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Is Holography Implicit in Canonical Gravity?

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arxiv 1903.11073 v2 pith:TBRYU7BO submitted 2019-03-26 gr-qc hep-th

Is Holography Implicit in Canonical Gravity?

classification gr-qc hep-th
keywords holographyanti-deasymptoticallycanonicalcoincidegravitysitteralready
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 1 Pith paper

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  1. Asymptotic Algebras and Holography of Information in CGHS Model

    hep-th 2026-06 unverdicted novelty 5.0

    Establishes holography of information in the CGHS model via asymptotic algebras and argues that islands violate commutativity of left- and right-boundary algebras.