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Modern Mathematical Models Of Time And Their Applications To Physics And Cosmology
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Book Synopsis Modern Mathematical Models of Time and their Applications to Physics and Cosmology by : W.G. Tifft
Download or read book Modern Mathematical Models of Time and their Applications to Physics and Cosmology written by W.G. Tifft and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nature of time has long puzzled physicists and philosophers. Time potentially has very fundamental yet unknown properties. In 1993 a new model of multi-dimensional time was found to relate closely to properties of the cosmological redshift. An international conference was subsequently convened in April 1996 to examine past, current and new concepts of time as they relate to physics and cosmology. These proceedings incorporate 34 reviews and contributed papers from the conference. The major reviews include observational properties of the redshift, alternative cosmologies, critical problems in cosmology, alternative viewpoints and problems in gravitation theory and particle physics, and new approaches to mathematical models of time. Professionals and students with an interest in cosmology and the structure of the universe will find that this book raises critical problems and explores challenging alternatives to classical viewpoints.
Book Synopsis Thinking About Space and Time by : Claus Beisbart
Download or read book Thinking About Space and Time written by Claus Beisbart and published by Springer Nature. This book was released on 2020-09-25 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an integrated understanding of how the theory of general relativity gained momentum after Einstein had formulated it in 1915. Chapters focus on the early reception of the theory in physics and philosophy and on the systematic questions that emerged shortly after Einstein's momentous discovery. They are written by physicists, historians of science, and philosophers, and were originally presented at the conference titled Thinking About Space and Time: 100 Years of Applying and Interpreting General Relativity, held at the University of Bern from September 12-14, 2017. By establishing the historical context first, and then moving into more philosophical chapters, this volume will provide readers with a more complete understanding of early applications of general relativity (e.g., to cosmology) and of related philosophical issues. Because the chapters are often cross-disciplinary, they cover a wide variety of topics related to the general theory of relativity. These include: Heuristics used in the discovery of general relativity Mach's Principle The structure of Einstein's theory Cosmology and the Einstein world Stability of cosmological models The metaphysical nature of spacetime The relationship between spacetime and dynamics The Geodesic Principle Symmetries Thinking About Space and Time will be a valuable resource for historians of science and philosophers who seek a deeper knowledge of the (early and later) uses of general relativity, as well as for physicists and mathematicians interested in exploring the wider historical and philosophical context of Einstein's theory.
Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Model-Based Reasoning in Science and Technology by : Lorenzo Magnani
Download or read book Model-Based Reasoning in Science and Technology written by Lorenzo Magnani and published by Springer. This book was released on 2016-07-01 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses how scientific and other types of cognition make use of models, abduction, and explanatory reasoning in order to produce important or creative changes in theories and concepts. It includes revised contributions presented during the international conference on Model-Based Reasoning (MBR’015), held on June 25-27 in Sestri Levante, Italy. The book is divided into three main parts, the first of which focuses on models, reasoning and representation. It highlights key theoretical concepts from an applied perspective, addressing issues concerning information visualization, experimental methods and design. The second part goes a step further, examining abduction, problem solving and reasoning. The respective contributions analyze different types of reasoning, discussing various concepts of inference and creativity and their relationship with experimental data. In turn, the third part reports on a number of historical, epistemological and technological issues. By analyzing possible contradictions in modern research and describing representative case studies in experimental research, this part aims at fostering new discussions and stimulating new ideas. All in all, the book provides researchers and graduate students in the field of applied philosophy, epistemology, cognitive science and artificial intelligence alike with an authoritative snapshot of current theories and applications of model-based reasoning.
Book Synopsis Gravitation and Cosmology: From the Hubble Radius to the Planck Scale by : Richard L. Amoroso
Download or read book Gravitation and Cosmology: From the Hubble Radius to the Planck Scale written by Richard L. Amoroso and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jean-Pierre Vigier continually labeled one of les heretiques de la science, l’eternel resistant et le patriarche is yet a pillar of modern physics and mathematics, with one leg firmly planted in theory and the other in empiricism spanning a career of nearly 60 years with a publication vitae quickly approaching 400! He wrote of his mentor Louis de Broglie “Great physicists fight great battles”, which perhaps applies even more so to 1 Jean-Pierre Vigier himself . If fortune allows a visit to Paris, reported to be the city of love, and certainly one of the most beautiful and interesting cities in the world; one has been treated to a visual and cultural feast. For example a leisurely stroll from the Musee du Louvre along the Champs-Elysees to the Arc de Triomphe would instill even the least creative soul with the entelechies of a poets muse. It is perhaps open to theoretical interpretation, but if causal conditions have allowed one to be a physicist, visiting Paris, one may have taken opportunity to visit the portion of the old Latin quarter in place Jussieu where Pierre et Marie Curie Universite, reported to be ‘the best university in France’, is stationed.
Book Synopsis Direction of Time by : Sergio Albeverio
Download or read book Direction of Time written by Sergio Albeverio and published by Springer Science & Business Media. This book was released on 2013-12-09 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book presents the problems of time and direction from an interdisciplinary point of view, concentrating in particular on the following relations: • Time and physics • Time, philosophy and psychology • Time, mathematics and information theory It is a unique contribution by philosophers and scientists who are active in mathematics, physics, biology, engineering, information theory and psychology. Questions such as the existence of a Big Bang, the neurobiological basis regarding the coexistence of free will and determinism, intercultural aspects of time, mathematical models of time, psychopathological features of time, and micro reversibility versus macroscopic irreversibility are studied. It also provides a truly interdisciplinary study of the problematic 'arrow of time'.
Book Synopsis The Eleventh Marcel Grossmann Meeting by :
Download or read book The Eleventh Marcel Grossmann Meeting written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Action Principle and Evolution by : Nubar Sarafyan
Download or read book The Action Principle and Evolution written by Nubar Sarafyan and published by Dorrance Publishing. This book was released on 2009-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamical Systems and Cosmology by : A.A. Coley
Download or read book Dynamical Systems and Cosmology written by A.A. Coley and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations. In this book we discuss cosmological models as dynamical systems, with particular emphasis on applications in the early Universe. We point out the important role of self-similar models. We review the asymptotic properties of spatially homogeneous perfect fluid models in general relativity. We then discuss results concerning scalar field models with an exponential potential (both with and without barotropic matter). Finally, we discuss the dynamical properties of cosmological models derived from the string effective action. This book is a valuable source for all graduate students and professional astronomers who are interested in modern developments in cosmology.
Book Synopsis Mathematical Cosmology by : Peter Theodore Landsberg
Download or read book Mathematical Cosmology written by Peter Theodore Landsberg and published by Oxford University Press, USA. This book was released on 1979 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Mechanics and Gravity by : Mendel Sachs
Download or read book Quantum Mechanics and Gravity written by Mendel Sachs and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a paradigm change in modern physics from the philosophy and mathematical expression of the quantum theory to those of general relativity. The approach applies to all domains - from elementary particles to cosmology. The change is from the positivistic views in which atomism, nondeterminism and measurement are fundamental, to a holistic view in realism, wherein matter - electrons, galaxies, - are correlated modes of a single continuum, the universe. A field that unifies electromagnetism, gravity and inertia is demonstrated explicitly, with new predictions, in terms of quaternion and spinor field equations in a curved spacetime. Quantum mechanics emerges as a linear, flatspace approximation for the equations of inertia in general relativity.
Book Synopsis Einstein's General Theory of Relativity by : Øyvind Grøn
Download or read book Einstein's General Theory of Relativity written by Øyvind Grøn and published by Springer Science & Business Media. This book was released on 2007-05-04 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.
Book Synopsis Physics for Mathematicians by : Michael Spivak
Download or read book Physics for Mathematicians written by Michael Spivak and published by . This book was released on 2010 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Modern Cosmology by : Andrew Liddle
Download or read book An Introduction to Modern Cosmology written by Andrew Liddle and published by John Wiley & Sons. This book was released on 2015-03-09 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Modern Cosmology Third Edition is an accessible account of modern cosmological ideas. The Big Bang Cosmology is explored, looking at its observational successes in explaining the expansion of the Universe, the existence and properties of the cosmic microwave background, and the origin of light elements in the universe. Properties of the very early Universe are also covered, including the motivation for a rapid period of expansion known as cosmological inflation. The third edition brings this established undergraduate textbook up-to-date with the rapidly evolving observational situation. This fully revised edition of a bestseller takes an approach which is grounded in physics with a logical flow of chapters leading the reader from basic ideas of the expansion described by the Friedman equations to some of the more advanced ideas about the early universe. It also incorporates up-to-date results from the Planck mission, which imaged the anisotropies of the Cosmic Microwave Background radiation over the whole sky. The Advanced Topic sections present subjects with more detailed mathematical approaches to give greater depth to discussions. Student problems with hints for solving them and numerical answers are embedded in the chapters to facilitate the reader’s understanding and learning. Cosmology is now part of the core in many degree programs. This current, clear and concise introductory text is relevant to a wide range of astronomy programs worldwide and is essential reading for undergraduates and Masters students, as well as anyone starting research in cosmology. The accompanying website for this text, http://booksupport.wiley.com, provides additional material designed to enhance your learning, as well as errata within the text.
Book Synopsis Exotic Smoothness and Physics by : Torsten Asselmeyer-Maluga
Download or read book Exotic Smoothness and Physics written by Torsten Asselmeyer-Maluga and published by World Scientific. This book was released on 2007 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The recent revolution in differential topology related to the discovery of non-standard (OC exoticOCO) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit OCo but now shown to be incorrect OCo assumption that differentiability is uniquely determined by topology for simple four-manifolds. Since diffeomorphisms are the mathematical models for physical coordinate transformations, EinsteinOCOs relativity principle requires that these models be physically inequivalent. This book provides an introductory survey of some of the relevant mathematics and presents preliminary results and suggestions for further applications to spacetime models."
Book Synopsis Studies on the structure of time by : R. Buccheri
Download or read book Studies on the structure of time written by R. Buccheri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every human being is aware of the flow of time. This fact is embodied in the existence of such notions as the past and the future, the two domains being separated from each other by the single moment of the present. While the past is regarded as fixed and definite, the future is viewed as unknown, uncertain, and undetermined. The only perceivable moment is the present, the `now' - the ever-changing point moving from the past into the future. Physics tells us a different story: not only are the vast majority of physical laws time-reversible, but the concept of the `now' itself has no place at all in physics. In other words, the equations of physics do not distinguish between the past and the future and seem to be completely oblivious to the very idea of the present. This book discusses the biological and psychological aspects of perception of time, and the problems related to the determination of location arising from quantum physics, together with comments and opinions from philosophers and physicists.
Book Synopsis Theoretical Foundations of Cosmology by : Michael Heller
Download or read book Theoretical Foundations of Cosmology written by Michael Heller and published by World Scientific. This book was released on 1992-04-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book's principal aim is to clarify fundamental concepts, decipher mathematical structures used to model space-time and relativistic worlds, and to disclose their physical meaning. After each chapter, philosophical implications of the presented material are commented upon. Both special and general theories of relativity are presented in the book with the stress on their global aspects. Although global mathematical methods are extensively used throughout the book, the definitions of new concepts, short comments and examples make reading smooth without the need to consult other textbooks or review papers. Contents:Manifold Model of Space-TimeRelativistic Model of Space-TimeMethod of Fibre BundlesThe Frame Bundle and General RelativityThe Cosmological ProblemGeometry of the Standard Cosmological ModelBibliographical EssayAppendix. Evolution of Dynamical Space-Time TheoriesReferencesSymbol IndexAuthor and Subject Index Readership: Cosmologists, astronomers and theoretical physicists. keywords:Cosmology;Universe;Standard Cosmological Model;Space-Time;General Relativity;Special Relativity;Geometry of Space-Time;Differential Geometry;Fibre Bundles;Methodological Questions of Cosmology;Philosophy of Cosmology
