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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

We study holographic c-theorems based on timelike entanglement entropy and show that a timelike c-function captures irreversible renormalization group (RG) flow. We demonstrate that timelike c-functions are applicable to both relativistic…

High Energy Physics - Theory · Physics 2025-12-19 Dimitrios Giataganas

In holographic duality, the entanglement entropy of a boundary region is proposed to be dual to the area of an extremal codimension-2 surface that is homologous to the boundary region, known as the Hubeny-Rangamani-Takayanagi (HRT) surface.…

High Energy Physics - Theory · Physics 2018-12-27 Yiming Chen , Xi Dong , Aitor Lewkowycz , Xiao-Liang Qi

We propose a new version of holographic principle. This proposal extends the holographic principle based on the lightsheet to the one constraining the entropy passing through bulk hypersurface of timelike geodesics by the boundary area…

High Energy Physics - Theory · Physics 2009-11-10 Dongsu Bak

We reformulate Holographic Space-time (HST) Models as Hilbert bundles over the space of time-like geodesics on a background manifold. The background, following Jacobson, is viewed as a hydrodynamic flow, which the quantum model must…

High Energy Physics - Theory · Physics 2023-06-13 T. Banks

We advance holographic constructions for the entanglement negativity of bipartite states in a class of $(1+1)-$dimensional Galilean conformal field theories dual to asymptotically flat three dimensional bulk geometries described by Einstein…

High Energy Physics - Theory · Physics 2022-03-10 Debarshi Basu , Ashish Chandra , Himanshu Parihar , Gautam Sengupta

If we assume that the initial conditions for the universe were such that there was no volume-extensive entropy `at the beginning of time' (which is true in Linde's chaotic inflation), we can formulate a covariant holographic bound on the…

High Energy Physics - Theory · Physics 2007-05-23 Michal Fabinger

We argue that the flat spacetime with inexact quantum mechanics in it is dual to the de Sitter spacetime with exact quantum mechanics in it, and the positive cosmological constant of this de Sitter spacetime is in the second order of the…

Quantum Physics · Physics 2023-02-01 Eiji Konishi

In AdS/CFT, observables on the boundary are invariant under renormalization group (RG) flow in the bulk. In this paper, we study holographic entanglement entropy under bulk RG flow and find that it is indeed invariant. We focus on…

High Energy Physics - Theory · Physics 2023-12-04 Xi Dong , Grant N. Remmen , Diandian Wang , Wayne W. Weng , Chih-Hung Wu

We prove a new, large family of area laws in general relativity, which apply to certain classes of untrapped surfaces that we dub generalized holographic screens. Our family of area laws contains, as special cases, the area laws for…

High Energy Physics - Theory · Physics 2018-08-15 Yasunori Nomura , Grant N. Remmen

Quantum many-body states that frequently appear in physics often obey an entropy scaling law, meaning that an entanglement entropy of a subsystem can be expressed as a sum of terms that scale linearly with its volume and area, plus a…

Quantum Physics · Physics 2021-05-26 Isaac H. Kim

According to the holographic principle, the description of a volume of space can be thought of as encoded on its boundary. Holographic principle establishes equivalence, or duality, between theoretical description of volume physics, which…

Optics · Physics 2015-06-18 Igor I. Smolyaninov

A holographic dual description of inhomogeneous systems is discussed. Notably, finite temperature results for the entanglement entropy in both the rainbow chain and the SSD model are obtained holographically by choosing appropriate…

Strongly Correlated Electrons · Physics 2020-01-08 Ian MacCormack , Aike Liu , Masahiro Nozaki , Shinsei Ryu

In pursuit of a full-fledged theory of quantum gravity, operational approaches offer insights into quantum-gravitational effects produced by quantum superposition of different spacetimes not diffeomorphic to one another. Recent work applies…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Lakshay Goel , Everett A. Patterson , María Rosa Preciado-Rivas , Mahdi Torabian , Robert B. Mann , Niayesh Afshordi

We propose a framework for preparing quantum states with a holographic entanglement structure, in the sense that the entanglement entropies are governed by minimal surfaces in a chosen bulk geometry. We refer to such entropies as…

Quantum Physics · Physics 2026-01-30 Jonathan Jeffrey , Lucien Gandarias , Monika Schleier-Smith , Brian Swingle

We reformulate entanglement wedge reconstruction in the language of operator-algebra quantum error correction with infinite-dimensional physical and code Hilbert spaces. Von Neumann algebras are used to characterize observables in a…

High Energy Physics - Theory · Physics 2023-02-09 Monica Jinwoo Kang , David K. Kolchmeyer

Topological holography is a holographic principle that describes the generalized global symmetry of a local quantum system in terms of a topological order in one higher dimension. This framework separates the topological data from the local…

Strongly Correlated Electrons · Physics 2025-07-02 Sheng-Jie Huang , Meng Cheng

A holographic entropy inequality (HEI) is a linear inequality obeyed by Ryu-Takayanagi holographic entanglement entropies, or equivalently by the minimum cut function on weighted graphs. We establish a new combinatorial framework for…

High Energy Physics - Theory · Physics 2026-01-22 Guglielmo Grimaldi , Matthew Headrick , Veronika E. Hubeny , Pavel Shteyner

Three dimensional wormholes are global solutions of Einstein-Hilbert action. These space-times which are quotients of a part of global AdS$_{3}$ have multiple asymptotic regions, each with conformal boundary $S^{1}\times\mathbb{R}$, and…

High Energy Physics - Theory · Physics 2023-05-10 Hamed Zolfi

We develop a framework for the derivation of new information theoretic quantities which are natural from a holographic perspective. We demonstrate the utility of our techniques by deriving the tripartite information (the quantity associated…

High Energy Physics - Theory · Physics 2018-12-05 Veronika E. Hubeny , Mukund Rangamani , Massimiliano Rota