Symmetry Structure And Spacetime
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| Author | : Dean Rickles |
| Publisher | : Elsevier |
| Total Pages | : 243 |
| Release | : 2008 |
| Genre | : Science |
| ISBN | : 0444531165 |
In this book Rickles considers several interpretative difficulties raised by gauge-type symmetries (those that correspond to no change in physical state). The ubiquity of such symmetries in modern physics renders them an urgent topic in philosophy of physics. Rickles focuses on spacetime physics, and in particular classical and quantum general relativity. Here the problems posed are at their most pathological, involving the apparent disappearance of spacetime! Rickles argues that both traditional ontological positions should be replaced by a structuralist account according to which relational structure is what the physics is about. · Unified treatment of gauge symmetries and their relationship to ontology in physics · Brings philosophy of space and time into step with developments in modern physics · Argues against the received view on the implications of symmetries in physics · Provides elementary treatments of technical issues · Illustrates a novel defense of structuralism
| Author | : Dean Rickles |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2008 |
| Genre | : |
| ISBN | : 9780444560902 |
| Author | : Giovanni Costa |
| Publisher | : Springer |
| Total Pages | : 300 |
| Release | : 2012-02-03 |
| Genre | : Science |
| ISBN | : 3642154824 |
Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.
| Author | : Tiziana Vistarini |
| Publisher | : Routledge |
| Total Pages | : 241 |
| Release | : 2019-06-12 |
| Genre | : Philosophy |
| ISBN | : 1134842406 |
The nature of space and time is one of the most fascinating and fundamental philosophical issues which presently engages at the deepest level with physics. During the last thirty years this notion has been object of an intense critical review in the light of new scientific theories which try to combine the principles of both general relativity and quantum theory—called theories of quantum gravity. This book considers the way string theory shapes its own account of spacetime disappearance from the fundamental level.
| Author | : Graham S Hall |
| Publisher | : World Scientific |
| Total Pages | : 443 |
| Release | : 2004-04-27 |
| Genre | : Science |
| ISBN | : 9814505315 |
This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.
| Author | : S. W. Hawking |
| Publisher | : Cambridge University Press |
| Total Pages | : 406 |
| Release | : 1975-02-27 |
| Genre | : Science |
| ISBN | : 1139810952 |
Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.
| Author | : Fernando de Felice |
| Publisher | : Cambridge University Press |
| Total Pages | : 326 |
| Release | : 2010-07-29 |
| Genre | : Science |
| ISBN | : 1139491598 |
The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.
| Author | : James B. Glattfelder |
| Publisher | : Springer |
| Total Pages | : 673 |
| Release | : 2019-04-10 |
| Genre | : Science |
| ISBN | : 3030036332 |
This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be information-theoretic and participatory, yielding a computational and programmable universe.
| Author | : Jakob Schwichtenberg |
| Publisher | : Springer |
| Total Pages | : 294 |
| Release | : 2017-12-01 |
| Genre | : Science |
| ISBN | : 3319666312 |
This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.
| Author | : Katherine Brading |
| Publisher | : Cambridge University Press |
| Total Pages | : 459 |
| Release | : 2003-12-04 |
| Genre | : Science |
| ISBN | : 1139442023 |
This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.
