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Geometrodynamics
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Book Synopsis Geometrodynamics of Gauge Fields by : Eckehard W. Mielke
Download or read book Geometrodynamics of Gauge Fields written by Eckehard W. Mielke and published by Springer. This book was released on 2017-01-22 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.
Book Synopsis Introduction to the Anisotropic Geometrodynamics by : Sergey Siparov
Download or read book Introduction to the Anisotropic Geometrodynamics written by Sergey Siparov and published by World Scientific. This book was released on 2012 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Classical relativity : scope and beyond. 1.1. Physics and mathematics : long joint journey. 1.2. Inertial motion, relativity, special relativity. 1.3. Space-time as a model of the physical world. 1.4. Generalized theory of relativity and gravitation. 1.5. GRT - first approximation - predictions and tests. 1.6. Exact solutions. 1.7. Observations on the cosmological scale -- 2. Phase space-time as a model of physical reality. 2.1. Preliminary considerations. 2.2. Interpretation dilemma, variation principle, equivalence principle. 2.3. Construction of the formalism. 2.4. Gravitation force in anisotropic geometrodynamics. 2.5. Model of the gravitation source and its applications. 2.6. Electrodynamics in anisotropic space. 2.7. Approaching phase space-time. 2.8. Cosmological picture -- 3. Optic-metrical parametric resonance - to the testing of the anisotropic geometrodynamics. 3.1. Gravitation waves detection and the general idea of opticmetrical parametric resonance. 3.2. OMPR in space maser. 3.3. Astrophysical systems. 3.4. Observations and interpretations. 3.5. On the search for the space-time anisotropy in Milky Way observations
Book Synopsis Geometrodynamics by : John Archibald Wheeler
Download or read book Geometrodynamics written by John Archibald Wheeler and published by . This book was released on 1962 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Geometrodynamics by : Matti Pitkanen
Download or read book Topological Geometrodynamics written by Matti Pitkanen and published by Bentham Science Publishers. This book was released on 2016-03-03 with total page 1235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological geometrodynamics (TGD) is a modification of the theory of general relativity inspired by the problems related to the definition of inertial and gravitational energies in the earlier hypotheses. TGD is also a generalization of super string models. TGD brings forth an elegant theoretical projection of reality and builds upon the work by renowned scientists (Wheeler, Feynman, Penrose, Einstein, Josephson to name a few). In TGD, Physical space-time planes are visualized as four-dimensional surfaces in a certain 8-dimensional space (H). The choice of H is fixed by symmetries of standard model and leads to a geometric mapping of known classical fields and elementary particle numbers. TGD differs from Einstein’s geometrodynamics in the way space-time planes or ‘sheets’ are lumped together. Extending the theory based on fusing number concepts implies a further generalisation of the space-time concept allowing the identification of space-time correlates of cognition and intentionality. Additionally, zero energy ontology forces an extension of quantum measurement theory to a theory of consciousness and a hierarchy of phases is identified. Dark matter is thus predicted with far reaching implications for the understanding of consciousness and living systems. Therefore, it sets a solid foundation for modeling our universe in geometric terms. Topological Geometrodynamics: An Overview explains basic and advanced concepts about TGD. The book covers introductory information and classical TGD concepts before delving into twistor-space theory, particle physics, infinite-dimensional spinor geometry, generalized number theory, Planck constants, and the applications of TGD theory in research. The book is a valuable guide to TDG theory for researchers and advanced graduates in theoretical physics and cosmology.
Book Synopsis Geometrodynamics of Cylindrical Systems by : Kip S. Thorne
Download or read book Geometrodynamics of Cylindrical Systems written by Kip S. Thorne and published by . This book was released on 1965 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to the Anisotropic Geometrodynamics by : Sergey Siparov
Download or read book Introduction to the Anisotropic Geometrodynamics written by Sergey Siparov and published by World Scientific. This book was released on 2012 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to provide a new and fruitful approach to the challenging problems of modern physics, astrophysics, and cosmology. The well-known observations of the flat rotation curves of spiral galaxies and of the gravitational lensing effect greatly exceeding the expectations based on the classical GRT can be explained without bringing in the notion of dark matter. The Tully-Fisher law and the unusual features of globular clusters' motion become clear. It also turns out that new features appear in the cosmological picture that involves the Universe expansion and the acceleration of the latter. The theory and the first observational results of the specific galactic scale experiment based on the optical-metrical parametric resonance are also discussed in the book. Instead of the direct measurements of the extremely small gravitational waves, it appears sufficient just to register their action on the radiation of the space masers. It can be done for special cases when the source of the gravitational wave is strictly periodic and presents a close binary system. When the amount of data obtained in such observations is large enough, it would be possible to judge upon the geometrical properties of the space-time region enveloping our galaxy, the Milky Way. The foundations of the new approach stem from the equivalence principle which is the basics of the classical GRT. In order to make the presentation self-contained, the roots of century-old ideas are discussed again. This makes the book interesting not only to the specialists in the field but also to graduates and ambitious undergraduate students.
Book Synopsis Proceedings of the 1972 Biennial Meeting of the Philosophy of Science Association by : K. Schaffner
Download or read book Proceedings of the 1972 Biennial Meeting of the Philosophy of Science Association written by K. Schaffner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected papers from symposia and contributed sessions presented at the third biennial meeting of the Philosophy of Science Association, held in Lansing, Michigan, on October 27-29, 1972. We are grateful to Michigan State University, and especially to Professor Peter Asquith and his students and colleagues, for their friendly and efficient hospitality in organizing the circumstances of the sessions and of the 'intersessions', the unscheduled free time which is so important to any scholarly gathering. Several of the symposium papers have unhappily not been made available: those of Alasdair MacIntyre and Sidney Morgenbesser in the session on the social sciences, that of Ian Hacking in the session on randomness and that of Imre Lakatos in the session on discovery and rationality in science. Department of History and KENNETH F. SCHAFFNER Philosophy of Science, University of Pittsburgh Center for the Philosophy and ROBERT S. COHEN History of Science, Boston University TABLE OF CONTENTS PREFACE v PART I/SYMPOSIUM: SPACE, TIME AND MATTER: THE FOUNDATIONS OF GEOMETRODYNAMICS ADOLF GRUNBAUM / Space, Time, and Matter: The Foundations of Geometrodynamics. Introductory Remarks 3 CHARLES W. MISNER / Some Topics for Philosophical Inquiry Concerning the Theories of Mathematical Geometrodynamics and of Physical Geometrodynamics 7 JOHN STACHEL / The Rise and Fall of Geometrodynamics 31 PART II / PHILOSOPHICAL PROBLEMS OF BIOLOGY AND PSYCHOLOGY STUART KAUFFMAN / Elsasser, Generalized Complementarity, and Finite Classes: A Critique of His Anti-Reductionism 57 WILLIAM C.
Book Synopsis Gravitation and Inertia by : Ignazio Ciufolini
Download or read book Gravitation and Inertia written by Ignazio Ciufolini and published by Princeton University Press. This book was released on 2018-06-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's standard and battle-tested geometric theory of gravity--spacetime tells mass how to move and mass tells spacetime how to curve--is expounded in this book by Ignazio Ciufolini and John Wheeler. They give special attention to the theory's observational checks and to two of its consequences: the predicted existence of gravitomagnetism and the origin of inertia (local inertial frames) in Einstein's general relativity: inertia here arises from mass there. The authors explain the modern understanding of the link between gravitation and inertia in Einstein's theory, from the origin of inertia in some cosmological models of the universe, to the interpretation of the initial value formulation of Einstein's standard geometrodynamics; and from the devices and the methods used to determine the local inertial frames of reference, to the experiments used to detect and measure the "dragging of inertial frames of reference." In this book, Ciufolini and Wheeler emphasize present, past, and proposed tests of gravitational interaction, metric theories, and general relativity. They describe the numerous confirmations of the foundations of geometrodynamics and some proposed experiments, including space missions, to test some of its fundamental predictions--in particular gravitomagnetic field or "dragging of inertial frames" and gravitational waves.
Book Synopsis Intrinsic Time Geometrodynamics: At One With The Universe by : Chopin Soo
Download or read book Intrinsic Time Geometrodynamics: At One With The Universe written by Chopin Soo and published by World Scientific. This book was released on 2022-10-07 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discourse on time, gravity, and the universe that takes the reader through the subtleties of time, the origin of the universe, and physical evolution in Einstein's theory and its extensions. Can time and causality remain fundamental when the classical ideal of spacetime becomes a concept of limited applicability in quantum gravity? A thorough exposition on the canonical framework of Einstein's theory and its extensions reveals the synergy between gravitation and the cosmic clock of our expanding universe that renders time concrete, physical, and comprehensible. In conjunction with a paradigm shift from four-covariance to just spatial diffeomorphism invariance, causal time-ordering of the quantum state of the universe and its evolution in cosmic time become meaningful. The quantum state of the universe is the embodiment of our shared past, present, and future. The advocated framework prompts natural extensions and improvements to Einstein's theory. A salient feature is the addition of a Cotton-York term to the physical Hamiltonian. Besides bringing improved ultraviolet convergence, this radically changes the solution to the initial data problem and the quantum origin of the universe. It lends support to the quantum beginning of the universe as an exact Chern-Simons Hartle-Hawking state that features Euclidean-Lorentzian instanton tunneling. A signature of this state is that it manifests, at the lowest order approximation, scale-invariant two-point correlation function for transverse-traceless quantum metric fluctuations. This initial quantum state also implies, at the level of expectation values, a low-entropy hot smooth Robertson-Walker beginning that is in accord with Penrose's Weyl Curvature Hypothesis. Consequently, the gravitational arrow of time of increasing spatial volume and the thermodynamic second law arrow of time of increasing entropy concur as our universe expands and ages.
Book Synopsis The Conceptual Foundations of Contemporary Relativity Theory by : John Cowperthwaite Graves
Download or read book The Conceptual Foundations of Contemporary Relativity Theory written by John Cowperthwaite Graves and published by Cambridge, Mass : M.I.T. Press. This book was released on 1971 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central conceptual idea of the contemporary theory of general relativity--or geometrodynamics--is the identification of matter with the structure of space-time. No entities foreign to space-time, like masses, charges, or independent fields are needed, and physics thus becomes identical with the geometry of space-time. This idea implies a philosophical description of the universe that is monistic and organic, characterized by an all-encompassing interdependence of events. Moreover, it is an idea with deep roots in the history of philosophy. For these reasons, the author of this important study strives to clarify these philosophical and historical issues before proceeding to the details of the physical theory of geometrodynamics.
Book Synopsis Everything About Gravity - Proceedings Of The Second Lecospa International Symposium by : Pisin Chen
Download or read book Everything About Gravity - Proceedings Of The Second Lecospa International Symposium written by Pisin Chen and published by World Scientific. This book was released on 2016-12-29 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 2nd LeCosPA International Symposium, 'Everything about Gravity', collects 78 papers contributed by the symposium's Plenary Session and Parallel Session speakers. Organizers of the Parallel Sessions have in addition prepared summaries for their own sessions. The topics range from quasi-local energy in GR in the presence of gravitational radiations, a gauge theory perspective of gravity, naked black hole firewalls related to the black hole information loss paradox, a new theory of spacetime quantization, relations between the Schwinger effect and the Hawking radiation and Unruh effect, conformal frames in cosmology, surprises in nonrelativistic naturalness, inflation and tensor fluctuations, emergent spacetime for quantum gravity, understanding strongly coupled magnetism through holographic principle, the detections of dark matter, ultra-high energy cosmic neutrinos and cosmic rays, etc. Last but not least, the closing remark delivered by John Ellis raised the following question: Does cosmological inflation require a modification of Einstein's gravity?After 100 years of remarkable success of Einstein's general relativity, the development of a successful quantum theory of gravity has become a major goal in physics in the 21st century. This volume serves as a valuable reference for scientists who are interested in frontier research topics of gravity.
Download or read book Quantum Cosmology written by Remo Ruffini and published by World Scientific. This book was released on 1987 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This detailed survey comprises reprints on subjects related to the development of quantum cosmology. As an introduction, an overview is included.
Book Synopsis The Trinity and an Entangled World by : John Polkinghorne
Download or read book The Trinity and an Entangled World written by John Polkinghorne and published by Wm. B. Eerdmans Publishing. This book was released on 2010-08-25 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Besides containing insights from both expert scientists and theologians, The Trinity and an Entangled World considers the way in which these parallel insights can contribute to a harmonious dialogue between science and religion. --Book Jacket.
Book Synopsis The Arguments of Time by : British Academy
Download or read book The Arguments of Time written by British Academy and published by Oxford University Press. This book was released on 2006-03-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: These nine essays, commissioned on the initiative of the Philosophy section of the British Academy, address fundamental questions about time in philosophy, physics, linguistics, and psychology. Are there facts about the future? Could we affect the past? In physics, general relativity and quantum theory give contradictory treatments of time. So in the current search for a theory of quantum gravity, which should give way: general relativity or quantum theory? In linguistics and psychology, how does our language represent time, and how do our minds keep track of it?
Book Synopsis Rethinking the Concept of Law of Nature by : Yemima Ben-Menahem
Download or read book Rethinking the Concept of Law of Nature written by Yemima Ben-Menahem and published by Springer Nature. This book was released on 2022-06-13 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book subjects the traditional concept of law of nature to critical examination. There are two kinds of reasons that invite this reexamination, one deriving from philosophical concerns over the traditional concept, the other motivated by theoretical and practical changes in science. One of the philosophical worries is that the idiom of law of nature, especially when combined with the notion of laws 'governing' individual events and processes, is no longer as intelligible as it used to be in the theistic context in which the formulation of laws became central to science. The traditional concept is also challenged in various ways by contemporary scientific theories such as quantum mechanics, chaos theory and the general theory of relativity. It is no longer clear that there are any universal laws, laws do not always guarantee predictability, and the border between physical and mathematical considerations is constantly shifting. The most difficult challenge, perhaps, is to come up with a scientific explanation of the origin of laws. Wrestling with these intriguing problems, the papers in this volume broaden both our understanding of the natural order and our desiderata of scientific explanation.
Download or read book GROUP 24 written by J.P Gazeau and published by CRC Press. This book was released on 2003-11-30 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but a
Book Synopsis Covered with Deep Mist by : Dean Rickles
Download or read book Covered with Deep Mist written by Dean Rickles and published by Oxford University Press. This book was released on 2020-03-05 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of quantum gravity is often viewed as the most pressing unresolved problem of modern physics: our theories of spacetime and matter, described respectively by general relativity (Einstein's theory of gravitation and spacetime) and quantum mechanics (our best theory of matter and the other forces of nature) resist unification. Covered with Deep Mist provides the first book-length treatment of the history of quantum gravity, focusing on its origins and earliest stages of development until the mid-1950s. Readers will be guided through the impacts on the problem of quantum gravity resulting from changes in the two ingredient theories, quantum theory and general relativity, which were themselves still under construction in the years studied. We examine how several of the core approaches of today were formed in an era when the field was highly unfashionable. The book aims to be accessible to a broad range of readers and goes beyond a merely technical examination to include social and cultural factors involved in the changing fortunes of the field. Suitable for both newcomers and seasoned quantum gravity professionals, the book will shine new light on this century-old, unresolved problem.
