Quantum Entanglement as the Origin of Spacetime Geometry: A Phenomenological Lattice Model for Controlled Curvature

Version 6 – April 2026 (Current Version)

This version includes a full derivation of the curvature-entanglement relation in the weak-field limit. The core claims and predictions remain unchanged, but the mathematical foundation is now presented more rigorously and transparently.

Abstract

We present a phenomenological framework in which spacetime curvature can, in principle, be engineered through controlled modulation of quantum entanglement. The model is built on three experimentally supported pillars: (1) gravitationally induced entanglement (GIE), recently demonstrated in tabletop experiments; (2) mature technology for creating and controlling entanglement in Rydberg atom arrays; and (3) recent theoretical results showing that warp metrics are possible with positive energy densities only.

We adopt a minimal assumption: that nature entangles essentially all relevant degrees of freedom in ordinary matter. From this we recover Newtonian gravity and derive a relation between local entanglement modulation and spacetime curvature. We propose the Quantum Entanglement Geometry Engine (QEGE) as a controllable experimental platform to test whether macroscopic curvature effects can be produced and measured using current quantum technology. The framework makes concrete, falsifiable predictions for near-term experiments and remains consistent with General Relativity in the classical limit.