Spacetime Equals Entanglement

Abstract

We study the Hilbert space structure of classical spacetimes under the assumption that entanglement in holographic theories determines semiclassical geometry. We show that this simple assumption has profound implications; for example, a superposition of classical spacetimes may lead to another classical spacetime. Despite its unconventional nature, this picture admits the standard interpretation of superpositions of well-defined semiclassical spacetimes in the limit that the number of holographic degrees of freedom becomes large. We illustrate these ideas using a model for the holographic theory of cosmological spacetimes.

6 pages, 2 figures; v2: remarks on time evolution revised, v3: matches published version

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Cited by in corpus (17)

• Holographic Spacetimes as Quantum Circuits of Path-Integrations
• Bulk Entanglement Gravity without a Boundary: Towards Finding Einstein's Equation in Hilbert Space
• Toward a Holographic Theory for General Spacetimes
• Holographic coherent states from random tensor networks
• Maximin is Not Enough
• Detecting topology change via correlations and entanglement from gauge/gravity correspondence
• Classical Spacetimes as Amplified Information in Holographic Quantum Theories
• Butterfly velocity and bulk causal structure
• Vertex operators for an expanding universe
• The multiple realizability of general relativity in quantum gravity
• Holographic Entanglement Entropy in the FLRW Universe
• Dynamics and Observer-Dependence of Holographic Screens
• Causal Density Matrices
• Spacetime from Entanglement: The Emergence of Metric, Gravity, or Topology
• Entanglement and mixed states of Young tableau states in gauge/gravity correspondence
• Non-relativistic geometry of holographic screens
• A possible connection between quantum mechanics and spacetime