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arXiv · 2609.04104

Gravitationally Induced Entanglement Across an Event Horizon

Hatim Salih
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Abstract

It has long been assumed that a particle---having crossed a black hole event horizon unentangled with another particle in the exterior universe---can no longer dynamically entangle with that particle. Here, we show within a gravitational time-delayed-potential model that entanglement can be created from scratch between freely falling spatial superpositions across an event horizon. Yet, escaping with this state radially requires non-inertial deceleration, triggering soft-graviton emission, and establishing a strict dephasing bound that grows with entangling phase, $\Gamma\ge\frac{729}{160\pi}\Phi$. Obtained within a constrained leading-quadrupole model, this decoheres the entangled state. By contrast, equivalent macroscopic optical masses allow local harvesting of entanglement tangentially, via quantum erasure, thus revealing a remarkable geometric duality: Spacetime irreversibly degrades entanglement under radial escape, while in principle allowing the transverse teleportation of its entangled state to infinity.

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Hatim Salih. 2026-09-03. Gravitationally Induced Entanglement Across an Event Horizon. https://arxiv.org/abs/2609.04104

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