Probing the connection between entangled particles and wormholes in general relativity
arXiv:2309.03314 · doi:10.1103/PhysRevLett.131.101001
Abstract
Maldacena and Susskind conjectured that two entangled particles, which can be thought of as forming an Einstein-Podolsky-Rosen (EPR) pair, are connected by a nontraversable wormhole or Einstein-Rosen (ER) bridge. They named their conjecture ER = EPR. We present a concrete quantitative model for ER = EPR, in which two spin-1/2 particles in a singlet state are connected by a nontraversable wormhole in asymptotically flat general relativity. In our model, the fermions are described by the charged Dirac equation minimally coupled to gravity. This system has static wormhole solutions. We use these solutions as initial data and numerically evolve them forward in time. Our simulations show that black holes form, which are connected by the wormhole and which render the wormhole nontraversable. We also find that the wormhole throat shrinks, which places the particles in close proximity to one another and suggests an explanation for how the wormhole facilitates the nonlocal communication required by entanglement.
arXiv comment5 pages, 2 figures
References in corpus (18)
- Cool horizons for entangled black holes
- Traversable Wormholes via a Double Trace Deformation
- Diving into traversable wormholes
- Traversable wormholes in Einstein-Dirac-Maxwell theory
- Traversable Wormholes in General Relativity
- Particle-Like Solutions of the Einstein-Dirac Equations
- Asymptotically flat scalar, Dirac and Proca stars: discrete vs. continuous families of solutions
- Geometric secret sharing in a model of Hawking radiation
- Teleportation Through the Wormhole
- Holographic EPR Pairs, Wormholes and Radiation
- Non-Existence of Black Hole Solutions for a Spherically Symmetric, Static Einstein-Dirac-Maxwell System
- Einstein-Dirac-Maxwell wormholes: ansatz, construction and properties of symmetric solutions
- Are entangled particles connected by wormholes? Support for the ER=EPR conjecture from entropy inequalities
- Testing ER=EPR
- Stringy ER=EPR
- Broken bridges: A counter-example of the ER=EPR conjecture
- Einstein-Dirac system in semiclassical gravity
- Matter traveling through a wormhole