We present a non-local, extra-dimensional classical field theory that unifies gravitational and inertial phenomena under a singular, boundary less Holographic Entanglement Order Parameter propagating within a warped five-dimensional Anti-de Sitter bulk topology. Moving away from traditional coordinate-dependent spacetime curvature, we model gravity as a homeostatic reaction of the cosmos to a complexified total stress-energy flux, which incorporates rest mass, internal energy, kinetic momentum, and a topological charge phase factor to mathematically formalise directional dipole states driven by localized entropy gradients. By embedding our 3-brane universe at the stable nodal midpoint of this bulk geometry, we demonstrate that standard physical entities act as localized dimensional cross-sections of a higher-order information network. Crucially, we formalise an explicit information-theoretic extension of the classical Verlinde entropic gravity baseline and the Ellis-Maartens emergent universe paradigm, demonstrating that the stabilization of the initial finite-sized cosmic state is an automated consequence of a network load-balancing routine rather than a fine-tuned material scalar field. By executing a formal Gauss-Codazzi dimensional reduction from the bulk down to the 3-brane, we derive a modified set of four-dimensional Einstein Field Equations, where geometric curvature is modulated by an exponential network latency factor alongside a non-linear chameleon-type screening mechanism integrated into the field’s self-interaction potential. This structural architecture suppresses field anomalies in high-density environments to preserve classical solar system post-Newtonian telemetry, while allowing the field to asymptotically flatten at galactic scales to reproduce flat rotation curves without cold dark matter, matching thermodynamic volume constraints. Under extreme high-energy constraints, topological field adjustments are shown to map onto a circular Dini manifold profile, allowing non-singular, continuous cross-boundary data routing. Finally, by introducing a finite relaxation-time tensor to account for non-local field propagation delays, this framework successfully explains the apparent baryonic decoupling observed in astronomical collisions like the Bullet Cluster, and derives late-time accelerating cosmic expansion directly from the vacuum limit of intergalactic nodal voids without requiring dark energy.