Sampling in AdS/CFT
L.Alejandro Correa-Borbonet
TL;DR
This paper explores the connection between sampling theory in curved spacetimes and the bulk-to-boundary relations in AdS/CFT, suggesting a potential link between holography and information theory.
Contribution
It proposes a conceptual analogy between sampling theory and AdS/CFT bulk-to-boundary relations, opening new avenues for understanding holography through information theory.
Findings
Sampling theory generalization to curved spacetime
Analogy between sampling reconstruction and AdS/CFT relations
Potential link between holography and information theory
Abstract
Recently, it has been proposed by Kempf a generalization of the Shannon sampling theory to the physics of curved spacetimes. With the aim of exploring the possible links between Holography and Information Theory we argue about the similitude of the reconstruction formula in the sampling theory and bulk-to-boundary relations found in the AdS/CFT context.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories