Knots And Quantum Gravity

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Knots And Quantum Gravity

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Author : John C. Baez
language : en
Publisher:
Release Date : 1994

Knots And Quantum Gravity written by John C. Baez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

This book is the first title in a new series from Oxford University Press; a series designed to make the most recent applied mathematics research more easily accessible to all professionals, postgraduates, and researchers pursuing a specific line of investigation. Recent work by mathematicians and physicists has uncovered surprising connections between knot theory and the problem of developing a quantum theory of gravity. This volume is the proceedings of a workshop held at the University of California at Riverside attended by many experts in this exciting area of research. The purpose of the workshop was to bring together researchers in knot theory and quantum gravity and form more bridges between the two subjects. Most of the talks were given by researchers whose work has significance for both subjects. This volume contains expository papers as well as new results, and should serve as a guide for mathematicians and physicists seeking to understand this rapidly developing area of research.

Loops Knots Gauge Theories And Quantum Gravity

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Author : Rodolfo Gambini
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-03

Loops Knots Gauge Theories And Quantum Gravity written by Rodolfo Gambini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-03 with Mathematics categories.

Now in paperback, this text provides a self-contained introduction to applications of loop representations and knot theory in particle physics and quantum gravity. Loop representations (and the related topic of knot theory) are of considerable current interest because they provide a unified arena for the study of the gauge invariant quantization of Yang-Mills theories and gravity, and suggest a promising approach to the eventual unification of the four fundamental forces. This text begins with a detailed review of loop representation theory. It then goes on to describe loop representations in Maxwell theory, Yang-Mills theories as well as lattice techniques. Applications in quantum gravity are then discussed in detail. Following chapters move on to consider knot theories, braid theories and extended loop representations in quantum gravity. A final chapter assesses the current status of the theory and points out possible directions for future research.

Gauge Fields Knots And Gravity

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Author : John C. Baez
language : en
Publisher:
Release Date : 2001

Gauge Fields Knots And Gravity written by John C. Baez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

The Interface Of Knots And Physics

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Author : Louis H. Kauffman
language : en
Publisher: American Mathematical Soc.
Release Date : 1995-12-01

The Interface Of Knots And Physics written by Louis H. Kauffman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-01 with Knot theory categories.

This book is the result of an AMS Short Course on Knots and Physics that was held in San Francisco (January 1994). The range of the course went beyond knots to the study of invariants of low dimensional manifolds and extensions of this work to four manifolds and to higher dimensions. The authors use ideas and methods of mathematical physics to extract topological information about knots and manifolds. Features: A basic introduction to knot polynomials in relation to statistical link invariants. Concise introductions to topological quantum field theories and to the role of knot theory in quantum gravity. Knots and Physics would be an excellent supplement to a course on algebraic topology or a physics course on field theory.

Knots And Physics

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Author : Louis H. Kauffman
language : en
Publisher: World Scientific
Release Date : 2001

Knots And Physics written by Louis H. Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.

Frontiers Of Field Theory Quantum Gravity And Strings

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Author : R. K. Kaul
language : en
Publisher: Nova Biomedical Books
Release Date : 1999

Frontiers Of Field Theory Quantum Gravity And Strings written by R. K. Kaul and has been published by Nova Biomedical Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

Frontiers in Field Theory, Quantum Gravity & Strings

Classical And Quantum Gravity

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Author :
language : en
Publisher:
Release Date : 1998

Classical And Quantum Gravity written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Gravitation categories.

Constrained Dynamics And Quantum Gravity 1996

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Author : Vittorio De Alfaro
language : en
Publisher:
Release Date : 1997

Constrained Dynamics And Quantum Gravity 1996 written by Vittorio De Alfaro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Black holes (Astronomy) categories.

Knots And Applications

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Author : Thaddeus M Cowan
language : en
Publisher: World Scientific
Release Date : 1995-03-06

Knots And Applications written by Thaddeus M Cowan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-03-06 with categories.

This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology. Included are reprints of the work of Lord Kelvin (Sir William Thomson) on the 19th century theory of vortex atoms, reprints of modern papers on knotted flux in physics and in fluid dynamics and knotted wormholes in general relativity. It also includes papers on Witten's approach to knots via quantum field theory and applications of this approach to quantum gravity and the Ising model in three dimensions. Other papers discuss the topology of RNA folding in relation to invariants of graphs and Vassiliev invariants, the entanglement structures of polymers, the synthesis of molecular Mobius strips and knotted molecules. The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume will be of immense interest to all workers interested in new possibilities in the uses of knots and knot theory.

Knots And Physics

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Author : Louis H Kauffman
language : en
Publisher: World Scientific
Release Date : 1991-06-25

Knots And Physics written by Louis H Kauffman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-25 with categories.

This book is an introductory explication on the theme of knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process. The demands of the knot theory, coupled with a quantum statistical frame work create a context that naturally and powerfully includes an extraordinary range of interelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward the knot theory and its relations with these subjects. This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related with and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics, knots in dynamical systems.