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During the final stages of black hole evaporation, ultraviolet deviations from General Relativity eventually become dramatic, potentially affecting the end-state. We explore this problem by performing nonlinear simulations of wave packets…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Fabrizio Corelli , Marina De Amicis , Taishi Ikeda , Paolo Pani

The quantum corrections to black hole entropy, variously defined, suffer quadratic divergences reminiscent of the ones found in the renormalization of the gravitational coupling constant (Newton constant). We consider the suggestion, due to…

High Energy Physics - Theory · Physics 2009-10-28 Finn Larsen , Frank Wilczek

Regular black holes offer a compelling framework to explore the consequences of resolving the central singularity of standard black holes. Using the Simpson-Visser "black-bounce" geometry as an elegant, analytically tractable framework, we…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Vinayak Joshi , Ashok B. Joshi

The black hole firewall conjecture is based on Page curve hypothesis, which claims that entanglement between black hole and Hawking radiation is almost maximum. The hypothesis is inspired by Lubkin-Lloyd-Pagels-Page theorem for degenerate…

General Relativity and Quantum Cosmology · Physics 2015-12-23 Masahiro Hotta , Ayumu Sugita

We are interested in black holes in Loop Quantum Gravity (LQG). We study the simple model of static black holes: the horizon is made of a given number of identical elementary surfaces and these small surfaces all behaves as a spin-s system…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Etera R. Livine , Daniel R. Terno

The information loss paradox remains unresolved ever since Hawking's seminal discovery of black hole evaporation. In this essay, we revisit the entanglement entropy via Euclidean path integral (EPI) and allow for the branching of…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Pisin Chen , Misao Sasaki , Dong-han Yeom , Junggi Yoon

The formation and evaporation of a black hole can be viewed as a scattering process in Quantum Gravity. Semiclassical arguments indicate that the process should be non-unitary, and that all the information of the original quantum state…

High Energy Physics - Theory · Physics 2016-09-06 Jorge G. Russo

The evaporation of black holes raises a number of conceptual issues, most of them related to the final stages of evaporation, where the interplay between the central singularity and Hawking radiation cannot be ignored. Regular models of…

General Relativity and Quantum Cosmology · Physics 2018-08-16 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Costantino Pacilio , Matt Visser

Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider the dynamics of a quantum many-body qudit system coupled to an external environment, where the time evolution is driven by the continuous limit of certain…

High Energy Physics - Theory · Physics 2020-04-14 Lorenzo Piroli , Christoph Sünderhauf , Xiao-Liang Qi

Forty years after the discovery of Hawking radiation, its exact nature remains elusive. If Hawking radiation does not carry any information out from the ever shrinking black hole, it seems that unitarity is violated once the black hole…

General Relativity and Quantum Cosmology · Physics 2015-12-01 Pisin Chen , Yen Chin Ong , Dong-han Yeom

Black holes with sufficiently large initial charge and mass will Hawking-evaporate towards the extremal limit. The emission slows as the temperature approaches zero, but still reaches the point where a single Hawking quantum would make the…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Samuel E. Gralla

These lecture notes are an elementary and pedagogical introduction to the black hole evaporation, based on a lecture given by the author at the Ninth Modave Summer School in Mathematical Physics and are intended for PhD students. First,…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Pierre-Henry Lambert

In this review, we describe recent progress on the black hole information problem that involves a new understanding of how to calculate the entropy of Hawking radiation. We show how the method for computing gravitational fine-grained…

High Energy Physics - Theory · Physics 2021-07-28 Ahmed Almheiri , Thomas Hartman , Juan Maldacena , Edgar Shaghoulian , Amirhossein Tajdini

We study the mixed-state entanglement structure of chaotic quantum many-body systems at late times using the recently developed $\textit{equilibrium approximation}$. A rich entanglement phase diagram emerges when we generalize this…

High Energy Physics - Theory · Physics 2022-08-17 Shreya Vardhan , Jonah Kudler-Flam , Hassan Shapourian , Hong Liu

We consider the capacity of entanglement in models related with the gravitational phase transitions. The capacity is labeled by the replica parameter which plays a similar role to the inverse temperature in thermodynamics. In the end of the…

High Energy Physics - Theory · Physics 2021-06-02 Kohki Kawabata , Tatsuma Nishioka , Yoshitaka Okuyama , Kento Watanabe

We consider an analytically tractable model that exhibits the main features of the Page curve characterizing the evolution of entanglement entropy during evaporation of a black hole. Our model is a gas of non-interacting fermions on a…

Quantum Physics · Physics 2024-03-01 Madhumita Saha , Manas Kulkarni , Abhishek Dhar

We show how to capture both the non-unitary Page curve and replica wormhole-like contributions that restore unitarity in a toy quantum system with random dynamics. The motivation is to find the simplest dynamical model that captures this…

High Energy Physics - Theory · Physics 2024-05-02 Jan de Boer , Jildou Hollander , Andrew Rolph

Charged particle emission from black holes with sufficiently large charge is exponentially suppressed. As a result, such black holes are driven towards extremality by the emission of neutral Hawking radiation. Eventually, an isolated black…

High Energy Physics - Theory · Physics 2024-11-07 Adam R. Brown , Luca V. Iliesiu , Geoff Penington , Mykhaylo Usatyuk

Treating Maxwell soft hair as a transition function that relates U(1) gauge fields living in the asymptotic region and near-horizon region, the U(1) gauge parameter $\phi$ naturally becomes a good label of those Maxwell soft hair degrees of…

High Energy Physics - Theory · Physics 2021-06-30 Peng Cheng , Yang An

In this work, we describe optically inspired models for unitary black hole (BH) evaporation. The goal of these models are (i) to be operationally simple, (ii) approximately preserve the thermal nature of the emitted Hawking Radiation (HR),…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Paul M. Alsing