English

Diagnosing collisions in the interior of a wormhole

High Energy Physics - Theory 2021-08-04 v3 General Relativity and Quantum Cosmology Quantum Physics

Abstract

Two distant black holes can be connected in the interior through a wormhole. Such a wormhole has been interpreted as an entangled state shared between two exterior regions. If Alice and Bob send signals into each of the black holes, they can meet in the interior. In this letter, we interpret this meeting in terms of the quantum circuit that prepares the entangled state: Alice and Bob sending signals creates growing perturbations in the circuit, whose overlap represents their meeting inside the wormhole. We argue that such overlap in the circuit is quantified by a particular six-point correlation function. Therefore, exterior observers in possession of the entangled qubits can use this correlation function to diagnose the collision in the interior without having to jump in themselves.

Keywords

Cite

@article{arxiv.2104.02736,
  title  = {Diagnosing collisions in the interior of a wormhole},
  author = {Felix M. Haehl and Ying Zhao},
  journal= {arXiv preprint arXiv:2104.02736},
  year   = {2021}
}

Comments

5 pages, 5 figures; v2: Details and calculations added; v3: Published version in PRD