Holographic Thought Experiments

Abstract

The Hamiltonian of classical anti-de Sitter gravity is a pure boundary term on-shell. If this remains true in non-perturbative quantum gravity then i) boundary observables will evolve unitarily in time and ii) the algebra of boundary observables is the same at all times. In particular, information available at the boundary at any one time t_1 remains available at any other time t_2. Since there is also a sense in which the equations of motion propagate information into the bulk, these observations raise what may appear to be potential paradoxes concerning simultaneous (or spacelike separated) measurements of non-commuting observables, one at the asymptotic boundary and one in the interior. We argue that such potentially paradoxical settings always involve a breakdown of semi-classical gravity. In particular, we present evidence that making accurate holographic measurements over short timescales radically alters the familiar notion of causality. We also describe certain less intrinsically paradoxical settings which illustrate the above boundary unitarity and render the notion more concrete.

24 pages

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Cited by in corpus (18)

• Unitarity and Holography in Gravitational Physics
• Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
• Black Holes, AdS, and CFTs
• Correlations in Hawking radiation and the infall problem
• Cauchy Slice Holography: A New AdS/CFT Dictionary
• Causality and the AdS Dirichlet problem
• Gauge-invariant observables, gravitational dressings, and holography in AdS
• What the information paradox is {\it not}
• A Survey of Black Hole Thermodynamics
• Black holes and holography
• States of a chiral 2d CFT
• On the questions of asymptotic recoverability of information and subsystems in quantum gravity
• Can Hamiltonians be boundary observables in Parametrized Field Theories?
• The Jarzynski Identity and the AdS/CFT Duality
• Holography and unitarity
• A "black hole theorem," and its implications
• On non-equilibrium physics and string theory
• A discrete, unitary, causal theory of quantum gravity