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A method for the nonintrusive and structure-preserving model reduction of canonical and noncanonical Hamiltonian systems is presented. Based on the idea of operator inference, this technique is provably convergent and reduces to a…

Machine Learning · Computer Science 2023-06-27 Anthony Gruber , Irina Tezaur

Computational complexity is a new quantum information concept that may play an important role in holography and in understanding the physics of the black hole interior. We consider quantum computational complexity for $n$ qubits using…

High Energy Physics - Theory · Physics 2021-05-21 Roberto Auzzi , Stefano Baiguera , G. Bruno De Luca , Andrea Legramandi , Giuseppe Nardelli , Nicolò Zenoni

We study analytically the spacetime geometry of the black-hole formation and evaporation. As a simplest model of the collapse, we consider a spherical thin shell, and take the back-reaction from the negative energy of the quantum vacuum…

High Energy Physics - Theory · Physics 2020-08-05 Pei-Ming Ho , Yoshinori Matsuo , Yuki Yokokura

The discovery that black holes emit thermal type radiation changed radically our perception of their behavior. Until then, their interior was considered as causally disconnected from the rest of the universe, so any kind of information,…

General Relativity and Quantum Cosmology · Physics 2012-04-24 Nikolaos D. Pappas

We consider the black hole information problem in an explicitly defined spacetime modelling black hole evaporation. Using this context we review basic aspects of the problem, with a particular effort to be unambiguous about subtle topics,…

General Relativity and Quantum Cosmology · Physics 2021-04-16 Joseph Schindler , Evan Frangipane , Anthony Aguirre

First, the relation between black holes and limitations on information of other systems is developed. After reviewing the relation of entropy to information, we derive the entropy bound, review its applications to cosmology and its…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

Motivated by the sharp contrast between classical and quantum physics as probability theories, in these lecture notes I introduce the basic notions of operator algebras that are relevant for the algebraic approach to quantum physics.…

Quantum Physics · Physics 2016-12-23 A. F. Reyes-Lega

There has been recent speculation that the tunneling paradigm for Hawking radiation could -- after quantum-gravitational effects have suitably been incorporated -- provide a means for resolving the (black hole) information loss paradox. A…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. J. M. Medved , Elias C. Vagenas

Using standard statistical method, we discover the existence of correlations among Hawking radiations (of tunneled particles) from a black hole. The information carried by such correlations is quantified by mutual information between…

High Energy Physics - Theory · Physics 2011-03-28 Baocheng Zhang , Qing-yu Cai , Li You , M S Zhan

The optical model is a fundamental tool to describe scattering processes in nuclear physics. The basic input is an optical model potential, which describes the refraction and absorption processes more or less schematically. Of special…

General Physics · Physics 2025-05-09 Richard Herrmann

One of the major open problems in theoretical physics is a consistent quantum gravity theory.Recent developments in thermodynamic phase transitions ofblack holes and their van der Waals-like behavior may provide an interesting quantum…

General Relativity and Quantum Cosmology · Physics 2020-06-26 Seyed Hossein Hendi , Shahram Panahiyan , Behzad Eslam Panah , Mubasher Jamil

We review an explicit regularization of the AdS$_2$/CFT$_1$ correspondence, that preserves all isometries of bulk and boundary degrees of freedom. This scheme is useful to characterize the space of the unitary evolution operators that…

High Energy Physics - Theory · Physics 2015-07-14 Minos Axenides , Emmanuel Floratos , Stam Nicolis

In holographic duality an eternal AdS black hole is described by two copies of the boundary CFT in the thermal field double state. In this paper we provide explicit constructions in the boundary theory of infalling time evolutions which can…

High Energy Physics - Theory · Physics 2023-11-13 Samuel Leutheusser , Hong Liu

The crossed product, and consequent transition from von Neumann algebras of type III to II, is recovered from a truncation of more general gravitational dressing constructions, about certain spacetimes. This is done by extending "standard…

High Energy Physics - Theory · Physics 2026-01-12 Steven B. Giddings

The task of compression of data -- as stated by the source coding theorem -- is one of the cornerstones of information theory. Data compression usually exploits statistical redundancies in the data according to its prior distribution.…

Quantum Physics · Physics 2021-01-08 Matheus Capela , Fabio Costa

Assuming the minimal time to send a bit of information in the Einstein clock synchronization of the two clocks located at different positions, we introduce the extended metric to the information space. This modification of relativity…

General Relativity and Quantum Cosmology · Physics 2018-05-01 Akio Hosoya , Shunsuke Fujii

What are the implications if the total 'information' in the universe is conserved? Black holes might be 'logic gates' recomputing the 'lost information' from incoming 'signals' from outside their event horizons into outgoing 'signals'…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Scott M. Hitchcock

In this paper, we develop an effective quantum theory of black hole horizons using only the local horizon geometry. On the covariant phase space of the Holst action admitting Weak Isolated Horizon as an inner boundary, we construct…

General Relativity and Quantum Cosmology · Physics 2019-09-19 Ayan Chatterjee , Amit Ghosh

A unitary effective field model of the black hole evaporation is proposed to satisfy almost the four postulates of the black hole complementarity (BHC). In this model, we enlarge a black hole-scalar field system by adding an extra radiation…

High Energy Physics - Theory · Physics 2014-12-17 Yu-Lei Feng , Yi-Xin Chen

The endpoint of black hole evaporation remains uncertain once the semiclassical description approaches the Planck scale. In this work we study late-stage evaporation within four-dimensional gravitational effective field theory. We consider…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Lorens F. Niehof , Sjors Heefer , Andrea Fuster , Federico Toschi