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Modern Canonical Quantum General Relativity

2008-11-13 Science
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Release : 2008-11-13
Genre : Science
Kind : eBook
Book Rating : 59X/5 ( reviews)

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Book Synopsis Modern Canonical Quantum General Relativity by : Thomas Thiemann

Download or read book Modern Canonical Quantum General Relativity written by Thomas Thiemann. This book was released on 2008-11-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Modern Canonical Quantum General Relativity

2001
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Release : 2001
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Book Synopsis Introduction to Modern Canonical Quantum General Relativity by : Thomas Thiemann

Download or read book Introduction to Modern Canonical Quantum General Relativity written by Thomas Thiemann. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt:

Canonical Gravity and Applications

2010-12-23 Science
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Release : 2010-12-23
Genre : Science
Kind : eBook
Book Rating : 139/5 ( reviews)

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Book Synopsis Canonical Gravity and Applications by : Martin Bojowald

Download or read book Canonical Gravity and Applications written by Martin Bojowald. This book was released on 2010-12-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Gravity

2007-11-29 Science
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Release : 2007-11-29
Genre : Science
Kind : eBook
Book Rating : 156/5 ( reviews)

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Book Synopsis Quantum Gravity by : Carlo Rovelli

Download or read book Quantum Gravity written by Carlo Rovelli. This book was released on 2007-11-29. 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.

Canonical Quantum Gravity: Fundamentals And Recent Developments

2014-05-21 Science
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Release : 2014-05-21
Genre : Science
Kind : eBook
Book Rating : 661/5 ( reviews)

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Book Synopsis Canonical Quantum Gravity: Fundamentals And Recent Developments by : Francesco Cianfrani

Download or read book Canonical Quantum Gravity: Fundamentals And Recent Developments written by Francesco Cianfrani. This book was released on 2014-05-21. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler-DeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar-Barbero-Immirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler-DeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments.

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