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Noncommutative Spacetimes

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Noncommutative Spacetimes

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Author : Paolo Aschieri
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-14

Noncommutative Spacetimes written by Paolo Aschieri 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 2009-07-14 with Mathematics categories.

There are many approaches to noncommutative geometry and to its use in physics. This volume addresses the subject by combining the deformation quantization approach, based on the notion of star-product, and the deformed quantum symmetries methods, based on the theory of quantum groups. The aim of this work is to give an introduction to this topic and to prepare the reader to enter the research field quickly. The order of the chapters is "physics first": the mathematics follows from the physical motivations (e.g. gauge field theories) in order to strengthen the physical intuition. The new mathematical tools, in turn, are used to explore further physical insights. A last chapter has been added to briefly trace Julius Wess' (1934-2007) seminal work in the field.

2001 A Relativistic Spacetime Odyssey

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Author : Ignazio Ciufolini
language : en
Publisher: World Scientific
Release Date : 2003

2001 A Relativistic Spacetime Odyssey written by Ignazio Ciufolini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.

This volume offers a comprehensive overview of our understanding of gravity at both the experimental and the theoretical level. Critical reviews by experts cover topics ranging from astrophysics (anisotropies in the cosmic microwave background, gamma ray bursts, neutron stars and astroparticles), cosmology, the status of gravitational wave sources and detectors, verification of Newton's law at short distances, the equivalence principle, gravito-magnetism, measurement theory, time machines and the foundations of Einstein's theory, to string theory and loop quantum gravity.

Deformations Of Spacetime Symmetries

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Author : Michele Arzano
language : en
Publisher: Springer Nature
Release Date : 2021-06-14

Deformations Of Spacetime Symmetries written by Michele Arzano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-14 with Science categories.

This monograph provides an introduction to deformations of Poincaré symmetries focusing on models with a Lie group momentum space and associated non-commutative space-times. The emphasis is put on the emergence of such structures from quantum gravity, their mathematical features described in terms of Hopf algebras and applications to particle kinematics and field theory. Part I of this work focuses on the link between gravity and deformed symmetries in the case of 2+1 and 3+1 space-time dimensions. Part II is devoted to the description of classical particles with group valued momenta, their phase spaces and kinematics. The last part of these notes provides an introduction to the basic features of classical and quantum field theory on κ-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincaré symmetry. The text, being the first providing a detailed overview of these topics, is primarily intended for researchers and graduate students interested in non-commutative field theories and quantum gravity phenomenology.

An Anthology Of Non Local Qft And Qft On Noncommutative Spacetime

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Author : Bert Schroer
language : en
Publisher:
Release Date : 2004

An Anthology Of Non Local Qft And Qft On Noncommutative Spacetime written by Bert Schroer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Quantum field theory categories.

Noncommutative Spacetimes

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Author : Paolo Aschieri
language : en
Publisher: Springer
Release Date : 2009-08-29

Noncommutative Spacetimes written by Paolo Aschieri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Science categories.

There are many approaches to noncommutative geometry and its use in physics, the ? operator algebra and C -algebra one, the deformation quantization one, the qu- tum group one, and the matrix algebra/fuzzy geometry one. This volume introduces and develops the subject by presenting in particular the ideas and methods recently pursued by Julius Wess and his group. These methods combine the deformation quantization approach based on the - tion of star product and the deformed (quantum) symmetries methods based on the theory of quantum groups. The merging of these two techniques has proven very fruitful in order to formulate ?eld theories on noncommutative spaces. The aim of the book is to give an introduction to these topics and to prepare the reader to enter the research ?eld himself/herself. This has developed from the constant interest of Prof. W. Beiglboeck, editor of LNP, in this project, and from the authors experience in conferences and schools on the subject, especially from their interaction with students and young researchers. In fact quite a few chapters in the book were written with a double purpose, on the one hand as contributions for school or conference proceedings and on the other handaschaptersforthepresentbook.Thesearenowharmonizedandcomplemented by a couple of contributions that have been written to provide a wider background, to widen the scope, and to underline the power of our methods.

Spectral Action In Noncommutative Geometry

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Author : Michał Eckstein
language : en
Publisher: Springer
Release Date : 2018-12-18

Spectral Action In Noncommutative Geometry written by Michał Eckstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-18 with Science categories.

What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes, deliberately unveiling the answers to these questions. After a brief preface flashing the panorama of the spectral approach, a concise primer on spectral triples is given. Chapter 2 is designed to serve as a toolkit for computations. The third chapter offers an in-depth view into the subtle links between the asymptotic expansions of traces of heat operators and meromorphic extensions of the associated spectral zeta functions. Chapter 4 studies the behaviour of the spectral action under fluctuations by gauge potentials. A subjective list of open problems in the field is spelled out in the fifth Chapter. The book concludes with an appendix including some auxiliary tools from geometry and analysis, along with examples of spectral geometries. The book serves both as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts.

2001 A Relativistic Spacetime Odyssey Experiments And Theoretical Viewpoints On General Relativity And Quantum Gravity Proceedings Of The 25th Johns Hopkins Workshop On Current Problems In Particle Theory

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Author : Ignazio Ciufolini
language : en
Publisher: World Scientific
Release Date : 2003-01-16

2001 A Relativistic Spacetime Odyssey Experiments And Theoretical Viewpoints On General Relativity And Quantum Gravity Proceedings Of The 25th Johns Hopkins Workshop On Current Problems In Particle Theory written by Ignazio Ciufolini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-16 with Science categories.

Tenth Marcel Grossmann Meeting The On Recent Developments In Theoretical Experimental General Relativity Gravitation Relativistic Field Theories In 3 Vols Procs Of The Mgio Meeting Held At Brazilian Ctr For Res In Phys Cbpf

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Author : Mario Novello
language : en
Publisher: World Scientific
Release Date : 2006-02-17

Tenth Marcel Grossmann Meeting The On Recent Developments In Theoretical Experimental General Relativity Gravitation Relativistic Field Theories In 3 Vols Procs Of The Mgio Meeting Held At Brazilian Ctr For Res In Phys Cbpf written by Mario Novello and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-17 with Science categories.

The Marcel Grossmann meetings were conceived to promote theoretical understanding in the fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. They review recent developments in gravitation and general relativity, with major emphasis on mathematical foundations and physical predictions. Their main objective is to bring together scientists from diverse backgrounds and their range of topics is broad, from more abstract classical theory and quantum gravity and strings to more concrete relativistic astrophysics observations and modeling.This Tenth Marcel Grossmann Meeting was organized by an international committee composed of D Blair, Y Choquet-Bruhat, D Christodoulou, T Damour, J Ehlers, F Everitt, Fang Li Zhi, S Hawking, Y Ne'eman, R Ruffini (chair), H Sato, R Sunyaev, and S Weinberg and backed by an international coordinating committee of about 135 members from scientific institutions representing 54 countries. The scientific program included 29 morning plenary talks during 6 days, and 57 parallel sessions over five afternoons, during which roughly 500 papers were presented.These three volumes of the proceedings of MG10 give a broad view of all aspects of gravitation, from mathematical issues to recent observations and experiments.

The Tenth Marcel Grossmann Meeting

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Author : M. Novello
language : en
Publisher: World Scientific
Release Date : 2005

The Tenth Marcel Grossmann Meeting written by M. Novello and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.

The De Sitter Ds Group And Its Representations

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Author : Mohammad Enayati
language : en
Publisher: Springer Nature
Release Date : 2024-04-29

The De Sitter Ds Group And Its Representations written by Mohammad Enayati and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-29 with Science categories.

This Second Edition is a comprehensive update, integrating the latest research and theoretical advancements in the field of de Sitter (dS) group representations. Building on the success of the first edition, the book offers a more in-depth analysis of mathematical aspects, conceptual foundations, and practical implications related to the dS group, including its Lie manifold, Lie algebra, and co-adjoint orbits, viewing the latter as potential classical elementary systems within the context of dS spacetime. Additionally, the examination of unitary irreducible representations (UIRs) sheds light on the potential existence of quantum elementary systems within the dS spacetime framework. The authors emphasize consistency with Wigner's approach to elementary systems, incorporate Wigner's principles and exploring projective UIRs of the dS group, and provide a deeper insight into the nature of dS elementary systems. Particular attention is paid to: the “smooth” transition from classical to quantum theory, the physical content under vanishing curvature, and the thermal interpretation from a quantum perspective. The book also focuses on the physical interpretation of elementary systems in curved spacetimes, recognizing the limitations of traditional concepts derived from flat Minkowski spacetime and the Poincaré group.

Noncommutative Spacetimes

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