Noncommutative Cosmology

Author : Marcolli Matilde
Publisher : World Scientific
ISBN 13 : 9813202866
Total Pages : 292 pages
Book Rating : 4.63/5 ( download)

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Download or read book Noncommutative Cosmology written by Marcolli Matilde and published by World Scientific. This book was released on 2017-12-26 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modified gravity models play an important role in contemporary theoretical cosmology. The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. The book discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology. Relations between noncommutative and algebro-geometric methods in cosmology is also discussed, including the occurrence of motives, periods, and modular forms in spectral models of gravity. Contents: PrefaceAcknowledgmentsGravity and Matter in Noncommutative GeometryRenormalization Group Flows and Early Universe ModelsCosmic TopologyAlgebro-geometric Models in CosmologyMixmaster CosmologiesThe Spectral Action on Bianchi IX CosmologiesFractal and Multifractal Structures in CosmologyNoncommutative Quantum CosmologyBibliography Readership: Graduate students and researchers in mathematical physics and theoretical cosmology. Keywords: Cosmology;Gravity;Particle Physics;GeometryReview: Key Features: While there are recent books that focus on applications of noncommutative geometry to particle physics models, there is presently no other book that focuses on applications to cosmology

Author : S. Duplij
Publisher : Springer Science & Business Media
ISBN 13 : 9401008361
Total Pages : 472 pages
Book Rating : 4.65/5 ( download)

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Download or read book Noncommutative Structures in Mathematics and Physics written by S. Duplij and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics.

Author : Kotani Motoko
Publisher : World Scientific
ISBN 13 : 9813144629
Total Pages : 412 pages
Book Rating : 4.20/5 ( download)

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Download or read book Noncommutative Geometry And Physics 4 - Workshop On Strings, Membranes And Topological Field Theory written by Kotani Motoko and published by World Scientific. This book was released on 2017-03-16 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of the lectures and talks presented in the Tohoku Forum for Creativity in the thematic year 2015 "Fundamental Problems in Quantum Physics: Strings, Black Holes and Quantum Information", and related events in the period 2014–2016. This volume especially contains an overview of recent developments in the theory of strings and membranes, as well as topological field theory.

Author : Abraao Jesse Capistrano
Publisher : BoD – Books on Demand
ISBN 13 : 9535132091
Total Pages : 226 pages
Book Rating : 4.97/5 ( download)

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Download or read book Trends in Modern Cosmology written by Abraao Jesse Capistrano and published by BoD – Books on Demand. This book was released on 2017-06-07 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern cosmology has been turned into an outstanding field of active research through the years. Today, we have more scientific data in modern cosmology than we could get rid of it, which makes the present days an exciting era for scientific knowledge. "Trends in Modern Cosmology" invites the reader to tackle the big questions of the universe from cultural aspects of cosmology and its influence on arts, philosophy, and politics to more specialized technical advances in the field as the physics of dark sector, black holes, galaxies, large structure formation, and particles. In fact, it reveals our endless searching for the better understanding of the universe as a legacy of knowledge for next generations.

Author : Yoshiaki Maeda
Publisher : Springer Science & Business Media
ISBN 13 : 9401007047
Total Pages : 310 pages
Book Rating : 4.47/5 ( download)

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Download or read book Noncommutative Differential Geometry and Its Applications to Physics written by Yoshiaki Maeda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of foliations, where it led to striking extensions of Atiyah-Singer index theory. It also may be applicable to hitherto unsolved geometric phenomena and physical experiments. However, noncommutative differential geometry was not well understood even among mathematicians. Therefore, an international symposium on commutative differential geometry and its applications to physics was held in Japan, in July 1999. Topics covered included: deformation problems, Poisson groupoids, operad theory, quantization problems, and D-branes. The meeting was attended by both mathematicians and physicists, which resulted in interesting discussions. This volume contains the refereed proceedings of this symposium. Providing a state of the art overview of research in these topics, this book is suitable as a source book for a seminar in noncommutative geometry and physics.

Author : Michał Eckstein
Publisher : Springer
ISBN 13 : 3319947885
Total Pages : 155 pages
Book Rating : 4.84/5 ( download)

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Download or read book Spectral Action in Noncommutative Geometry written by Michał Eckstein and published by Springer. This book was released on 2018-12-18 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Bogdan Mielnik
Publisher : World Scientific
ISBN 13 : 9814476900
Total Pages : 526 pages
Book Rating : 4.04/5 ( download)

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Download or read book Topics In Mathematical Physics General Relativity And Cosmology In Honor Of Jerzy Plebanski - Proceedings Of 2002 International Conference written by Bogdan Mielnik and published by World Scientific. This book was released on 2006-08-10 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles — resembling monk's calligraphy — as well as a collection of oil paintings.As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the “heavenly” and “hyper-heavenly” equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al.A tribute to Plebański's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.

Author : Antonio Alfonso-Faus
Publisher : BoD – Books on Demand
ISBN 13 : 9533076267
Total Pages : 411 pages
Book Rating : 4.63/5 ( download)

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Download or read book Aspects of Today's Cosmology written by Antonio Alfonso-Faus and published by BoD – Books on Demand. This book was released on 2011-09-09 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some aspects of the cosmological scientific odyssey that started last century. The chapters vary with different particular works, giving a versatile picture. It is the result of the work of many scientists in the field of cosmology, in accordance with their expertise and particular interests. Is a collection of different research papers produced by important scientists in the field of cosmology. A sample of the great deal of efforts made by the scientific community, trying to understand our universe. And it has many challenging subjects, like the possible doomsday to be confirmed by the next decade of experimentation. May be we are now half way in the life of the universe. Many more challenging subjects are not present here: they will be the result of further future work. Among them, we have the possibility of cyclic universes, and the evidence for the existence of a previous universe.

Author : Jürgen Fuchs
Publisher : American Mathematical Soc.
ISBN 13 : 0821837184
Total Pages : 402 pages
Book Rating : 4.84/5 ( download)

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Download or read book Noncommutative Geometry and Representation Theory in Mathematical Physics written by Jürgen Fuchs and published by American Mathematical Soc.. This book was released on 2005 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics provides a language in which to formulate the laws that govern nature. It is a language proven to be both powerful and effective. In the quest for a deeper understanding of the fundamental laws of physics, one is led to theories that are increasingly difficult to put to the test. In recent years, many novel questions have emerged in mathematical physics, particularly in quantum field theory. Indeed, several areas of mathematics have lately become increasingly influentialin physics and, in turn, have become influenced by developments in physics. Over the last two decades, interactions between mathematicians and physicists have increased enormously and have resulted in a fruitful cross-fertilization of the two communities. This volume contains the plenary talks fromthe international symposium on Noncommutative Geometry and Representation Theory in Mathematical Physics held at Karlstad University (Sweden) as a satellite conference to the Fourth European Congress of Mathematics. The scope of the volume is large and its content is relevant to various scientific communities interested in noncommutative geometry and representation theory. It offers a comprehensive view of the state of affairs for these two branches of mathematical physics. The book is suitablefor graduate students and researchers interested in mathematical physics.

Author : Josip Trampetic
Publisher : Springer Science & Business Media
ISBN 13 : 3540007113
Total Pages : 568 pages
Book Rating : 4.11/5 ( download)

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Download or read book Particle Physics in the New Millennium written by Josip Trampetic and published by Springer Science & Business Media. This book was released on 2003-05-21 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The traditional purpose of the Adriatic Meeting is to present most advanced scienti?c research conducted by the lecturers who take part in the development of their ?elds and, in addition, to provide a school-like atmosphere for young scientists. Dubrovnik, as a geographical centre of this region of Europe, provided a most adequate location for this conference. Having very agreeable surroundings, the conference site nevertheless gave a focus for very strong scienti?c interaction. The subjects chosen for the 8th meeting, in September 2001, were gauge theories, particle phenomenology, string theories and cosmology. We were able to bring together a very good cross section of outstanding scientists who gave extraorinarily good presentations. Certainely one reason for this success is that most of us feel obliged to help the scienti?c life in South East Europe return to its former level. However, there are very exciting new scienti?c developments as well. Part of the meeting was dominated by neutrino physics which has just seen exciting progress by establishing neutrino masses experimentally. This was d- cussed within neutrino masses and grand uni?ed theories (GUTs). General - pects of neutrino physics and CP violation, neutrino mixing and the bayron asymmetry were presented along the same lines. On the theoretical side the idea of the construction of gauge theories on non-commutative spaces and their phenomenological implications is accepted worldwide within the particle physics community.