Quantum Geometry Matrix Theory And Gravity

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Quantum Geometry Matrix Theory And Gravity

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Author : Harold C. Steinacker
language : en
Publisher: Cambridge University Press
Release Date : 2024-04-11

Quantum Geometry Matrix Theory And Gravity written by Harold C. Steinacker 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 2024-04-11 with Science categories.

Building on mathematical structures familiar from quantum mechanics, this book provides an introduction to quantization in a broad context before developing a framework for quantum geometry in Matrix Theory and string theory. Taking a physics-oriented approach to quantum geometry, this framework helps explain the physics of Yang–Mills-type matrix models, leading to a quantum theory of space-time and matter. This novel framework is then applied to Matrix Theory, which is defined through distinguished maximally supersymmetric matrix models related to string theory. A mechanism for gravity is discussed in depth, which emerges as a quantum effect on quantum space-time within Matrix Theory. Using explicit examples and exercises, readers will develop a physical intuition for the mathematical concepts and mechanisms. It will benefit advanced students and researchers in theoretical and mathematical physics, and is a useful resource for physicists and mathematicians interested in the geometrical aspects of quantization in a broader context.

Quantum Geometry

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Author : Jan Ambjørn
language : en
Publisher: Cambridge University Press
Release Date : 1997-06-19

Quantum Geometry written by Jan Ambjørn 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 1997-06-19 with Science categories.

Describes random geometry and applications to strings, quantum gravity, topological field theory and membrane physics.

M Theory And Quantum Geometry

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Author : Lárus Thorlacius
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

M Theory And Quantum Geometry written by Lárus Thorlacius and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

The fundamental structure of matter and spacetime at the shortest length scales remains an exciting frontier of basic research in theoretical physics. A unifying theme in this area is the quantization of geometrical objects. The majority of lectures at the Advanced Study Institute on Quantum Ge ometry in Akureyri was on recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary par ticles and interactions. The geometric concept of one-dimensional extended objects, or strings, has always been at the core of superstring theory but in recent years the focus has shifted to include also higher-dimensional ob jects, so called D-branes, which play a key role in the non-perturbative dynamics of the theory. A related development has seen the strong coupling regime of a given string theory identified with the weak coupling regime of what was previ ously believed to be a different theory, and a web of such" dualities" that interrelates all known superstring theories has emerged. The resulting uni fied theoretical framework, termed M-theory, has evolved at a rapid pace in recent years.

Strings Branes And Gravity

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Author : Jeffrey Harvey
language : en
Publisher: World Scientific
Release Date : 2001

Strings Branes And Gravity written by Jeffrey Harvey 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 Science categories.

Many of the topics in this book are outgrowths of the spectacular new understanding of duality in string theory which emerged around 1995. They include the AdS/CFT correspondence and its relation to holography, the matrix theory formulation of M theory, the structure of black holes in string theory, the structure of D-branes and M-branes, and detailed development of dualities with N = 1 and N = 2 supersymmetry. In addition, there are lectures covering experimental and phenomenological aspects of the Standard Model and its extensions, and discussions on cosmology including both theoretical aspects and the exciting new experimental evidence for a non-zero cosmological constant. Contents: TASI Lectures on Branes, Black Holes and Anti-De Sitter Space (M J Duff); D-Brane Primer (C V Johnson); TASI Lectures on Black Holes in String Theory (A W Peet); TASI Lectures: Cosmology for String Theorists (S M Carroll); TASI Lectures on Matrix Theory (T Banks); TASI Lectures on M Theory Phenomenology (M Dine); TASI Lectures: Introduction to the AdS/CFT Correspondence (I R Klebanov); TASI Lectures on Compactification and Duality (D R Morrison); Compactification, Geometry and Duality: N =2 (P S Aspinwall); TASI Lectures on Non-BPS D-Brane Systems (J H Schwarz); Lectures on Warped Compactifications and Stringy Brane Constructions (S Kachru); TASI Lectures on the Holographic Principle (D Bigatti & L Susskind). Readership: Graduate students, postdoctoral fellows and researchers in high energy physics.

Approaches To Quantum Gravity

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Author : Daniele Oriti
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-05

Approaches To Quantum Gravity written by Daniele Oriti 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 2009-03-05 with Science categories.

Containing contributions from leading researchers in this field, this book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers. It introduces the most current approaches to this problem, and reviews their main achievements.

Sidney Coleman S Lectures On Relativity

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Author : David J. Griffiths
language : en
Publisher: Cambridge University Press
Release Date : 2022-01-13

Sidney Coleman S Lectures On Relativity written by David J. Griffiths 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 2022-01-13 with Science categories.

Sidney Coleman (1937–2007) earned his doctorate at Caltech under Murray Gell-Mann. Before completing his thesis, he was hired by Harvard and remained there his entire career. A celebrated particle theorist, he is perhaps best known for his brilliant lectures, given at Harvard and in a series of summer school courses at Erice, Sicily. Three times in the 1960s he taught a graduate course on Special and General Relativity; this book is based on lecture notes taken by three of his students and compiled by the Editors.

Quantum Gravity

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Author : Carlo Rovelli
language : en
Publisher: Cambridge University Press
Release Date : 2007-11-29

Quantum Gravity written by Carlo Rovelli 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 2007-11-29 with Science categories.

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.

A First Course In General Relativity

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Author : Bernard Schutz
language : en
Publisher: Cambridge University Press
Release Date : 2009-05-14

A First Course In General Relativity written by Bernard Schutz 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 2009-05-14 with Science categories.

Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

Library Of Congress Subject Headings

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Author : Library of Congress
language : en
Publisher:
Release Date : 2013

Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Subject headings, Library of Congress categories.

Library Of Congress Subject Headings

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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009

Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.