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In AdS/CFT, two-sided black holes are described by states in the tensor product of two Hilbert spaces associated with the two asymptotic boundaries of the spacetime. Understanding how such a tensor product arises from the bulk perspective…

High Energy Physics - Theory · Physics 2024-06-10 Jan Boruch , Luca V. Iliesiu , Guanda Lin , Cynthia Yan

We argue that the resolution to the black hole information paradox lies in a proper accounting of the implications of diffeomorphism invariance for the Hilbert space and observables of quantum gravity. The setting of asymptotically Anti-de…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Ted Jacobson , Phuc Nguyen

We investigate the emergent factorization of Hilbert space in the low-energy description of matrix models, addressing key aspects of the black hole information paradox. We examine the collective description for the low-energy sector of…

High Energy Physics - Theory · Physics 2024-04-19 Antal Jevicki , Debangshu Mukherjee , Junggi Yoon

We generalize recent results in two-dimensional Jackiw-Teitelboim gravity to study factorization of the Hilbert space of eternal black holes in quantum gravity with a negative cosmological constant in any dimension. We approach the problem…

High Energy Physics - Theory · Physics 2024-10-02 Vijay Balasubramanian , Ben Craps , Juan Hernandez , Mikhail Khramtsov , Maria Knysh

We formulate a version of the information paradox in de Sitter spacetime and show that it is solved by the emergence of entanglement islands in the context of the DS/dS correspondence; in particular, the entanglement entropy of a subregion…

High Energy Physics - Theory · Physics 2021-06-09 Hao Geng , Yasunori Nomura , Hao-Yu Sun

The idea of holography in gravity arose from the fact that the entropy of black holes is given by their surface area. The holography encountered in gauge/gravity duality has no such relation however; the boundary surface can be placed at an…

High Energy Physics - Theory · Physics 2015-06-05 Samir D. Mathur

Recent developments in holography have suggested a potential resolution to the black hole information paradox within the context of gravitational effective field theory. We emphasize the non-local nature of this proposed resolution, and…

High Energy Physics - Theory · Physics 2022-03-29 Emil J. Martinec

Aspects of holography or dimensional reduction in gravitational physics are discussed with reference to black hole thermodynamics. Degrees of freedom living on Isolated Horizons (as a model for macroscopic, generic, eternal black hole…

General Relativity and Quantum Cosmology · Physics 2008-02-12 Parthasarathi Majumdar

In this paper, we investigate the Hilbert space factorisation problem of two-sided black holes in high dimensions. We demonstrate that the Hilbert space of two-sided black holes can be factorized into the tensor product of two one-sided…

High Energy Physics - Theory · Physics 2025-01-15 Pan Li

In this paper I argue that the Hilbert space of states of a holographic, traversable wormhole does not factorize into the tensor product of the boundary Hilbert spaces. After presenting the general argument I analyze two examples: the…

High Energy Physics - Theory · Physics 2023-04-19 Adam Bzowski

An important conjecture within the AdS/CFT correspondence relates holographic spacetime to the quantum computational complexity of the dual quantum field theory. However, the quantitative understanding of this relation is still an open…

High Energy Physics - Theory · Physics 2022-12-02 Johanna Erdmenger , Marius Gerbershagen , Michal P. Heller , Anna-Lena Weigel

A longstanding question in quantum gravity regards the localization of quantum information; one way to formulate this question is to ask how subsystems can be defined in quantum-gravitational systems. The gauge symmetry and necessity of…

High Energy Physics - Theory · Physics 2022-09-07 Steven B. Giddings

We apply the quantum renormalization group to construct a holographic dual for the U(N) vector model for complex bosons defined on a lattice. The bulk geometry becomes dynamical as the hopping amplitudes which determine connectivity of…

High Energy Physics - Theory · Physics 2015-08-31 Peter Lunts , Subhro Bhattacharjee , Jonah Miller , Erik Schnetter , Yong Baek Kim , Sung-Sik Lee

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

A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Stefan Aminneborg , Ingemar Bengtsson , Dieter Brill , Soren Holst , Peter Peldan

It is shown that the correspondence principle and the holographic principle are incompatible in the background of an eternal Schwarzschild-anti-de Sitter geometry. The argument is based on the observation that algebraic structures of local…

High Energy Physics - Theory · Physics 2017-04-05 Slava Emelyanov

We investigate the black hole information paradox in the setting of pseudo-complex gravity, a covariant geometric extension of general relativity that introduces a minimal length scale by deforming the spacetime manifold. In this framework,…

General Relativity and Quantum Cosmology · Physics 2025-06-30 Fridolin Weberand Peter O. Hess , Cesar A. Zen Vasconcellos

Hawking-Bekenstein entropy formula seems to tell us that no quantum degrees of freedom can reside in the interior of a black hole. We suggest that this is a consequence of the fact that the volume of any interior sphere of finite surface…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Aharon Davidson , Ilya Gurwich

The information loss occurs in an evaporating black hole only if the time evolution ends at the singularity. But as we shall see, the black hole solutions admit analytical extensions beyond the singularities, to globally hyperbolic…

General Relativity and Quantum Cosmology · Physics 2015-07-14 Ovidiu Cristinel Stoica

Using the conformal equivalence of translational KMS states on chiral theories with dilational KMS states obtained from restricting the vacuum state to an interval (the chiral inversion of the Unruh-effect) it was shown in a previous…

High Energy Physics - Theory · Physics 2008-01-03 Bert Schroer
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