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De Sitter Invariant Special Relativity

De Sitter Invariant Special Relativity Author Mu-Lin Yan
ISBN-10 9789814618724
Release 2015-06-24
Pages 280
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Einstein's Special Relativity (E-SR) is the cornerstone of physics. De Sitter invariant SR (dS/AdS-SR) is a natural extension of E-SR, hence it relates to the foundation of physics. This book provides a description to dS/AdS-SR in terms of Lagrangian-Hamiltonian formulation associated with spacetime metric of inertial reference frames. One of the outstanding features of the book is as follows: All discussions on SR are in the inertial reference frames. This is a requirement due to the first principle of SR theory. The descriptions on dS/AdS-SR in this book satisfy this principle. For the curved spacetime in dS/AdS-SR theory, it is highly non-trivial. Contents:General IntroductionOverview of Einstein's Special Relativity (E-SR)De Sitter Invariant Special RelativityDe Sitter Invariant General RelativityDynamics of Expansion of the Universe in General RelativityRelativistic Quantum Mechanics for de Sitter Invariant Special RelativityDistant Hydrogen Atom in CosmologyTemporal and Spatial Variation of the Fine Structure ConstantDe Sitter Invariance of Generally Covariant Dirac Equation Readership: Students and professionals who are interested in de Sitter and anti-de Sitter invariant Special Relativity. Key Features:This is the first book to describe dS/AdS-SR systematically and comprehensivelyThe crucial contributions to dS/AdS-SR due to Lu–Zou–Guo's work (1970's) are interpreted in detail in this book. The conceptions of dS/AdS-SR Mechanics, dS/AdS-SR Quantum Mechanics, dS/AdS-SR General Relativity, and effects of dS/AdS-SR Cosmology are introduced in the book. In the descriptions, many techniques are involvedThe author, Professor Mu-Lin Yan, is an expert in SR, GR, Black Hole Physics, and Particle Physics. He is one of the discoverers of Nieh–Yan topological identity (1982), High genus solution of Yang–Baxter equation of chiral Potts model (1987), and some unusual hadron's states (2005). He also has contributions to the calculations of entropies of black holes, and to the studies of non-perturbative QCDKeywords:De Sitter Invariant Special Relativity;Special Relativity;De Sitter Group

De Sitter Projective Relativity

De Sitter Projective Relativity Author Ignazio Licata
ISBN-10 9783319522715
Release 2017-03-13
Pages 108
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This book presents the Projective approach to de Sitter Relativity. It traces the development of renewed interest in models of the universe at constant positive curvature such as "vacuum" geometry. The De Sitter Theory of Relativity, formulated in 1917 with Willem De Sitter's solution of the Einstein equations, was used in different fields during the 1950s and 1960s, in the work of H. Bacry, J.M. LevyLeblond and F.Gursey, to name some important contributors. From the 1960s to 1980s, L. Fantappié and G. Arcidiacono provided an elegant group approach to the De Sitter universe putting the basis for special and general projective relativity. Today such suggestions flow into a unitary scenario, and this way the De Sitter Relativity is no more a "missing opportunity" (F. Dyson, 1972), but has a central role in theoretical physics. In this volume a systematic presentation is given of the De Sitter Projective relativity, with the recent developments in projective general relativity and quantum cosmology.


Kinematics Author Source Wikipedia
ISBN-10 1156845238
Release 2010-09
Pages 36
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 34. Chapters: Acceleration, Rotation, Centripetal force, Universal joint, De Sitter invariant special relativity, Rotation operator, Instant centre of rotation, Velocity, Rational motion, Screw theory, Cell Transmission Model, Geneva drive, Klann linkage, Four-bar linkage, Burmester's theory, Kinematic pair, Mechanism, Kenneth H. Hunt, Heat current, Torricelli's equation, Screw joint, Revolute joint, Prismatic joint, Cylindrical joint, Center of mass coordinates, Centrode. Excerpt: Centripetal force (from Latin centrum "center" and petere "to seek") is a force that makes a body follow a curved path: it is always directed orthogonal to the velocity of the body, toward the instantaneous center of curvature of the path. The mathematical description was derived in 1659 by Dutch physicist Christiaan Huygens. Isaac Newton's description was: "A centripetal force is that by which bodies are drawn or impelled, or in any way tend, towards a point as to a center." The magnitude of the centripetal force on an object of mass m moving at a speed v along a path with radius of curvature r is: where is the centripetal acceleration. The direction of the force is toward the center of the circle in which the object is moving, or the osculating circle, the circle that best fits the local path of the object, if the path is not circular. This force is also sometimes written in terms of the angular velocity ? of the object about the center of the circle: Expressed using the period for one revolution of the circle, T, the equation becomes: For a satellite in orbit around a planet, the centripetal force is supplied by gravity. Some sources, including Newton, refer to the entire force as a centripetal force, even for non-circular orbits, for which gravity is not aligned with the direction to the center of curvature. The gravitational force acts on each obj...

Quantum Gravity

Quantum Gravity Author Source Wikipedia
ISBN-10 1156792134
Release 2011-08-15
Pages 44
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 43. Chapters: Graviton, Planck scale, Causal sets, De Sitter invariant special relativity, Event symmetry, Noncommutative geometry, AdS/CFT correspondence, Mathematical universe hypothesis, Invariance mechanics, Causal dynamical triangulation, Quantum mechanics of time travel, Gravitational instanton, Gravastar, Canonical quantum gravity, CGHS model, Gravitino, List of quantum gravity researchers, Membrane paradigm, Acoustic metric, Black hole electron, Wheeler-DeWitt equation, Dark energy star, Quantum foam, Chronon, Green-Schwarz mechanism, Quantum field theory in curved spacetime, Geon, Black hole complementarity, Black star, Rolling ball argument, BTZ black hole, Quantum geometry, Ho?ava-Lifshitz gravity, Bousso's holographic bound, Swampland, Gravitational anomaly, Virtual black hole, Causal patch, Abstract differential geometry, 2+1D topological gravity, Trans-Planckian problem, Group field theory, Mixed anomaly, Quantum cosmology, Pregeometry, Euclidean quantum gravity, Schr dinger-Newton equations, Composite gravity, Gauged supergravity, Weinberg-Witten theorem, IR/UV mixing, Nuts and bolts, Diffeomorphism constraint, Minisuperspace, Quantum gravity epoch, MTZ black hole. Excerpt: Quantum gravity (QG) is the field of theoretical physics which attempts to develop scientific models that unify quantum mechanics (describing 3 of the 4 known fundamental interactions) with general relativity (describing the fourth, gravity). It is hoped that development of such a theory would unify in a single consistent model all fundamental interactions and to describe all known observable interactions in the universe, at both microscopic and cosmic scale. Such theories would yield the same experimental results as ordinary quantum mechanics in conditions of weak gravity (potentials much less than c) and the same results as Einsteinian general...

Gravitation and Astrophysics

Gravitation and Astrophysics Author
ISBN-10 9789814477291
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Gravitation and Astrophysics has been writing in one form or another for most of life. You can find so many inspiration from Gravitation and Astrophysics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Gravitation and Astrophysics book for free.

Solid State Physics

Solid State Physics Author CTI Reviews
ISBN-10 9781478450054
Release 2016-09-26
Pages 203
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Facts101 is your complete guide to Solid State Physics. In this book, you will learn topics such as Failures of the Free Electron Model, Crystal Lattices, The Reciprocal Lattice, and Determination of Crystal Structures by X-Ray Diffraction plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Special Relativity

Special Relativity Author Jürgen Ehlers
ISBN-10 9783540345237
Release 2006-09-11
Pages 533
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After about a century of success, physicists feel the need to probe the limits of validity of special-relativity base theories. This book is the outcome of a special seminar held on this topic. The authors gather in a single volume an extensive collection of introductions and reviews of the various facets involved, and also includes detailed discussion of philosophical and historical aspects.

Einstein s General Theory of Relativity

Einstein s General Theory of Relativity Author Øyvind Grøn
ISBN-10 9780387692005
Release 2007-08-24
Pages 538
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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.

The Astronomical Aspect of the Theory of Relativity

The Astronomical Aspect of the Theory of Relativity Author Willem de Sitter
ISBN-10 UOM:39015017189559
Release 1933
Pages 54
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The Astronomical Aspect of the Theory of Relativity has been writing in one form or another for most of life. You can find so many inspiration from The Astronomical Aspect of the Theory of Relativity also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Astronomical Aspect of the Theory of Relativity book for free.

One Hundred Years Of General Relativity From Genesis And Empirical Foundations To Gravitational Waves Cosmology And Quantum Gravity

One Hundred Years Of General Relativity  From Genesis And Empirical Foundations To Gravitational Waves  Cosmology And Quantum Gravity  Author Ni Wei-tou
ISBN-10 9789814678513
Release 2017-05-26
Pages 636
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The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.

Problems and Solutions in Special Relativity and Electromagnetism

Problems and Solutions in Special Relativity and Electromagnetism Author Sergei Kruchinin
ISBN-10 9789813227293
Release 2017-07-27
Pages 148
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Field theory is an important topic in theoretical physics, which is studied in the physical and physico-mathematical departments of universities. Therefore, lecturers are faced with the urgent task of not only providing students with information about the subject, but also to help them master the material at a deep qualitative level, by presenting the specific features of general approaches to the statement and the solution of problems in theoretical physics. One of the ways to study field theory is the practical one, where the students can deepen their knowledge of the theoretical material and develop problem-solving skills. This book includes a concise theoretical summary of the main branches of field theory and electrodynamics, worked examples, and some problems for the student to solve. The book is written for students of theoretical and applied physics, and corresponds to the curricula of the theoretical courses "Field theory" and "Electrodynamics" for physics undergraduates. It can also be useful for students of other disciplines, in particular, those in which physics is one of the base subjects. Request Inspection Copy Contents: ForewordIntroductionVector and Tensor AnalysesElements of the Special Theory of RelativityRelativistic MechanicsConstant Electric and Magnetic Fields in VacuumElectromagnetic WavesField of Moving ChargesEmission of Electromagnetic Waves Readership: Teachers and students of theoretical physics at advanced undergraduate level.

Introduction to the Theory of Relativity

Introduction to the Theory of Relativity Author Peter Gabriel Bergmann
ISBN-10 0486632822
Release 1976
Pages 307
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Comprehensive coverage of special theory (frames of reference, Lorentz transformation, more), general theory (principle of equivalence, more) and unified theory (Weyl's gauge-invariant geometry, more.) Foreword by Albert Einstein.

Spacetime and Geometry

Spacetime and Geometry Author Sean Carroll
ISBN-10 1292026634
Release 2013-08
Pages 513
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Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity for advanced undergraduates and graduate students. It introduces modern techniques and an accessible and lively writing style to what can often be a formal and intimidating subject. Readers are led from physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. Subtle points are illuminated throughout the text by careful and entertaining exposition. A straightforward and lucid approach, balancing mathematical rigor and physical insight, are hallmarks of this important text.

Directions in General Relativity Volume 2

Directions in General Relativity  Volume 2 Author B. L. Hu
ISBN-10 0521452678
Release 1993-07-22
Pages 391
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These two volumes are the proceedings of a major International Symposium on General Relativity held at the University of Maryland in March 1993 to celebrate the sixtieth birthdays of Professor Charles Misner and Professor Dieter Brill. The volumes cover classical general relativity, quantum gravity and quantum cosmology, canonical formulation and the initial value problem, topology and geometry of spacetime and fields, mathematical and physical cosmology, and black hole physics and astrophysics. As invited articles, the papers in these volumes have an aim which goes beyond that of a standard conference proceedings. Not only do the authors discuss the most recent research results in their fields, but many also provide historical perspectives on how the subjects have developed and offer individual insights in their search for new directions.

Teleparallel Gravity

Teleparallel Gravity Author Ruben Aldrovandi
ISBN-10 9789400751439
Release 2012-08-10
Pages 214
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Teleparallel Gravity (TG) is an alternative theory for gravitation, which is equivalent to General Relativity (GR). However, it is conceptually different. For example in GR geometry replaces the concept of force, and the trajectories are determined by geodesics. TG attributes gravitation to torsion, which accounts for gravitation by acting as a force. TG has already solved some old problems of gravitation (like the energy-momentum density of the gravitational field). The interest in TG has grown in the last few years. The book here proposed will be the first one dedicated exclusively to TG, and will include the foundations of the theory, as well as applications to specific problems to illustrate how the theory works.

Einstein s Relativity and Beyond

Einstein s Relativity and Beyond Author Jong-Ping Hsu
ISBN-10 9812813489
Release 2000
Pages 440
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The purposes of this book are (1) to explore and expound relativity physics and four-dimensional symmetry from the logically simplest viewpoint by making one single postulate instead of two; and (2) to indicate the simplest generalization of the Lorentz transformation in order to cope with frames with constant linear acceleration.

Einstein Gravity in a Nutshell

Einstein Gravity in a Nutshell Author A. Zee
ISBN-10 9781400847457
Release 2013-05-05
Pages 888
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This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers)