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Three Lectures on Complexity and Black Holes

Author: Leonard Susskind

Publisher: Springer Nature

Published: 2020-05-11

Total Pages: 93

ISBN-13: 3030451097

These three lectures cover a certain aspect of complexity and black holes, namely the relation to the second law of thermodynamics. The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, and the second law of complexity. Lecture two reviews the connection between the second law of complexity and the interior of black holes. Prof. L. Susskind discusses how firewalls are related to periods of non-increasing complexity which typically only occur after an exponentially long time. The final lecture is about the thermodynamics of complexity, and “uncomplexity” as a resource for doing computational work. The author explains the remarkable power of “one clean qubit,” in both computational terms and in space-time terms. This book is intended for graduate students and researchers who want to take the first steps towards the mysteries of black holes and their complexity.

Lectures on Quantum Gravity

Author: Andres Gomberoff

Publisher: Springer Science & Business Media

Published: 2005-05-13

Total Pages: 370

ISBN-13: 9780387239958

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The 2002 Pan-American Advanced Studies Institute School on Quantum Gravity was held at the Centro de Estudios Cientificos (CECS),Valdivia, Chile, January 4-14, 2002. The school featured lectures by ten speakers, and was attended by nearly 70 students from over 14 countries. A primary goal was to foster interaction and communication between participants from different cultures, both in the layman’s sense of the term and in terms of approaches to quantum gravity. We hope that the links formed by students and the school will persist throughout their professional lives, continuing to promote interaction and the essential exchange of ideas that drives research forward. This volume contains improved and updated versions of the lectures given at the School. It has been prepared both as a reminder for the participants, and so that these pedagogical introductions can be made available to others who were unable to attend. We expect them to serve students of all ages well.

Advanced Lectures on General Relativity

Author: Geoffrey Compère

Publisher: Springer

Published: 2019-01-31

Total Pages: 140

ISBN-13: 303004260X

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These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.

Information Theory

Author: Bertrand Duplantier

Publisher: Springer Nature

Published: 2021-07-19

Total Pages: 209

ISBN-13: 3030814807

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This eighteenth volume in the Poincaré Seminar Series provides a thorough description of Information Theory and some of its most active areas, in particular, its relation to thermodynamics at the nanoscale and the Maxwell Demon, and the emergence of quantum computation and of its counterpart, quantum verification. It also includes two introductory tutorials, one on the fundamental relation between thermodynamics and information theory, and a primer on Shannon's entropy and information theory. The book offers a unique and manifold perspective on recent mathematical and physical developments in this field.

Photonic Artificial Intelligence

Author: Aleksandr Raikov

Publisher: Springer Nature

Published:

Total Pages: 118

ISBN-13: 9819712912

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Ahuman Pedagogy

Author: Jessie L. Beier

Publisher: Springer Nature

Published: 2022-07-14

Total Pages: 306

ISBN-13: 3030947203

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This book brings together a collection of multi-disciplinary voices to discuss, debate, and devise a series of ahuman pedagogical proposals that aim to address the challenging ecological, political, social, economic, and aesthetic milieu within which education is situated today. Attending to contemporary calls to decenter all-too-human educational research and practice, while also coming to terms with the limits and inheritances through which such calls are made possible in the first place, this book aims to interrogate, but also invent, what we are calling an ahuman pedagogy. Organized in three main sections — Conjuring an Ahuman Pedagogy, Machinic Re/distributions, and Non-pedagogies for Unthought Futures — this multi-disciplinary experiment in ahuman pedagogies for the age of the Anthropocene offers an experimental – albeit always speculative and incomplete – series of pedagogical proposals that work to unthink and counter-actualize educational futures-as-usual.

Black Holes

Author: Kip S. Thorne

Publisher: Yale University Press

Published: 1986-01-01

Total Pages: 392

ISBN-13: 9780300037708

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A pedagogical introduction to the physics of black holes. The membrane paradigm represents the four-dimensional spacetime of the black hole's "event horizon" as a two-dimensional membrane in three-dimensional space, allowing the reader to understand and compute the behavior of black holes in complex astrophysical environments.

Statistical Mechanics

Author: James Sethna

Publisher: OUP Oxford

Published: 2006-04-07

Total Pages: 374

ISBN-13: 0191566217

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In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.

The Biggest Ideas in the Universe

Author: Sean Carroll

Publisher: Penguin

Published: 2022-09-20

Total Pages: 305

ISBN-13: 0593186583

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INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.

Holographic Entanglement Entropy

Author: Mukund Rangamani

Publisher: Springer

Published: 2017-05-08

Total Pages: 246

ISBN-13: 3319525735

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This book provides a comprehensive overview of developments in the field of holographic entanglement entropy. Within the context of the AdS/CFT correspondence, it is shown how quantum entanglement is computed by the area of certain extremal surfaces. The general lessons one can learn from this connection are drawn out for quantum field theories, many-body physics, and quantum gravity. An overview of the necessary background material is provided together with a flavor of the exciting open questions that are currently being discussed. The book is divided into four main parts. In the first part, the concept of entanglement, and methods for computing it, in quantum field theories is reviewed. In the second part, an overview of the AdS/CFT correspondence is given and the holographic entanglement entropy prescription is explained. In the third part, the time-dependence of entanglement entropy in out-of-equilibrium systems, and applications to many body physics are explored using holographic methods. The last part focuses on the connection between entanglement and geometry. Known constraints on the holographic map, as well as, elaboration of entanglement being a fundamental building block of geometry are explained. The book is a useful resource for researchers and graduate students interested in string theory and holography, condensed matter and quantum information, as it tries to connect these different subjects linked by the common theme of quantum entanglement.