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Spacetime Fluctuations in AdS/CFT
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We compute fluctuations in the modular energy of the vacuum associated with a Rindler-wedge in AdS spacetime in the context of AdS/CFT. We discuss the possible effect of these energy fluctuations on the spacetime geometry, and on the traversal time of a light beam propagating from the boundary to the bulk and back.
Forward citations
Cited by 8 Pith papers
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JT gravity on the worldline
Coupling a worldline observer to JT gravity replaces its evolution operator by an exactly computed average over fluctuating Euclidean times; the fluctuations are small in the disk but large on the double trumpet.
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Geometric noise spectrum in interferometers
The noise spectrum an interferometer would see from quantum spacetime jitter is computed for vacuum, thermal, squeezed, and scalar-backreaction states; all are Planck-suppressed.
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Diamonds in the Bulk and Large-$N$ Scaling in AdS/CFT
Bulk field algebras of causal diamonds in AdS/CFT require a double-scaling limit, so sub-AdS-radius distances are not described by bulk QFT.
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Entanglement Entropy of Quantum Corners
For a two-dimensional corner symmetry algebra, coherent corner states give an entanglement entropy that scales with the area when mapped to near-extremal Reissner-Nordström black holes.
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Effective density matrix for vacua in asymptotically flat gravity
The vacuum of a large causal diamond in asymptotically flat gravity is claimed to be a Gaussian in the supertranslation Goldstone mode, giving modular Hamiltonian variance A/epsilon squared.
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The Hydrodynamic Approach to Quantum Gravity
Banks proposes and summarizes a holographic space-time framework in which Einstein's equations emerge as hydrodynamics of quantum systems associated to causal diamonds, with a conjectured quantum principle of relativity.
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Correlation functions of von Neumann entropy
Two-point correlators of modular Hamiltonians obey entropy-like properties and equal the stress-tensor conformal block for spherical regions in CFT, including imaginary-time separations.
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A numerical analysis of Araki-Uhlmann relative entropy in Quantum Field Theory
For a free massive scalar field in 1+1 dimensions, the Araki-Uhlmann relative entropy between a coherent state and the vacuum decreases with mass and increases with region size in numerical tests.
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