Entanglement Network Gravity: Static Spacetime Geometry from Quantum Entanglement Density

The persistent incompatibility between general relativity and quantum mechanics motivates a reexamination of the assumption that spacetime geometry is fundamental rather than emergent. This paper develops a framework, called Entanglement Network Gravity, in which the spatial geometry of static gravitational fields is reformulated as the emergent description of dynamical structure in an underlying quantum entanglement network, with field-level entanglement, the correlation structure between spatial regions of a unified quantum field, identified as the geometrically primitive quantity. A linear ansatz relating the deviation of the radial spatial metric component from flatness to the deviation of entanglement density from a uniform baseline is introduced. Backwards derivation from the Schwarzschild metric yields a closed-form profile for the entanglement density deviation around a static spherically symmetric mass, with leading-order behavior Δρ(r) ≈ γM/r, and the Newtonian gravitational potential and inverse-square force law are recovered exactly in the weak-field limit. A two-regime structure is introduced, distinguishing elastic compression below a critical threshold from saturation-driven generation above it; this structure prevents the divergence of entanglement density at the event horizon while preserving the standard general-relativistic coordinate-singular behavior of the metric, and offers a mechanism for Hawking radiation as the observable signature of the generation process. Compatibility with Lorentz invariance, the equivalence principle, and the classical tests of general relativity is addressed. Quantitative extensions to the strong-field generative regime, the derivation of fundamental constants from network properties, and applications to galactic and cosmological phenomena are deferred to subsequent work.