Holography in General Space-times

TL;DR

This paper develops a background-independent holographic framework, constructing screens in various space-times to store bulk information, offering insights into the nature of holographic theories.

Contribution

It introduces a background-independent formulation of holography and explicitly constructs holographic screens in diverse space-times, including black holes and cosmological solutions.

Findings

Screens can store bulk information at one bit per Planck area.

Constructed holographic screens for AdS, Minkowski, and de Sitter spaces.

Properties of screens suggest features of a holographic theory.

Abstract

We provide a background-independent formulation of the holographic principle. It permits the construction of embedded hypersurfaces (screens) on which the entire bulk information can be stored at a density of no more than one bit per Planck area. Screens are constructed explicitly for AdS, Minkowski, and de Sitter spaces with and without black holes, and for cosmological solutions. The properties of screens provide clues about the character of a manifestly holographic theory.