Download or read book Dynamics and Relativity written by Jeffrey Forshaw and published by John Wiley & Sons. This book was released on 2014-05-20 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new title in the Manchester Physics Series, this introductory text emphasises physical principles behind classical mechanics and relativity. It assumes little in the way of prior knowledge, introducing relevant mathematics and carefully developing it within a physics context. Designed to provide a logical development of the subject, the book is divided into four sections, introductory material on dynamics, and special relativity, which is then followed by more advanced coverage of dynamics and special relativity. Each chapter includes problems ranging in difficulty from simple to challenging with solutions for solving problems. Includes solutions for solving problems Numerous worked examples included throughout the book Mathematics is carefully explained and developed within a physics environment Sensitive to topics that can appear daunting or confusing

Download or read book Shape Dynamics written by Flavio Mercati and published by Oxford University Press. This book was released on 2018 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shape Dynamics is a radical yet soundly based reinterpretation of Einstein's theory of gravity that has opened up new approaches to gravity research. This text offers both a brief introduction and a detailed walk-through of the motivations for the theory, its development from first principles and an in-depth look at its present status.

Download or read book Essential Dynamics and Relativity written by Peter J. O’Donnell and published by CRC Press. This book was released on 2014-11-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Dynamics & Relativity provides students with an introduction to the core aspects of dynamics and special relativity. The author reiterates important ideas and terms throughout and covers concepts that are often missing from other textbooks at this level. He also places each topic within the wider constructs of the theory, without jumping from topic to topic to illustrate a point. The first section of the book focuses on dynamics, discussing the basic aspects of single particle motion and analyzing the motion of multi-particle systems. The book also explains the dynamical behavior of both composite bodies (rigid bodies) and objects in non-inertial frames of reference (rotating reference frames). The second section concentrates on relativity. The author describes the ideas leading to the inception of special relativity. He also formulates fundamental aspects, such as time dilation, length contraction, Lorentz transformations, and the visual aids of Minkowski diagrams, necessary to develop more sophisticated ideas. He then develops the concepts within the context of relativistic mechanics. With many examples throughout and exercises at the end of each chapter, this text makes the often daunting and confusing ideas of dynamics and special relativity accessible to undergraduate students studying the subjects for the first time.

Download or read book Special Relativity Electrodynamics and General Relativity written by John B. Kogut and published by Academic Press. This book was released on 2018-01-09 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity, all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. Fully revised and expanded second edition with improved figures Enlarged discussion of dynamics and the relativistic version of Newton’s second law Resolves the twin paradox from the principles of special and general relativity Includes new chapters which derive magnetism from relativity and electrostatics Derives Maxwell’s equations from Gauss’ law and the principles of special relativity Includes new chapters on differential geometry, space-time curvature, and the field equations of general relativity Introduces black holes and gravitational waves as illustrations of the principles of general relativity and relates them to the 2015 and 2017 observational discoveries of LIGO

Download or read book Dynamics and Relativity written by W. D. McComb and published by Oxford University Press on Demand. This book was released on 1999 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics and Relativity provides undergraduates in physics with an unusually accessible introduction to special relativity by emphasizing the connections between relativity and classical mechanics. The book begins by developing classical mechanics in a form that the author calls "Galilean Relativity," which emphasizes frames of reference. The author shows how a problem formulated in one frame of reference can then solved in another where the problem takes a simpler form. After applying this strategy to a number of classical problems, the author discusses the limitations of Galilean Relativity, particularly for handling Maxwell's equations, and then proceeds to develop Special Relativity while drawing extensively on the groundwork from the previous chapters. The book stresses conservation laws throughout and includes a final chapter that briefly outlines General Relativity.

Download or read book Relativistic Quantum Dynamics written by Eugene Stefanovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this third volume of three, quantum electrodynamics is formulated in the language of physical „dressed" particles. A theory where charged particles interact via instantaneous action-at-a-distance forces is constructed - without need for renormalization. This theory describes electromagnetic phenomena in terms of directly interacting charges, but in full accord with fundamental principles of relativity and causality. Contents Three ways to look at QFT Dressing What are advantages of dressed Hamiltonian? Coulomb potential and beyond Decays RQD in higher orders Classical electrodynamics Experimental support of RQD Particles and relativity Special theory of relativity Unitary dressing transformation Integral for decay law Coulomb scattering integral in fourth order Relativistic invariance of Coulomb–Darwin–Breit electrodynamics

Download or read book Advanced Mechanics and General Relativity written by Joel Franklin and published by Cambridge University Press. This book was released on 2010-07-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at advanced undergraduates with background knowledge of classical mechanics and electricity and magnetism, this textbook presents both the particle dynamics relevant to general relativity, and the field dynamics necessary to understand the theory. Focusing on action extremization, the book develops the structure and predictions of general relativity by analogy with familiar physical systems. Topics ranging from classical field theory to minimal surfaces and relativistic strings are covered in a homogeneous manner. Nearly 150 exercises and numerous examples throughout the textbook enable students to test their understanding of the material covered. A tensor manipulation package to help students overcome the computational challenge associated with general relativity is available on a site hosted by the author. A link to this and to a solutions manual can be found at www.cambridge.org/9780521762458.

Download or read book TRADD Total Relativity and Dimensional Dynamics written by Evert Corneilous Schoevers and published by Australian Self Publishing Group. This book was released on 2024-03-01 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Embark on a transformative cosmic odyssey with TRADD: Total Relativity And Dimensional Dynamics by E. C. Schoevers. In this mind-expanding exploration, Schoevers challenges established scientific paradigms, redefining our understanding of the universe. Delve into the mysteries of space, as TRADD reintroduces it as a tangible entity, prompting profound reconsideration. Schoevers boldly reimagines gravity, proposing it emerges from intricate interactions between space and time, displacing spacetime curvature. The speed of light, a fundamental cosmic constant, takes on new significance, suggesting it may be intrinsic to space and time themselves. Time, often elusive, finds its place in plain sight within the universe's mechanics. Schoevers invites readers to question established norms, providing a fresh perspective that transcends conventional thinking. TRADD isn't just a book; it's a guide to viewing the cosmos through a different lens.

Download or read book Shape Dynamics written by Flavio Mercati and published by Oxford University Press. This book was released on 2018-03-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on the nature of space and time explains the new theory of Space Dynamics, which describes the dynamics of gravity as the evolution of conformal 3-dimensional geometry. Shape Dynamics is equivalent to Einstein's General Relativity in those situations in which the latter has been tested experimentally, but the theory is based on different first principles. It differs from General Relativity in certain extreme conditions. Shape Dynamics allows us to describe situations in which the spacetime picture is no longer adequate, such as in the presence of singularities, when the idealization of infinitesimal rods measuring scales and infinitesimal clocks measuring proper time fails. This tutorial book contains both a quick introduction for readers curious about Shape Dynamics, and a detailed walk-through of the historical and conceptual motivations for the theory, its logical development from first principles and a description of its present status. It includes an explanation of the origin of the theory, starting from problems posed first by Newton more than 300 years ago. The book will interest scientists from a large community including all foundational fields of physics, from quantum gravity to cosmology and quantum foundations, as well as researchers interested in foundations. The tutorial is sufficiently self-contained for students with some basic background in Lagrangian/Hamiltonian mechanics and General Relativity.

Download or read book The Problem of Time written by Edward Anderson and published by Springer. This book was released on 2017-09-18 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a treatise on time and on background independence in physics. It first considers how time is conceived of in each accepted paradigm of physics: Newtonian, special relativity, quantum mechanics (QM) and general relativity (GR). Substantial differences are moreover uncovered between what is meant by time in QM and in GR. These differences jointly source the Problem of Time: Nine interlinked facets which arise upon attempting concurrent treatment of the QM and GR paradigms, as is required in particular for a background independent theory of quantum gravity. A sizeable proportion of current quantum gravity programs - e.g. geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense. This book's foundational topic is thus furthermore of practical relevance in the ongoing development of quantum gravity programs. This book shows moreover that eight of the nine facets of the Problem of Time already occur upon entertaining background independence in classical (rather than quantum) physics. By this development, and interpreting shape theory as modelling background independence, this book further establishes background independence as a field of study. Background independent mechanics, as well as minisuperspace (spatially homogeneous) models of GR and perturbations thereabout are used to illustrate these points. As hitherto formulated, the different facets of the Problem of Time greatly interfere with each others' attempted resolutions. This book explains how, none the less, a local resolution of the Problem of Time can be arrived at after various reconceptualizations of the facets and reformulations of their mathematical implementation. Self-contained appendices on mathematical methods for basic and foundational quantum gravity are included. Finally, this book outlines how supergravity is refreshingly different from GR as a realization of background independence, and what background independence entails at the topological level and beyond.

Download or read book Essential Dynamics and Relativity written by Peter J. O'Donnell and published by CRC Press. This book was released on 2014-11-24 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Dynamics & Relativity provides students with an introduction to the core aspects of dynamics and special relativity. The author reiterates important ideas and terms throughout and covers concepts that are often missing from other textbooks at this level. He also places each topic within the wider constructs of the theory, without jump

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2004 with total page 1384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Constrained Dynamics written by K. Sundermeyer and published by . This book was released on 2014-01-15 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Special Relativity in General Frames written by Éric Gourgoulhon and published by Springer Science & Business Media. This book was released on 2013-08-20 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special relativity is the basis of many fields in modern physics: particle physics, quantum field theory, high-energy astrophysics, etc. This theory is presented here by adopting a four-dimensional point of view from the start. An outstanding feature of the book is that it doesn’t restrict itself to inertial frames but considers accelerated and rotating observers. It is thus possible to treat physical effects such as the Thomas precession or the Sagnac effect in a simple yet precise manner. In the final chapters, more advanced topics like tensorial fields in spacetime, exterior calculus and relativistic hydrodynamics are addressed. In the last, brief chapter the author gives a preview of gravity and shows where it becomes incompatible with Minkowsky spacetime. Well illustrated and enriched by many historical notes, this book also presents many applications of special relativity, ranging from particle physics (accelerators, particle collisions, quark-gluon plasma) to astrophysics (relativistic jets, active galactic nuclei), and including practical applications (Sagnac gyrometers, synchrotron radiation, GPS). In addition, the book provides some mathematical developments, such as the detailed analysis of the Lorentz group and its Lie algebra. The book is suitable for students in the third year of a physics degree or on a masters course, as well as researchers and any reader interested in relativity. Thanks to the geometric approach adopted, this book should also be beneficial for the study of general relativity. “A modern presentation of special relativity must put forward its essential structures, before illustrating them using concrete applications to specific dynamical problems. Such is the challenge (so successfully met!) of the beautiful book by Éric Gourgoulhon.” (excerpt from the Foreword by Thibault Damour)

Download or read book Classical Relativistic Many Body Dynamics written by M.A. Trump and published by Springer Science & Business Media. This book was released on 1999-07-31 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.

Download or read book General Relativistic Dynamics written by Fred I. Cooperstock and published by World Scientific. This book was released on 2009 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings Einstein's general relativity into action in new ways at scales ranging from the tiny Planck scale to the scale of immense galactic clusters. It presents the case that Einstein's theory of gravity can describe the observed dynamics of galaxies without invoking the unknown OC dark matterOCO required in models based on Newtonian gravity. Drawing on the author's experience as a lecturer and on his own research, the book covers the essentials of Einstein's special and general relativity at a level accessible to undergraduate students. The early chapters provide a compact introduction to relativity for readers who have little or no background in the subject. Hermann Bondi's very transparent approach to special relativity is expanded to resolve the OC twin paradoxOCO using only elementary mathematics. In later chapters, general relativity is used to extend the concept of the Planck scale, to address the role of the cosmological term and to analyze the concept of OC time machinesOCO.

Download or read book The First Law of Mechanics in General Relativity Isochrone Orbits in Newtonian Gravity written by Paul Ramond and published by Springer Nature. This book was released on 2023-06-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis tackles two distinct problems of great interest in gravitational mechanics — one relativistic and one Newtonian. The relativistic one is concerned with the "first law of binary mechanics", a remarkably simple variational relation that plays a crucial role in the modern understanding of the gravitational two-body problem, thereby contributing to the effort to detect gravitational-wave signals from binary systems of black holes and neutron stars. The work reported in the thesis provides a mathematically elegant extension of previous results to compact objects that carry spin angular momentum and quadrupolar deformations, which more accurately represent astrophysical bodies than mere point particles. The Newtonian problem is concerned with the isochrone problem of celestial mechanics, namely the determination of the set of radial potentials whose bounded orbits have a radial period independent of the angular momentum. The thesis solves this problem completely in a geometrical way and explores its consequence on a variety of levels, in particular with a complete characterisation of isochrone orbits. The thesis is exceptional in the breadth of its scope and achievements. It is clearly and eloquently written, makes excellent use of images, provides careful explanations of the concepts and calculations, and it conveys the author’s personality in a way that is rare in scientific writing, while never sacrificing academic rigor.