Holography in a quantum spacetime

Abstract

We propose a formulation of the holographic principle, suitable for a background independent quantum theory of cosmology. It is stated as a relationship between the flow of quantum information and the causal structure of a quantum spacetime. Screens are defined as sets of events at which the observables of a holographic cosmological theory may be measured, and such that information may flow across them in two directions. A discrete background independent holographic theory may be formulated in terms of information flowing in a causal network of such screens. Geometry is introduced by defining the area of a screen to be a measure of its capacity as a channel of quantum information from its null past to its null future. We call this a ``weak'' form of the holographic principle, as no use is made of a bulk theory.

16 pages, LaTeX

References in corpus (8)

• Discreteness of area and volume in quantum gravity
• Spin Networks and Quantum Gravity
• Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change
• Quantum geometry with intrinsic local causality
• Dual formulation of spin network evolution
• Euclidean and Lorentzian Quantum Gravity - Lessons from Two Dimensions
• Nonperturbative dynamics for abstract (p,q) string networks
• A candidate for a background independent formulation of M theory

Cited by in corpus (17)

• The holographic principle
• An invitation to loop quantum gravity
• Quantum gravity with a positive cosmological constant
• Conservative solutions to the black hole information problem
• How far are we from the quantum theory of gravity?
• Loop Quantum Gravity, Exact Holographic Mapping, and Holographic Entanglement Entropy
• Newtonian gravity in loop quantum gravity
• The present moment in quantum cosmology: challenges to the arguments for the elimination of time
• Holographic Formulation of Quantum Supergravity
• The cubic matrix model and a duality between strings and loops
• The exceptional Jordan algebra and the matrix string
• The Internal and External Problems of String Theory - A Philosophical View
• A candidate for a background independent formulation of M theory
• Gravity from the entropy of light
• The Fate of Monsters in Anti-de Sitter Spacetime
• Quantum Gravity: Has Spacetime Quantum Properties?
• String Theory - Nomological Unification and the Epicycles of the Quantum Field Theory Paradigm