Black Holes, Entanglement and Random Matrices

Understand

We provide evidence that strong quantum entanglement between Hilbert spaces does not generically create semiclassical wormholes between the corresponding geometric regions in the context of the AdS/CFT correspondence.

• We propose a description of low-energy gravity probes as random operators on the space of black hole states.
• We use this description to compute correlators between the entangled systems, and argue that a wormhole can only exist if correlations are large.
• Conversely, we also argue that large correlations can exist in the manifest absence of a Lorentzian wormhole.