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

Version 8 (June 2026) is a major quantitative upgrade to the original framework.

Building on the conservative phenomenological model of V7, this revision adds: • Corrected sign convention and units in the weak-field curvature derivation (Section 2.3). • A new subsection 4.2 “Numerical Validation of the Linear-Response Ansatz” presenting high-resolution 1D, 2D, and 3D Poisson simulations, including orthogonal gradients and a compact sech² warp-bubble profile. • An expanded, fully actionable hybrid Phase 1 experimental protocol (Rydberg QEGE actuator + atom-interferometer gradiometer primary probe, with optional BEC/levitated-nanoparticle coupling). • Refined predicted signals (Δg∼10−24Δg∼10−24–10−2310−23 m s⁻², phase shifts ϕ∼10−19ϕ∼10−19–10−2010−20 rad) derived directly from the simulations.

These additions make the paper significantly more quantitative, experimentally concrete, and ready for near-term tabletop tests while preserving the deliberately conservative spirit of the work. The framework remains fully consistent with Newtonian gravity, General Relativity in the classical limit, and positive-energy conditions.

Abstract

We present a phenomenological framework in which spacetime curvature may be engineered, in principle, through controlled modulation of quantum entanglement. The model rests on three experimentally grounded pillars: (1) ongoing tabletop efforts toward gravitationally induced entanglement (GIE), (2) mature Rydberg-atom-array technology for high-fidelity entanglement creation and control, and (3) recent theoretical constructions of warp metrics obeying positive energy conditions.

We adopt the minimal assumption that ordinary matter realizes near-maximal entanglement among its relevant degrees of freedom. From this we recover Newtonian gravity exactly and derive a linear-response relation between local fractional modulation of entanglement correlation strength and spacetime curvature in the weak-field limit. We propose the Quantum Entanglement Geometry Engine (QEGE) — a controllable lattice of qubits (e.g., Rydberg atoms or superconducting circuits) — as a near-term experimental platform. The framework makes concrete, falsifiable predictions and is constructed to reduce to General Relativity in the classical limit.