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PreprintCC BY 4.0arXiv

Gravitationally Induced Entanglement Across an Event Horizon

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 first establish the possibility of post-crossing entanglement via an electromagnetic mediator. We then show within a gravitational time-delayed-potential model that entanglement can be created between freely falling spatial superpositions across an event horizon. Radial escape, however, triggers bremsstrahlung emission--imposing a dephasing bound that grows with entangling phase, Γ> 6/11πΦ, within a constrained leading-quadrupole model--and is ultimately ruled out by macroscopic which-path leakage. By contrast, equivalent macroscopic optical masses in principle allow local harvesting of entanglement tangentially, via quantum erasure, thus revealing a remarkable geometric duality: Spacetime irreversibly degrades entanglement under radial escape, while allowing the transverse teleportation of the entangled qubit to infinity, independent of Hawking evaporation.

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BibTeX
@misc{salih2026gravitationally,
  title = {{Gravitationally Induced Entanglement Across an Event Horizon}},
  author = {Hatim Salih},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04104},
  eprint = {2609.04104},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04104},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Gravitationally Induced Entanglement Across an Event Horizon
AU  - Hatim Salih
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.04104
UR  - https://arxiv.org/abs/2609.04104
AB  - 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 first establish the possibility of post-crossing entanglement via an electromagnetic mediator. We then show within a gravitational time-delayed-potential model that entanglement can be created between freely falling spatial superpositions across an event horizon. Radial escape, however, triggers bremsstrahlung emission--imposing a dephasing bound that grows with entangling phase, Γ> 6/11πΦ, within a constrained leading-quadrupole model--and is ultimately ruled out by macroscopic which-path leakage. By contrast, equivalent macroscopic optical masses in principle allow local harvesting of entanglement tangentially, via quantum erasure, thus revealing a remarkable geometric duality: Spacetime irreversibly degrades entanglement under radial escape, while allowing the transverse teleportation of the entangled qubit to infinity, independent of Hawking evaporation.
ER  -