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On Generalised Statistical Equilibrium And Discrete Quantum Gravity
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Book Synopsis On Generalised Statistical Equilibrium and Discrete Quantum Gravity by : Isha Kotecha
Download or read book On Generalised Statistical Equilibrium and Discrete Quantum Gravity written by Isha Kotecha and published by Springer Nature. This book was released on 2022-01-29 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Absolute concepts of time and energy are integral to standard thermal physics, but background independent systems are devoid of them. This thesis explores the foundational question of generalising equilibrium statistical mechanics to background independent systems, and applies the resulting formulation to non-perturbative discrete quantum gravity. It offers a discussion of the rich interface of thermal physics and quantum gravity in this context, providing a broad contextualisation of such topics. This work details how standard tools from many-body physics can be generalised to discrete quantum gravity labelled with graph-based, or dual polyhedral, quanta that are common to various approaches like tensorial group field theory, loop quantum gravity, dynamical triangulations and lattice quantum gravity. It provides a systematic investigation, both conceptual and technical, of quantum gravitational Gibbs states, thermofield double vacuum states, and their application in condensate cosmology to probe questions of Big Bang singularity resolution and geometric inflation.
Book Synopsis Progress in Group Field Theory and Related Quantum Gravity Formalisms by : Steffen Gielen
Download or read book Progress in Group Field Theory and Related Quantum Gravity Formalisms written by Steffen Gielen and published by MDPI. This book was released on 2020-07-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.
Book Synopsis Geometric Science of Information by : Frank Nielsen
Download or read book Geometric Science of Information written by Frank Nielsen and published by Springer. This book was released on 2019-08-19 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 4th International Conference on Geometric Science of Information, GSI 2019, held in Toulouse, France, in August 2019. The 79 full papers presented in this volume were carefully reviewed and selected from 105 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications.
Author :Domenico J. W. Giulini Publisher :Springer Science & Business Media ISBN 13 :9783540408109 Total Pages :426 pages Book Rating :4.4/5 (81 download)
Book Synopsis Quantum Gravity by : Domenico J. W. Giulini
Download or read book Quantum Gravity written by Domenico J. W. Giulini and published by Springer Science & Business Media. This book was released on 2003-09-16 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relation between quantum theory and the theory of gravitation remains one of the most outstanding unresolved issues of modern physics. According to general expectation, general relativity as well as quantum (field) theory in a fixed background spacetime cannot be fundamentally correct. Hence there should exist a broader theory comprising both in appropriate limits, i.e., quantum gravity. This book gives readers a comprehensive introduction accessible to interested non-experts to the main issues surrounding the search for quantum gravity. These issues relate to fundamental questions concerning the various formalisms of quantization; specific questions concerning concrete processes, like gravitational collapse or black-hole evaporation; and the all important question concerning the possibility of experimental tests of quantum-gravity effects.
Author :Behram N. Kursunogammalu Publisher :Springer Science & Business Media ISBN 13 :0306471043 Total Pages :228 pages Book Rating :4.3/5 (64 download)
Book Synopsis Quantum Gravity, Generalized Theory of Gravitation, and Superstring Theory-Based Unification by : Behram N. Kursunogammalu
Download or read book Quantum Gravity, Generalized Theory of Gravitation, and Superstring Theory-Based Unification written by Behram N. Kursunogammalu and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Held December 16-19, 1999, these proceedings are derived from the Global Foundation Inc.'s Orbis Scientiae 1999. Topics include: cosmological parameters; unifying elementary particle physics; cosmology; superstrings; and black holes.
Download or read book Quantum Gravity written by Carlo Rovelli and published by Cambridge University Press. This book was released on 2007-11-29 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum gravity is perhaps the most important open problem in fundamental physics. It is the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this 2004 book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time.
Book Synopsis Probabilistic Methods in Quantum Field Theory and Quantum Gravity by : Poul Henrik Damgaard
Download or read book Probabilistic Methods in Quantum Field Theory and Quantum Gravity written by Poul Henrik Damgaard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.
Book Synopsis Introduction to Quantum Statistical Mechanics by : Nikolaĭ Nikolaevich Bogoli͡ubov
Download or read book Introduction to Quantum Statistical Mechanics written by Nikolaĭ Nikolaevich Bogoli͡ubov and published by World Scientific Publishing Company. This book was released on 2010 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Quantum Statistical Mechanics (2nd Edition) may be used as an advanced textbook by graduate students, even ambitious undergraduates in physics. It is also suitable for non experts in physics who wish to have an overview of some of the classic and fundamental quantum models in the subject. The explanation in the book is detailed enough to capture the interest of the reader, and complete enough to provide the necessary background material needed to dwell further into the subject and explore the research literature.
Book Synopsis Foundations of Space and Time by : Jeff Murugan
Download or read book Foundations of Space and Time written by Jeff Murugan and published by Cambridge University Press. This book was released on 2012-07-19 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encapsulates the latest debates on this topic, giving researchers and graduate students an up-to-date view of the field.
Book Synopsis Loop Quantum Gravity: The First 30 Years by : Abhay Ashtekar
Download or read book Loop Quantum Gravity: The First 30 Years written by Abhay Ashtekar and published by World Scientific. This book was released on 2017-03-16 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Written by young theoretical physicists who are experts in the field, this volume is meant both to provide an introduction to the field and to offer a review of the latest developments, not discussed in many other existing books, for senior researchers. It will also appeal to scientists who do not work directly on LQG but are interested in issues at the interface of general relativity and quantum physics.'CERN CourierThis volume presents a snapshot of the state-of-the-art in loop quantum gravity from the perspective of younger leading researchers. It takes the reader from the basics to recent advances, thereby bridging an important gap.The aim is two-fold — to provide a contemporary introduction to the entire field for students and post-docs, and to present an overview of the current status for more senior researchers. The contributions include the latest developments that are not discussed in existing books, particularly recent advances in quantum dynamics both in the Hamiltonian and sum over histories approaches; and applications to cosmology of the early universe and to the quantum aspects of black holes.
Book Synopsis Quantum Statistical Mechanics by : Phil Attard
Download or read book Quantum Statistical Mechanics written by Phil Attard and published by . This book was released on 2014-12-15 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear and self-contained exposition of quantum statistical mechanics, focussing on the foundations. The unifying theme is the statistical entropy, as modified for quantum systems. From this is derived the conventional expressions for equilibrium quantum statistical mechanics, and, most exciting, their extension to non-equilibrium, time-dependent systems. A unified treatment of the equilibrium and non-equilibrium fields is given based upon the conservation laws, time symmetries, and the second law of thermodynamics. One theme of the book is the collapse of the wave function of an open quantum system, which leads to the Maxwell-Boltzmann probability operator, its relationship to the density matrix, and the von Neumann trace expression for a statistical average. A second theme is the development of the appropriate entropy for quantum systems, which, in conjunction with the second law, gives the stochastic, dissipative Schrdinger equation for an open quantum system and the fluctuation-dissipation theorem for the time propagator. A final theme is the derivation of the probability operator for non-equilibrium systems and irreversible processes, which lies at the cutting edge of modern research.
Book Synopsis Quantum Fluctuations of Spacetime by : Lawrence B. Crowell
Download or read book Quantum Fluctuations of Spacetime written by Lawrence B. Crowell and published by World Scientific. This book was released on 2005 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three key aspects of quantum gravity are considered in this book: phenomenology, potential experimental aspects and foundational theory. The phenomenology is the treatment of metric quantum fluctuations as torsional curves that deviate from classical expectations. This leads to possible experimental configurations that may detect such fluctuations. Most of these proposed experiments are quantum optical measurements of subtle quantum gravity effects in the interaction of photons and atoms. The foundational discussions attempt to find an substratum to string theories, which are motivated by the phenomenological treatment. Quantum gravity is not the quantization of general relativity, but is instead the embedding of quantum theory and gravitation into a more fundamental field theoretic framework.
Book Synopsis Equilibrium Statistical Mechanics by : Frank C. Andrews
Download or read book Equilibrium Statistical Mechanics written by Frank C. Andrews and published by . This book was released on 1963 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Field Theory of Non-equilibrium States by : Jørgen Rammer
Download or read book Quantum Field Theory of Non-equilibrium States written by Jørgen Rammer and published by Cambridge University Press. This book was released on 2011-03-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is the application of quantum mechanics to systems with infinitely many degrees of freedom. This 2007 textbook presents quantum field theoretical applications to systems out of equilibrium. It introduces the real-time approach to non-equilibrium statistical mechanics and the quantum field theory of non-equilibrium states in general. It offers two ways of learning how to study non-equilibrium states of many-body systems: the mathematical canonical way and an easy intuitive way using Feynman diagrams. The latter provides an easy introduction to the powerful functional methods of field theory, and the use of Feynman diagrams to study classical stochastic dynamics is considered in detail. The developed real-time technique is applied to study numerous phenomena in many-body systems. Complete with numerous exercises to aid self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.
Book Synopsis Gravity, Gauge Theories and Quantum Cosmology by : J.V. Narlikar
Download or read book Gravity, Gauge Theories and Quantum Cosmology written by J.V. Narlikar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: For several decades since its inception, Einstein's general theory of relativity stood somewhat aloof from the rest of physics. Paradoxically, the attributes which normally boost a physical theory - namely, its perfection as a theoreti cal framework and the extraordinary intellectual achievement underlying i- prevented the general theory from being assimilated in the mainstream of physics. It was as if theoreticians hesitated to tamper with something that is manifestly so beautiful. Happily, two developments in the 1970s have narrowed the gap. In 1974 Stephen Hawking arrived at the remarkable result that black holes radiate after all. And in the second half of the decade, particle physicists discovered that the only scenario for applying their grand unified theories was offered by the very early phase in the history of the Big Bang universe. In both cases, it was necessary to discuss the ideas of quantum field theory in the background of curved spacetime that is basic to general relativity. This is, however, only half the total story. If gravity is to be brought into the general fold of theoretical physics we have to know how to quantize it. To date this has proved a formidable task although most physicists would agree that, as in the case of grand unified theories, quantum gravity will have applications to cosmology, in the very early stages of the Big Bang universe. In fact, the present picture of the Big Bang universe necessarily forces us to think of quantum cosmology.
Book Synopsis Quantum Statistical Mechanics by : Phil Attard
Download or read book Quantum Statistical Mechanics written by Phil Attard and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book establishes the foundations of non-equilibrium quantum statistical mechanics in order to support students and academics in developing and building their understanding. The formal theory is derived from first principles by mathematical analysis, with concrete physical interpretations and worked examples throughout. It explains the central role of entropy; it's relation to the probability operator and the generalisation to transitions, as well as providing first principles derivation of the von Neumann trace form, the Maxwell-Boltzmann form and the Schrödinger equation.
Book Synopsis Quantum Statistical Mechanics by : P Attard
Download or read book Quantum Statistical Mechanics written by P Attard and published by Myprint. This book was released on 2015-10-29 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
