The Magic-Curvature Hypothesis: Emergent Geometry from Entanglement and Non-Local Magic

Abstract

We propose the Magic-Curvature Hypothesis (MCH): spatial geometry emerges from the entanglement structure of an underlying quantum many-body system or quantum error-correcting code, while dynamical curvature (gravity) emerges from tripartite non-local magic in that same system—a resource that cannot be removed by two-party unitaries and that vanishes for stabilizer encodings. In a universe with positive cosmological constant the relevant holographic screen is an observer’s cosmological horizon (static-patch holography); the reconstructed geometry and the effective gravitational field inherit that observer dependence. The hypothesis synthesizes AdS/CFT and holographic codes, the Faulkner–Lewkowycz–Maldacena correction, the 2023–2026 results that gravitational back-reaction requires non-local magic, and static-patch approaches to de Sitter. It does not derive Einstein’s equations. It predicts that laboratory tests of gravitationally induced entanglement should be accompanied by a weak additional non-Gaussian or magic-related signature that a purely classical mediator cannot produce. Current evidence is restricted to toy codes (HaPPY and small deformations) and quantum-computer implementations.