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We undertake a first-principles analysis of the thermodynamics of a small body near a black hole horizon. In particular, we study the paradigmatic system of a quantum ideal gas in a small box hovering over the Schwarzschild horizon. We…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Eirini Sourtzinou , Charis Anastopoulos

The quantum Bell nonlocality plays a crucial role in quantum information processing. In this paper, we first obtain the quantitative analytical expression of the genuine four-partite Bell nonlocality of any 4-qubit quantum state. Then, we…

Quantum Physics · Physics 2025-04-01 Guang-Wei Mi , Xiaofen Huang , Shao-Ming Fei , Tinggui Zhang

The aim of this work is to present the black hole information problem and discuss the assumptions and hypotheses necessary for its formulation. As the problem arises in the framework of semiclassical gravity, we first review the necessary…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Thiago T. Bergamaschi

We consider the status of quantum information in the quantum theory and based on the correspondence principle, we propose an interpretation of the wave function as a mathematical representation of quantum information. We consider Clauser's…

Quantum Physics · Physics 2025-02-28 Ryszard Horodecki

Quantum entanglement lies at the heart of quantum information theory, with applications to quantum computing, teleportation, cryptography and communication. In the apparently separate world of quantum gravity, the Hawking effect of…

High Energy Physics - Theory · Physics 2017-08-23 M. J. Duff

Quantum entanglement is a fundamental resource in quantum information processing and its distribution between distant parties is a key challenge in quantum communications. Increasing the dimensionality of entanglement has been shown to…

Sharing and receiving information plays a pivotal role in science and technology. Quantum communication relies on the principles of quantum mechanics to transmit information in a nonclassical manner. Existing quantum communication protocols…

Quantum Physics · Physics 2024-06-17 Finn Schmolke , Etienne Springer , Eric Lutz

We study the interior of the Schwarzschild black hole which is isometric to the Kantowski-Sachs cosmological model, using a fully relational and gauge-invariant quantization framework. The physical Hilbert space is constructed via refined…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Paolo Fragolino , Saeed Rastgoo

The black hole final state proposal implements manifest unitarity in the process of black hole formation and evaporation in quantum gravity, by postulating a unique final state boundary condition at the singularity. We argue that this…

High Energy Physics - Theory · Physics 2014-10-21 Mukund Rangamani , Massimiliano Rota

The notion of quantum-mechanical completeness is adapted to situations where the only adequate description is in terms of quantum field theory in curved space-times. It is then shown that Schwarzschild black holes, although geodesically…

High Energy Physics - Theory · Physics 2015-06-26 Stefan Hofmann , Marc Schneider

We explore the entropic uncertainty relation in the curved background outside a Schwarzschild black hole, and find that Hawking radiation introduces a nontrivial modification on the uncertainty bound for particular observer, therefore it…

High Energy Physics - Theory · Physics 2015-03-10 Jun Feng , Yao-Zhong Zhang , Mark D. Gould , Heng Fan

The singularity theorem by Hawking and Penrose qualifies Schwarzschild black-holes as geodesic incomplete space-times. Albeit this is a mathematically rigorous statement, it requires an operational framework that allows to probe the…

High Energy Physics - Theory · Physics 2017-04-04 Stefan Hofmann , Marc Schneider

The physical interpretation and eventual fate of gravitational singularities in a theory surpassing classical general relativity are puzzling questions that have generated a great deal of interest among various quantum gravity approaches.…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

We compute the propagation and scattering of linear gravitational waves off a Schwarzschild black hole using a numerical code which solves a generalization of the Zerilli equation to a three dimensional cartesian coordinate system. Since…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Rezzolla , A. M. Abrahams , T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

We analyze the gravitational radiation emitted from a particle in circular motion around a Schwarzschild black hole using the framework of quantum field theory in curved spacetime at tree level. The gravitational perturbations are written…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

We present a unified theoretical framework that integrates information theory, thermodynamics, and general relativity to analyze the fundamental limit of decoding time-encoded signals in curved spacetime. In particular, we introduce the…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Tatsuaki Tsuruyama

One considers phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model to study the interior of a Schwarzschild black hole. It is shown that the potential function of the corresponding quantum cosmology problem…

General Relativity and Quantum Cosmology · Physics 2015-05-20 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

The signaling between two observers in 3+1 dimensional flat spacetime coupled locally to a non-local field is considered. We show that in the case where two observers are purely timelike related -- so that an exchange of on-shell massless…

Nathan Rosen's quantization approach to the gravitational collapse is applied in the simple case of a pressureless "star of dust" by finding the gravitational potential, the Schrodinger equation and the solution for the collapse's energy…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Christian Corda , Fabiano Feleppa

The black hole combines in some sense both the ``hydrogen atom'' and the ``black-body radiation'' problems of quantum gravity. This analogy suggests that black-hole quantization may be the key to a quantum theory of gravity. During the last…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shahar Hod