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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…

High Energy Physics - Theory · Physics 2007-05-23 Fotini Markopoulou , Lee Smolin

As a quantum theory of gravity, Matrix theory should provide a realization of the holographic principle, in the sense that a holographic theory should contain one binary degree of freedom per Planck area. We present evidence that…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso , Aleksey L. Mints

We aim to establish the holographic principle as a universal law, rather than a property only of static systems and special space-times. Our covariant formalism yields an upper bound on entropy which applies to both open and closed…

High Energy Physics - Theory · Physics 2011-04-15 Raphael Bousso

It is believed that a primary principle of the theory of quantum gravity is the Holographic Principle according to which a physical system can be described only by degrees of freedom living on its boundary. The generalized covariant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Per , A. Segui

The holographic principle states that the number of degrees of freedom describing the physics inside a volume (including gravity) is bounded by the area of the boundary (also called the screen) which encloses this volume. A stronger…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carsten van de Bruck

The holographic principle suggests that regions of space contain fewer physical degrees of freedom than would be implied by conventional quantum field theory. Meanwhile, in Hilbert spaces of large dimension $2^n$, it is possible to define…

High Energy Physics - Theory · Physics 2024-08-15 Oliver Friedrich , ChunJun Cao , Sean M. Carroll , Gong Cheng , Ashmeet Singh

If holography is an equivalence between quantum theories, one might expect it to be described by a map that is a bijective isometry between bulk and boundary Hilbert spaces, preserving the hamiltonian and symmetries. Holography has been…

High Energy Physics - Theory · Physics 2020-12-02 Steven B. Giddings

The holographic principle asserts that the entropy of a system cannot exceed its boundary area in Planck units. However, conventional quantum field theory fails to describe such systems. In this Letter, we assume the existence of large $n$…

High Energy Physics - Theory · Physics 2008-09-25 Chao Cao , Yi-Xin Chen

The limitations of the approach based on using fields restricted to the lightfront (Lightfront Quantization or p$\to \infty $ Frame Approach) which drive quantum fields towards canonical and ultimately free fields are well known. Here we…

High Energy Physics - Theory · Physics 2017-08-23 Bert Schroer

We present a fully quantum version of the holographic principle in terms of quantum systems, subsystems, and their interactions. We use the concept of environment induced decoherence to prove this principle. We discuss the conditions under…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sougato Bose , Anupam Mazumdar

Holographic principle states that the maximum entropy of a system is its boundary area in Planck units. However, such a holographic entropy cannot be realized by the conventional quantum field theory. We need a new microscopic theory which…

General Relativity and Quantum Cosmology · Physics 2017-11-21 Yong Xiao

According to the holographic principle, the information content assigned to a gravitational region is processed by its lower dimensional boundary. As an example setup compatible with this principle, the AdS/CFT correspondence relies on the…

High Energy Physics - Theory · Physics 2024-01-23 Abram Akal

We study a topological field theory in four dimensions on a manifold with boundary. A bulk-boundary interaction is introduced through a novel variational principle rather than explicitly. Through this scheme we find that the boundary values…

High Energy Physics - Theory · Physics 2010-01-06 Viqar Husain , Sebastian Jaimungal

We show that holography arises naturally in the context of spherically symmetric loop quantum gravity. The result is not dependent on detailed assumptions about the dynamics of the theory being considered. It ties strongly the amount of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rodolfo Gambini , Jorge Pullin

There is strong evidence that the area of any surface limits the information content of adjacent spacetime regions, at 10^(69) bits per square meter. We review the developments that have led to the recognition of this entropy bound, placing…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso

Gravitational holography is argued to render the cosmological constant stable against divergent quantum corrections. This provides a technically natural solution to the cosmological constant problem. Evidence for quantum stability of the…

High Energy Physics - Theory · Physics 2007-05-23 Scott Thomas

In this talk we entertain the possibility that the synthesis of general covariance and quantum mechanics requires an extension of the basic kinematical setup of quantum mechanics. According to the holographic principle, regions of spacetime…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vijay Balasubramanian , Jan de Boer , Djordje Minic

The correspondence between string theory in Anti-de Sitter space and super Yang Mills theory is an example of the Holographic principle according to which a quantum theory with gravity must be describable by a boundary theory. However,…

High Energy Physics - Theory · Physics 2007-05-23 L. Susskind , Edward Witten

We review the different proposals which have so far been made for the holographic principle and the related entropy bounds and classify them into the strong, null and weak forms. These are analyzed, with the aim of discovering which may…

High Energy Physics - Theory · Physics 2009-10-31 Lee Smolin

The holographic principle posits that all quantum information in a region of spacetime is encoded on its boundary. While there is strong evidence for this principle in certain models of quantum gravity in asymptotically anti-de Sitter…

High Energy Physics - Theory · Physics 2018-06-15 William Donnelly
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