Entanglement Network Gravity: Static Spacetime Geometry from Quantum Entanglement Density — A Foundational Framework Proposal

The persistent incompatibility between general relativity and quantum mechanics motivates continued exploration of the possibility that spacetime geometry is emergent rather than fundamental. This paper introduces a foundational framework, called Entanglement Network Gravity, in which spatial geometry is interpreted as a collective description of correlation structure in an underlying quantum entanglement network, with field-level entanglement. The internal correlation structure of a unified quantum field across spatial regions, identified as the proposed geometric primitive. A linear ansatz is introduced, relating the deviation of the radial spatial metric component from flatness to a scalar quantity called entanglement density deviation. Algebraic inversion of this ansatz against the Schwarzschild radial metric determines a closed-form profile for the density deviation, with leading-order behavior Δρ(r) ≈ γM/r at large radius. The Newtonian gravitational potential follows from this profile under a natural identification, and the structural constraint αγ = G ties the two coupling constants of the framework. The exercise is explicitly a consistency demonstration rather than a derivation: Schwarzschild is an input, and the framework as developed here gains no predictive content distinct from general relativity through this construction. A two-regime structure is introduced, distinguishing elastic compression below a critical threshold from a generative response above it; this structure is presented as architectural setup, not as a solved problem. The principal open problems of the framework, the operational definition of the entanglement density deviation in terms of regulated quantum-field-theoretic quantities, the construction of a temporal metric component from independent reasoning, the demonstration of Lorentz invariance, and the explicit solution of the strong-field regime are identified and named. The paper is offered as the foundation of a research program; planned extensions are named but not developed here.