Wormholes and Entanglement

Abstract

Maldacena and Susskind have proposed a correspondence between wormholes and entanglement, dubbed ER=EPR. We study this in the context of 3d topological quantum field theory, where we show that the formation of a wormhole is the same process as creating a particle-antiparticle pair. A key feature of the ER=EPR proposal is that certain apparently entangled degrees of freedom turn out to be the same. We name this phenomenon "fake entanglement", and show how it arises in our topological quantum field theory model.

12 pages

Cited by in corpus (6)

• Exact traversable wormhole solution in bumblebee gravity
• Wormhole and Entanglement (Non-)Detection in the ER=EPR Correspondence
• An Inverse Mass Expansion for Entanglement Entropy in Free Massive Scalar Field Theory
• The information recovery problem
• Topological Entanglement Entropy in Euclidean AdS3 via Surgery
• ER= EPR and Non-Perturbative Action Integrals for Quantum Gravity