A sharp bound on spacetime distance from quantum entanglement

• URL: http://arxiv.org/abs/2608.12245v1
• Date: Wed, 12 Aug 2026 16:45:23 GMT
• Title: A sharp bound on spacetime distance from quantum entanglement
• Abstract summary: Ryu-Takayanagi established how boundary entanglement encodes bulk area.<n>We provide the metric counterpart: boundary mutual information imposes a rigorous lower bound on bulk geodesic separation that diverges logarithmically as correlations vanish.
• Score: 4.52769767575508
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Ryu-Takayanagi established how boundary entanglement encodes bulk area. We provide the metric counterpart: boundary mutual information imposes a rigorous lower bound on bulk geodesic separation that diverges logarithmically as correlations vanish. A multiscale iteration promotes this local inequality to a global obstruction to bulk connectivity. For parallel strips in AdS$_5$/CFT$_4$, the bound necessitates a quantum resolution of the classical mutual-information transition and fixes the asymptotic growth of geodesic distance.

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