Replica wormhole and island incompatibility with monogamy of entanglement

Abstract

We argue that the `island conjecture' and the replica wormhole derivation of the Page curve break monogamy of entanglement through allowing black hole interior states to be non-classically correlated while also pairwise entangled with radiation states. The reason is that quantum degrees of freedom (present in any half of a Hawking pair) cannot all be identified with the environment at semi-classical pair production, and can only be fixed relative to a subsystem, as required for the Page curve, by correlations equivalent to entanglement - regardless of what those correlations are attributed to. This implies that the recent gravity (replica wormhole) and holographic (island conjecture) derivations of the Page curve entail new physics not yet properly taken into account.

10 pages. v2: references added, text added to §3

References in corpus (5)

• The entropy of Hawking radiation
• Gravity/Ensemble Duality
• BCFT entanglement entropy at large central charge and the black hole interior
• ER = EPR revisited: On the Entropy of an Einstein-Rosen Bridge
• A paradox regarding monogamy of entanglement

Cited by in corpus (7)

• Entanglement entropy in holographic moving mirror and Page curve
• Islands in charged linear dilaton black holes
• Islands and stretched horizon
• Entanglement between two evaporating black holes
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Concerns about the replica wormhole derivation of the island conjecture
• Holographic moving mirrors