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A systematic procedure is proposed for better understanding the evolution laws of black holes in terms of pure quantum states. We start with the two opposed regions I and II in the Penrose diagram, and study the evolution of matter in these…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Gerard t Hooft

Firewalls in black holes are easiest to understand by imposing time reversal invariance, together with a unitary evolution law. The best approach seems to be to split up the time span of a black hole into short periods, during which no…

General Relativity and Quantum Cosmology · Physics 2024-01-31 Gerard t Hooft

Applying an expansion in spherical harmonics, turns the black hole with its microstates into something about as transparent as the hydrogen atom was in the early days of quantum mechanics. It enables us to present a concise description of…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Gerard t Hooft

In a recent series of papers we developed a first-principle and gauge invariant approach to black hole perturbation theory valid to any order. We included back reaction effects to tackle the situation of evaporating black holes and obtained…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Jonas Neuser , Thomas Thiemann

We perform Hamiltonian reduction of a model in which 2+1 dimensional gravity with negative cosmological constant is coupled to a cylindrically symmetric dust shell. The resulting action contains only a finite number of degrees of freedom.…

General Relativity and Quantum Cosmology · Physics 2020-11-19 Alexander A. Andrianov , Artem Starodubtsev , Yasser Elmahalawy

We formulate spacetime inequalities applicable to quantum-corrected black holes to all orders of backreaction in semiclassical gravity. Namely, we propose refined versions of the quantum Penrose and reverse isoperimetric inequalities, valid…

High Energy Physics - Theory · Physics 2024-06-27 Antonia M. Frassino , Robie A. Hennigar , Juan F. Pedraza , Andrew Svesko

A promising strategy for better understanding space and time at the Planck scale, is outlined and further pursued. It is explained in detail, how black hole unitarity demands the existence of transformations that can remove firewalls. This…

General Relativity and Quantum Cosmology · Physics 2017-09-12 Gerard t Hooft

It was recently argued by Almheiri et al that black hole complementarity strains the basic rules of quantum information theory, such as monogamy of entanglement. Motivated by this argument, we develop a practical framework for describing…

High Energy Physics - Theory · Physics 2015-06-12 Erik Verlinde , Herman Verlinde

We explore the extraction of energy from a rotating black hole spacetime modified by a quantum correction parameter \( \alpha \). Focusing on particle splitting within the ergoregion, we analyze the Penrose process and compute the…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Urooj Fatima , G. Abbas

We consider the class of metrics that can be obtained from those of nonextreme black holes by limiting transitions to the extreme state such that the near-horizon geometry expands into a whole manifold. These metrics include, in particular,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. B. Zaslavskii

We use the inverse mean curvature flow to establish Penrose-type inequalities for time-symmetric Einstein-Maxwell initial data sets which can be suitably embedded as a hypersurface in Euclidean space $\mathbb R^{n+1}$, $n\geq 3$. In…

Differential Geometry · Mathematics 2014-01-07 Levi Lopes de Lima , Frederico Girão , Weslley Lozório , Juscelino Silva

In this MSc. thesis, we have attempted to give an overview of the firewall paradox and various approaches towards its resolution. After an introductory chapter on some basic concepts in quantum field theory in curved spacetimes such as…

General Relativity and Quantum Cosmology · Physics 2017-02-06 Furkan Semih Dündar

We present a quantum theory of black hole (and other) horizons, in which the standard assumptions of complementarity are preserved without contradicting information theoretic considerations. After the scrambling time, the quantum mechanical…

High Energy Physics - Theory · Physics 2013-11-13 Yasunori Nomura , Jaime Varela , Sean J. Weinberg

After providing an extensive overview of the conceptual elements -- such as Einstein's `hole argument' -- that underpin Penrose's proposal for gravitationally induced quantum state reduction, the proposal is constructively criticised.…

General Relativity and Quantum Cosmology · Physics 2016-07-05 Joy Christian

This Letter is written to clear up a situation, and hopefully we will learn something from it: scientifically and morally. Herein is presented a true ``historical'' scenario of events, that led to my being the first person (Williams 1991)…

Physics and Society · Physics 2007-05-23 Reva Kay Williams

We consider the information loss paradox at different angles, from the standard semi-classical approximation of General Relativity to the recently proposed scenarios of black holes evolution caused by effects of gravity quantization.…

High Energy Physics - Theory · Physics 2020-01-08 A J Nurmagambetov , I Y Park

The central idea advocated in this paper is that {forming the black hole horizon is attended with transition from the classical regime of evolution to the quantum one}. We justify the following criterion for discriminating between the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. P. Kosyakov

The unitary crisis for black holes indicates an apparent need to modify local quantum field theory. This paper explores the idea that quantum mechanics and in particular unitarity are fundamental principles, but at the price of familiar…

High Energy Physics - Theory · Physics 2015-03-19 Steven B. Giddings

The one-loop quantum corrections to geometry and thermodynamics of black hole are studied for the two-dimensional RST model. We chose boundary conditions corresponding to the eternal black hole being in the thermal equilibrium with the…

High Energy Physics - Theory · Physics 2009-10-28 Sergey N. Solodukhin

The unitary moving mirror model is one of the best quantum systems for checking the reasoning of the original firewall paradox of AMPS in quantum black holes. Though the late-time part of radiations emitted from the mirror is fully…

Quantum Physics · Physics 2015-06-16 Masahiro Hotta , Jiro Matsumoto , Ken Funo
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