as an Emergent Mechanism for Global, Non-Singular Spacetime Geometry

We introduce a non-linear, scale-integrated field equation that derives four-dimensional macroscopic spacetime curvature directly from the density variations of a global quantum information network . By deploying the First Law of Entanglement Entropy alongside a non-linear Renormalization Group (RG) flow, we circumvent the localized coordinate breakdowns inherent to semi-classical gravity . The emergent gravitational metric tensor is mathematically defined as a scale-space integration of second-order functional derivatives of the Von Neumann entanglement entropy across a continuous scale axis . Under localized extreme gravitational collapse, the local information density is strictly bounded by the Bekenstein ceiling, systematically preventing the formation of physical singularities and yielding a stable, finite Planck-scale core . When evaluated cosmologically, this network-scaling architecture resolves the initial boundary state paradox at , maintaining an invariant net-zero energy budget while yielding a macroscopic expansion radius of at step 50 . Finally, a closed-loop information hysteresis simulation confirms absolute data conservation , eliminating the black hole information paradox . The model predicts a distinct, non-zero primordial local non-Gaussianity amplitude of , offering a precise benchmark for verification by next-generation Cosmic Microwave Background (CMB) observatories .