Broken bridges: A counter-example of the ER=EPR conjecture

Abstract

In this paper, we provide a counter-example to the ER=EPR conjecture. In an anti-de Sitter space, we construct a pair of maximally entangled but separated black holes. Due to the vacuum decay of the anti-de Sitter background toward a deeper vacuum, these two parts can be trapped by bubbles. If these bubbles are reasonably large, then within the scrambling time, there should appear an Einstein-Rosen bridge between the two black holes. Now by tracing more details on the bubble dynamics, one can identify parameters such that one of the two bubbles either monotonically shrinks or expands. Because of the change of vacuum energy, one side of the black hole would evaporate completely. Due to the shrinking of the apparent horizon, a signal of one side of the Einstein-Rosen bridge can be viewed from the opposite side. We analytically and numerically demonstrate that within a reasonable semi-classical parameter regime, such process can happen. Bubbles are a non-perturbative effect, which is the crucial reason that allows the transmission of information between the two black holes through the Einstein-Rosen bridge, even though the probability is highly suppressed. Therefore, the ER=EPR conjecture cannot be generic in its present form and its validity maybe restricted.

20 pages, 9 figures

References in corpus (10)

• Black holes as mirrors: quantum information in random subsystems
• Traversable Wormholes via a Double Trace Deformation
• Diving into traversable wormholes
• Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition
• Nonperturbative Instability of AdS_5 x S^5/Z_k
• Copenhagen vs Everett, Teleportation, and ER=EPR
• A holographic proof of the averaged null energy condition
• Constructing a counterexample to the black hole complementarity
• Thin-shell bubbles and information loss problem in anti de Sitter background
• Page curves for tripartite systems

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• A path(-integral) toward non-perturbative effects in Hawking radiation
• Causal structures and dynamics of black-hole-like solutions in string theory
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• Fuzzy instantons in landscape and swampland: review of the Hartle-Hawking wave function and several applications
• Two faces of Hawking radiation and thin-shell emission: pair-creation vs. tunneling