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Author: Thomas Thiemann
Publisher: Cambridge University Press
Published: 2008-11-13
Total Pages: 739
ISBN-13: 113946759X
DOWNLOAD EBOOK →This book provides a complete treatise of the canonical quantisation of general relativity and the loop quantum gravity theory. Mathematical concepts are provided, so it can be read by graduate students with a basic knowledge of quantum field theory or general relativity.
Author: Thomas Thiemann
Publisher: Cambridge University Press
Published: 2008-11-13
Total Pages: 0
ISBN-13: 9780521741873
DOWNLOAD EBOOK →Modern physics rests on two fundamental building blocks: general relativity and quantum theory. General relativity is a geometric interpretation of gravity while quantum theory governs the microscopic behaviour of matter. Since matter is described by quantum theory which in turn couples to geometry, we need a quantum theory of gravity. In order to construct quantum gravity one must reformulate quantum theory on a background independent way. Modern Canonical Quantum General Relativity provides a complete treatise of the canonical quantisation of general relativity. The focus is on detailing the conceptual and mathematical framework, on describing physical applications and on summarising the status of this programme in its most popular incarnation, called loop quantum gravity. Mathematical concepts and their relevance to physics are provided within this book, which therefore can be read by graduate students with basic knowledge of quantum field theory or general relativity.
Author: Thomas Thiemann
Publisher:
Published: 2014-05-14
Total Pages: 847
ISBN-13: 9780511367434
DOWNLOAD EBOOK →Modern physics rests on two fundamental building blocks: general relativity and quantum theory. General relativity is a geometric interpretation of gravity while quantum theory governs the microscopic behaviour of matter. Since matter is described by quantum theory which in turn couples to geometry, we need a quantum theory of gravity. In order to construct quantum gravity one must reformulate quantum theory on a background independent way. Modern Canonical Quantum General Relativity provides a complete treatise of the canonical quantisation of general relativity. The focus is on detailing the conceptual and mathematical framework, on describing physical applications and on summarising the status of this programme in its most popular incarnation, called loop quantum gravity. Mathematical concepts and their relevance to physics are provided within this book which therefore can be read by graduate students with basic knowledge of quantum field theory or general relativity.
Author: Martin Bojowald
Publisher: Cambridge University Press
Published: 2010-12-23
Total Pages: 313
ISBN-13: 1139494139
DOWNLOAD EBOOK →Canonical methods are a powerful mathematical tool within the field of gravitational research, both theoretical and experimental, and have contributed to a number of recent developments in physics. Providing mathematical foundations as well as physical applications, this is the first systematic explanation of canonical methods in gravity. The book discusses the mathematical and geometrical notions underlying canonical tools, highlighting their applications in all aspects of gravitational research from advanced mathematical foundations to modern applications in cosmology and black hole physics. The main canonical formulations, including the Arnowitt-Deser-Misner (ADM) formalism and Ashtekar variables, are derived and discussed. Ideal for both graduate students and researchers, this book provides a link between standard introductions to general relativity and advanced expositions of black hole physics, theoretical cosmology or quantum gravity.
Author: Craig Callender
Publisher: Cambridge University Press
Published: 2001-01-29
Total Pages: 380
ISBN-13: 9780521664455
DOWNLOAD EBOOK →Was the first book to examine the exciting area of overlap between philosophy and quantum mechanics with chapters by leading experts from around the world.
Author: Carlo Rovelli
Publisher: Cambridge University Press
Published: 2015
Total Pages: 267
ISBN-13: 1107069629
DOWNLOAD EBOOK →A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.
Author: Steven Carlip
Publisher: Cambridge University Press
Published: 2003-12-04
Total Pages: 296
ISBN-13: 9780521545884
DOWNLOAD EBOOK →The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Author: Eduard Prugovecki
Publisher: World Scientific
Published: 1995-01-20
Total Pages: 376
ISBN-13: 9814501174
DOWNLOAD EBOOK →This monograph explains and analyzes the principles of a quantum-geometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context. Contents: Survey of Principal Historical DevelopmentsClassical Frame Buddles in General RelativityQuantum Frames and Spacetime LocalizabilityQuantum Geometry over a Classical Base SpacetimeMassive Quantum-Geometic Boson FieldsMassive Quantum-Geometric Fermion FieldsMassless Quantum-Geometric Gauge FieldsQuantum-Geometric Gravity Readership: Theoretical physicists and mathematical physicists. keywords:Quantum Geometry;Quantum Gravity;Quantum-Geometric Fields in Curved Spacetime;Quantum Bundles “The reader gets the impression that the present monograph represents the state of the art in this special discipline of mathematical physics and that new vistas in our understanding of quantum gravity are opened. Valuable résumés after sound mathematical derivations are helpful in understanding the motivation of the author and clarifying his intentions. Therefore, the monograph can be recommended for researchers and those who are interested in the frontiers of the unifying of basic physical phenomena.” B Kämpfer Zeitschrift für Kristallographie
Author: Carlo Rovelli
Publisher: Cambridge University Press
Published: 2007-11-29
Total Pages: 516
ISBN-13: 1139456156
DOWNLOAD EBOOK →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.
Author: Claus Kiefer
Publisher: Oxford University Press
Published: 2012-04-05
Total Pages: 406
ISBN-13: 0199585202
DOWNLOAD EBOOK →Quantum theory and Einstein's theory of relativity are at the centre of modern theoretical physics, yet, the consistent unification of both theories is still elusive. This book offers an up-to-date introduction into the attempts to construct a unified theory of "quantum gravity".
