Download or read book Three Lectures on Complexity and Black Holes written by Leonard Susskind and published by Springer Nature. This book was released on 2020-05-11 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Modeling Black Hole Evaporation written by Jose Navarro-salas and published by World Scientific. This book was released on 2005-01-24 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of this book is two-fold: the first part gives a fully detailed and pedagogical presentation of the Hawking effect and its physical implications, and the second discusses the backreaction problem, especially in connection with exactly solvable semiclassical models that describe analytically the black hole evaporation process.The book aims to establish a link between the general relativistic viewpoint on black hole evaporation and the new CFT-type approaches to the subject. The detailed discussion on backreaction effects is also extremely valuable./a
Download or read book Conversations on Quantum Gravity written by Jácome (Jay) Armas and published by Cambridge University Press. This book was released on 2021-08-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The holy grail of theoretical physics is to find the theory of everything that combines all the forces of nature, including gravity. This book addresses the question: how far are we from such discovery? Over the last few decades, multiple roads to finding a quantum theory of gravity have been proposed but no obvious description of nature has emerged in this domain. What is to be made of this situation? This volume probes the state-of-the art in this daunting quest of theoretical physics by collecting critical interviews with nearly forty leading theorists in this field. These broad-ranging conversations give important insights and candid opinions on the various approaches to quantum gravity, including string theory, loop quantum gravity, causal set theory and asymptotic safety. This unique, readable overview provides a gateway into cutting edge research for students and others who wish to engage with the open problem of quantum gravity.
Download or read book Quantum Black Holes written by Xavier Calmet and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by foremost experts, this short book gives a clear description of the physics of quantum black holes. The reader will learn about quantum black holes in four and higher dimensions, primordial black holes, the production of black holes in high energy particle collisions, Hawking radiation, black holes in models of low scale quantum gravity and quantum gravitational aspects of black holes.
Download or read book Holographic Entanglement Entropy written by Mukund Rangamani and published by Springer. This book was released on 2017-05-08 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book String Theory And Quantum Gravity 92 Proceedings Of The Trieste Spring School And Workshop written by Jeffrey A Harvey and published by World Scientific. This book was released on 1993-06-30 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Ising Model and N = 2 Supersymmetric Theories (S Cecotti & C Vafa)The Dark Side of String Theory: Black Holes and Black Strings (G T Horowitz)Some Recent Developments in Closed String Field Theory (A Sen) Quantum Aspects of Black Holes (J A Harvey & A Strominger)The One Dimensional Matrix Model and String Theory (S R Das)Gravity and Gauge Theory at High Energies (H Verlinde)Notes on N = 2 σ-Models (J Distler)The W Geometry of Chiral Surfaces in Complex Projective Spaces (J-L Gervals)On Physical States in 2d (Topological) Gravity (P Bouwknegt et al)Dynamics of the Conformal Factor in 4D Gravity (I Antoniadis)Non-Relativistic Fermions, Coadjoint Orbits of W8 and String Field Theory at c = 1 (A Dhar et al)Simplicial Quantum Gravity (J Ambjørn et al)Gravitational Scattering at Planckian Energies: The Eikonal and Beyond (D Amati)A Proposal for D > 1 Strings? (L Alvarez-Gaumé & J L F Barbón)Differential Equations in Special Kähler Geometry (J Louis)N = 2 First Order Systems: Landau-Ginzburg Potentials and Topological Twist (P Fre & P Soriani) Readership: High energy physicists. keywords:
Download or read book Constrained Optimization and Lagrange Multiplier Methods written by Dimitri P. Bertsekas and published by Academic Press. This book was released on 2014-05-10 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science and Applied Mathematics: Constrained Optimization and Lagrange Multiplier Methods focuses on the advancements in the applications of the Lagrange multiplier methods for constrained minimization. The publication first offers information on the method of multipliers for equality constrained problems and the method of multipliers for inequality constrained and nondifferentiable optimization problems. Discussions focus on approximation procedures for nondifferentiable and ill-conditioned optimization problems; asymptotically exact minimization in the methods of multipliers; duality framework for the method of multipliers; and the quadratic penalty function method. The text then examines exact penalty methods, including nondifferentiable exact penalty functions; linearization algorithms based on nondifferentiable exact penalty functions; differentiable exact penalty functions; and local and global convergence of Lagrangian methods. The book ponders on the nonquadratic penalty functions of convex programming. Topics include large scale separable integer programming problems and the exponential method of multipliers; classes of penalty functions and corresponding methods of multipliers; and convergence analysis of multiplier methods. The text is a valuable reference for mathematicians and researchers interested in the Lagrange multiplier methods.
Download or read book Classical And Quantum Gravity Proceedings Of The First Iberian Meeting On Gravity written by M C Bento and published by World Scientific. This book was released on 1993-12-22 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the First Iberian Meeting on Gravity give a broad view of the most recent research on gravity. Black hole thermodynamics, wormhole solutions and covariant path integral quantization are some of the topics discussed. The mainstream approaches to quantum gravity, such as loop space quantization and string theories, are presented. Also included are the trendy subjects of two-dimensional quantum gravity and unitary matrix models.
Download or read book Strings 93 Proceedings Of The Conference written by Martin B Halpern and published by World Scientific. This book was released on 1995-03-16 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives an up-to-date account of the major activities in the general area of string theory. String phenomenology, mirror symmetry, duality black hole physics, topological and conformal field theory, 2D gravity and QCD related developments are reviewed in detail.
Download or read book 3rd Dimension and Human Volume II written by Prof. Dr. Bilal Semih Bozdemir and published by Prof. Dr. Bilal Semih Bozdemir. This book was released on with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Humans and the Third Dimension; A Journey of Discovery The Limits of Our Perceptions Our Three-Dimensional World: A Familiar Reality Space and Time: Basic Concepts The Limits of Human Perception: Sight, Hearing, Touch Other Senses: Smell and Taste The Sixth Sense: Intuition and Insight The Subconscious and the Superconscious: Hidden Worlds Dreams and Reality: Is There a Difference? Parallel Universes: Possibilities and Scenarios Quantum Physics: On the Nature of Reality Quantum Entanglement: Separate But Connected Superposition: Being in More Than One State Quantum Examples: Reflections in Daily Life Time Travel: Is It Possible? The Theory of Relativity of Time: Einstein's Legacy Black Holes: The End of Time? Wormholes: Transitioning from One Dimension to Another The Theory of the Multiverse: Infinite Possibilities The Fourth Dimension and Beyond: Challenges of Conceptualization Human Consciousness and Dimensions: Is There a Connection? Aura and Energy Fields: Invisible Worlds Meditation and Consciousness Expansion: New Perspectives Astral Travel: Unconscious Experiences Telepathy and Remote Influence: Mind Power Dream Interpretation: Signs of the Subconscious Kabbalah and Dimensions: The View of the Ancient Sages Buddhism and Dimensions: Spiritual Development Hinduism and Dimensions: Karma and Reincarnation Shamanism and Dimensions: Spiritual Journeys Human Body and Energy Centers: Chakras Chakra Balancing and Healing: Holistic Approach Frequencies and Vibrations: The Language of Energy Crystals and Energy: Healing and Balance Reiki and Energy Healing: Modern Applications Spiritual Applications: Interdimensional Connections Traces of the Unseen World: Historical Examples Mysterious Events: The Unexplained Phenomenon UFOs and Aliens: Fact or Fiction? Exploration of the Unknown: A Continuous Process Man's Place in the Universe: Existential Questions
Download or read book Gravitation and cosmology Proceedings of the Spanish Relativity Meeting written by Alberto Lobo and published by Edicions Universitat Barcelona. This book was released on 2003 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Minkowski Spacetime A Hundred Years Later written by Vesselin Petkov and published by Springer Science & Business Media. This book was released on 2010-03-11 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the one hundredth anniversary of the 1909 publication of Minkowski’s seminal paper "Space and Time", this volume includes a fresh translation as well as the original in German, and a number of contributed papers on the still-controversial subject.
Download or read book Mathematical Reviews written by and published by . This book was released on 1996 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Literature 1984 Part 1 written by S. Böhme and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 947 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Asymptotic Safety and Black Holes written by Kevin Falls and published by Springer Science & Business Media. This book was released on 2013-11-26 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the open challenges in fundamental physics is to combine Einstein's theory of general relativity with the principles of quantum mechancis. In this thesis, the question is raised whether metric quantum gravity could be fundamental in the spirit of Steven Weinberg's seminal asymptotic safety conjecture, and if so, what are the consequences for the physics of small, possibly Planck-size black holes? To address the first question, new techniques are provided which allow, for the first time, a self-consistent study of high-order polynomial actions including up to 34 powers in the Ricci scalar. These novel insights are then exploited to explain quantum gravity effects in black holes, including their horizon and causal structure, conformal scaling, evaporation, and the thermodynamics of quantum space-time. Results indicate upper limits on black hole temperature, and the existence of small black holes based on asymptotic safety for gravity and thermodynamical arguments.
Download or read book String Theory Quantum Gravity And The Unification Of The Fundamental Interactions Proceedings Of The Conference written by Massimo Bianchi and published by World Scientific. This book was released on 1993-08-27 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory is the candidate for the unification of all fundamental interactions including gravity. In the past few years this active field of research has developed very rapidly and in several different directions. The aim of the conference is to give an overview of the status of the art in string theory through the contributions of the major experts in this field. The main topics include: string unification and effective Lagrangians, N=2 string theories, 2-d quantum gravity, stringy black holes, topological field theory, conformal field theories, strings and quantum field theory.
Download or read book Introduction to Black Hole Physics written by Valeri P. Frolov and published by OUP Oxford. This book was released on 2011-09-23 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about black holes, one of the most intriguing objects of modern theoretical physics and astrophysics. For many years, black holes have been considered as interesting solutions of the Theory of General Relativity with a number of amusing mathematical properties. Now after the discovery of astrophysical black holes, the Einstein gravity has become an important tool for their study. This self-contained textbook combines physical, mathematical, and astrophysical aspects of black hole theory. Pedagogically presented, it contains 'standard' material on black holes as well as relatively new subjects such as the role of hidden symmetries in black hole physics, and black holes in spacetimes with large extra dimensions. The book will appeal to students and young scientists interested in the theory of black holes.
