Is Holography Implicit in Canonical Gravity?

Abstract

We conjecture that, in asymptotically anti-de Sitter space, two solutions of the Wheeler-DeWitt equation that coincide asymptotically must also coincide in the bulk. This suggests that the essential elements of holography are already present in canonical gravity. Our argument sheds light on why holography works only in gravitational theories, and also on the significance of anti-de Sitter boundary conditions.

6 pages (v2) clarified discussion on the cyclic nature of the vacuum

References in corpus (2)

• Unitarity and Holography in Gravitational Physics
• Black Holes, AdS, and CFTs

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• On the stabilizer complexity of Hawking radiation