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Black holes have their own thermodynamics including notions of entropy and temperature and versions of the three laws. After a light introduction to black hole physics, I recollect how black hole thermodynamics evolved in the 1970's, while…

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

We review some recent advances in black hole thermodynamics, including statistical mechanical origins of black hole entropy and its leading order corrections, from the viewpoints of various quantum gravity theories. We then examine the…

High Energy Physics - Theory · Physics 2008-11-26 Saurya Das

During the past three decades investigators have unveiled a number of deep connections between physical information and black holes whose consequences for ordinary systems go beyond what has been deduced purely from the axioms of…

Quantum Physics · Physics 2008-11-26 Jacob D. Bekenstein

I discuss fundamental limits placed on information and information processing by gravity. Such limits arise because both information and its processing require energy, while gravitational collapse (formation of a horizon or black hole)…

High Energy Physics - Theory · Physics 2009-09-29 Stephen D. H. Hsu

We derive a fundamental upper bound on the rate at which a device can process information (i.e., the number of logical operations per unit time), arising from quantum mechanics and general relativity. In Planck units a device of volume V…

High Energy Physics - Theory · Physics 2009-11-11 Stephen D. H. Hsu

Black hole evaporation is investigated in a (1+1)-dimensional model of quantum gravity. Quantum corrections to the black hole entropy are computed, and the fine-grained entropy of the Hawking radiation is studied. A generalized second law…

High Energy Physics - Theory · Physics 2009-09-25 Thomas M. Fiola , John Preskill , Andrew Strominger , Sandip P. Trivedi

Fundamental limits on the controllability of physical systems are discussed in the light of information theory. It is shown that the second law of thermodynamics, when generalized to include information, sets absolute limits to the minimum…

chao-dyn · Physics 2007-05-23 Hugo Touchette , Seth Lloyd

Connections between information theory and thermodynamics have proven to be very useful to establish bounding limits for physical processes. Ideas such as Landauer's erasure principle and information assisted work extraction have greatly…

Quantum Physics · Physics 2013-12-17 Kaonan Micadei , Roberto M. Serra , Lucas C. Celeri

After reviewing the relation of entropy to information, I derive the entropy bound as applied to bounded weakly gravitating systems, and review the bound's applications to cosmology as well as its extensions to higher dimensions. I then…

Quantum Physics · Physics 2014-11-18 Jacob D. Bekenstein

Understanding the connections between information and thermodynamics has been among the most visible applications of stochastic thermodynamics. While recent theoretical advances have established that the second law of thermodynamics sets…

Statistical Mechanics · Physics 2021-10-22 Joseph N. E. Lucero , Jannik Ehrich , John Bechhoefer , David A. Sivak

The ultimate limits of computation are not just logical, but physical. We investigate the physical resources -- time, energy, entropy, and free energy -- required to perform computational work. We apply the resulting measures of physical…

Quantum Physics · Physics 2025-06-23 Michele Reilly , Seth Lloyd

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

Black holes are extremely relativistic objects. Physical processes around them occur in a regime where the gravitational field is extremely intense. Under such conditions, our representations of space, time, gravity, and thermodynamics are…

History and Philosophy of Physics · Physics 2014-09-12 Gustavo E. Romero

The relationship between thermodynamics and statistical physics is valid in the thermodynamic limit - when the number of particles becomes very large. Here, we study thermodynamics in the opposite regime - at both the nano scale, and when…

Quantum Physics · Physics 2014-10-28 Michał Horodecki , Jonathan Oppenheim

Information theory is increasingly invoked by physicists concerned with fundamental physics, including black hole physics. But to what extent is the application of information theory in those contexts legitimate? Using the case of black…

History and Philosophy of Physics · Physics 2017-09-21 Christian Wuthrich

Information-theoretic approaches provide a promising avenue for extending the laws of thermodynamics to the nanoscale. Here, we provide a general fundamental lower limit, valid for systems with an arbitrary Hamiltonian and in contact with…

Quantum Physics · Physics 2018-05-08 Philippe Faist , Renato Renner

The deep connection between thermodynamics, computation, and information is now well established both theoretically and experimentally. Here, we extend these ideas to show that thermodynamics also places fundamental constraints on…

Biological Physics · Physics 2014-10-08 Alex H. Lang , Charles K. Fisher , Thierry Mora , Pankaj Mehta

Gathering information about a system enables greater control over it. This principle lies at the core of information engines, which use measurement-based feedback to rectify thermal noise and convert information into work. Originating from…

Statistical Mechanics · Physics 2025-01-24 Rémi Goerlich , Laura Hoek , Omer Chor , Saar Rahav , Yael Roichman

We have known for more than thirty years that black holes behave as thermodynamic systems, radiating as black bodies with characteristic temperatures and entropies. This behavior is not only interesting in its own right; it could also,…

General Relativity and Quantum Cosmology · Physics 2009-01-28 Steven Carlip

Thermodynamics is a macroscopic physical theory whose two very general laws are independent of any underlying dynamical laws and structures. Nevertheless, its generality enables us to understand a broad spectrum of phenomena in physics,…

Quantum Physics · Physics 2009-11-10 K. Maruyama , C. Brukner , V. Vedral
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