Gravitationally Induced Entanglement Across an Event Horizon

• URL: http://arxiv.org/abs/2609.04104v3
• Date: Wed, 09 Sep 2026 17:42:10 GMT
• Title: Gravitationally Induced Entanglement Across an Event Horizon
• Abstract summary: It has long been assumed that a particle crossed a black hole event horizon unentangled with another particle in the exterior universe.<n>Here, we show within a gravitational time-delayed-potential model that entanglement can be created from scratch between freely falling spatial superpositions.
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• License: http://creativecommons.org/licenses/by/4.0/
• 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, $Γ\ge\frac{729}{160π}Φ$. 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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