Lorentz And Poincar Invariance

Author : Jong-Ping Hsu,Yuan-Zhong Zhang
Publisher : World Scientific
Page : 620 pages
File Size : 48,5 Mb
Release : 2001
Category : Science
ISBN : 9812810986

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Lorentz and Poincar‚ Invariance by Jong-Ping Hsu,Yuan-Zhong Zhang Pdf

This collection of papers provides a broad view of the development of Lorentz and Poincar(r) invariance and spacetime symmetry throughout the past 100 years. The issues explored in these papers include: (1) formulations of relativity theories in which the speed of light is not a universal constant but which are consistent with the four-dimensional symmetry of the Lorentz and Poincar(r) groups and with experimental results, (2) analyses and discussions by Reichenbach concerning the concepts of simultaneity and physical time from a philosophical point of view, and (3) results achieved by the union of the relativity and quantum theories, marking the beginnings of quantum electrodynamics and relativistic quantum mechanics. Ten of the fundamental experiments testing special relativity are also discussed, showing that they actually support a four-dimensional spacetime based on broad Lorentz and Poincar(r) invariance which is more general than and includes the special theory of relativity. The generalization of the concepts of simultaneity, physical time and the nature of the speed of light within a four-dimensional spacetime framework leads to the conclusion that the symmetries embodied by the special theory of relativity can be realized using only a single postulate OCo the principle of relativity for physical laws. Contents: Theoretical Implications of Lorentz and Poincar(r) Invariance: The Dawn of Lorentz and Poincar(r) Invariance (1887OCo1905): Inquiries Regarding the Constancy of the Speed of Light (1908-1910); The Splendid Union of Special Relativity and Quantum Mechanics (1927OCo1949); The Isotropy of the Speed of Light c: A Convenient Assumption (1963OCo1995); The Logically Simplest Theory of Relativity and Its 4-Dimensional Symmetry (1990OCo1994); Experiments for Lorentz and Poincar(r) Invariance: The Fizeau Experiment; The WilsonOCoWilson Experiment; The Observation of the Muon Lifetime Dilation; The MassOCoVelocity Relation Experiment; The Thomas Precession Experiment; and other papers. Readership: Upper-level undergraduates, graduate students, researchers and academics in mathematical physics and theoretical physics."

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 40,8 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789814478649

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A Broader View of Relativity by Anonim Pdf

Author : Jong-Ping Hsu,Leon Hsu
Publisher : World Scientific
Page : 540 pages
File Size : 55,5 Mb
Release : 2006
Category : Science
ISBN : 9789812774286

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A Broader View of Relativity by Jong-Ping Hsu,Leon Hsu Pdf

A Broader View of Relativity shows that there is still new life in old physics. The book examines the historical context and theoretical underpinnings of Einstein''s theory of special relativity and describes Broad Relativity, a generalized theory of coordinate transformations between inertial reference frames that includes Einstein''s special relativity as a special case. It shows how the principle of relativity is compatible with multiple concepts of physical time and how these different procedures for clock synchronization can be useful for thinking about different physical problems, including many-body systems and the development of a Lorentz-invariant thermodynamics. Broad relativity also provides new answers to old questions such as the necessity of postulating the constancy of the speed of light and the viability of Reichenbach''s general concept of time. The book also draws on the idea of limiting-four-dimensional symmetry to describe coordinate transformations and the physics of particles and fields in non-inertial frames, particularly those with constant linear accelerations. This new edition expands the discussion on the role that human conventions and unit systems have played in the historical development of relativity theories and includes new results on the implications of broad relativity for clarifying the status of constants that are truly fundamental and inherent properties of our universe. Sample Chapter(s). Chapter 1: Introduction and Overview (326 KB). Contents: The Historical and Physical Context of Relativity Theory: Space, Time and Inertial Frames; On the Right Track: Voigt, Lorentz, and Larmor; The Novel Creation of the Young Einstein; A Broader View of Relativity: The Central Role of the Principle of Relativity: Relativity Based Solely on the Principle of Relativity; Experimental Tests I & II; Group Properties of Taiji Relativity and Common Relativity; Common Relativity and Quantum Mechanics; Extended Relativity: A Weaker Postulate for the Speed of Light; The Role of the Principle of Relativity in the Physics of Accelerated Frames: The Principle of Limiting Lorentz and Poincar(r) Invariance; Physical Properties of Spacetime in Accelerated Frames; Dynamics of Classical and Quantum Particles in Constant-Linear-Acceleration Frames; Group and Lie Algebra Properties of Accelerated Spacetime Transformations; Appendices: Systems of Units and the Development of Relativity Theories; Quantum Electrodynamics in Both Linearly Accelerated and Inertial Frames; and other papers. Readership: Researchers in the field of relativity theory and advanced undergraduate students as a supplementary text.

Author : Jong-Ping Hsu,Yuan-Zhong Zhang
Publisher : World Scientific
Page : 616 pages
File Size : 51,5 Mb
Release : 2001-12-28
Category : Science
ISBN : 9789814490337

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Lorentz and Poincaré Invariance by Jong-Ping Hsu,Yuan-Zhong Zhang Pdf

This collection of papers provides a broad view of the development of Lorentz and Poincaré invariance and spacetime symmetry throughout the past 100 years. The issues explored in these papers include: (1) formulations of relativity theories in which the speed of light is not a universal constant but which are consistent with the four-dimensional symmetry of the Lorentz and Poincaré groups and with experimental results, (2) analyses and discussions by Reichenbach concerning the concepts of simultaneity and physical time from a philosophical point of view, and (3) results achieved by the union of the relativity and quantum theories, marking the beginnings of quantum electrodynamics and relativistic quantum mechanics. Ten of the fundamental experiments testing special relativity are also discussed, showing that they actually support a four-dimensional spacetime based on broad Lorentz and Poincaré invariance which is more general than and includes the special theory of relativity. The generalization of the concepts of simultaneity, physical time and the nature of the speed of light within a four-dimensional spacetime framework leads to the conclusion that the symmetries embodied by the special theory of relativity can be realized using only a single postulate — the principle of relativity for physical laws. Contents:Theoretical Implications of Lorentz and Poincaré Invariance: The Dawn of Lorentz and Poincaré Invariance (1887–1905)Inquiries Regarding the Constancy of the Speed of Light (1908-1910)The Splendid Union of Special Relativity and Quantum Mechanics (1927–1949)The Isotropy of the Speed of Light c: A Convenient Assumption (1963–1995)The Logically Simplest Theory of Relativity and Its 4-Dimensional Symmetry (1990–1994)Experiments for Lorentz and Poincaré Invariance:The Fizeau ExperimentThe Wilson–Wilson ExperimentThe Observation of the Muon Lifetime DilationThe Mass–Velocity Relation ExperimentThe Thomas Precession Experimentand other papers Readership: Upper-level undergraduates, graduate students, researchers and academics in mathematical physics and theoretical physics. Keywords:Lorentz;Poincare;Invariance (or Symmetry);Space;Time;Einstein;Relativity;Aether (or Ether);LightReviews:“The authors compiled a collection of articles addressing precisely the historical and interpretive issues of relativity. To simplify historical search many original articles written during the early days of relativity are included here as English translations, which can be very useful to the readers. Of particular interest is the role of Woldemar Voigt (1850–1919) on the emergence of relativity, which is being given its proper place here. The authors' own comments on these issues appear as separate articles placed strategically throughout the volume to emphasize specific points.”Professor George Leung Department of Physics, University of Massachusetts Dartmouth, USA

Author : R. Mirman
Publisher : iUniverse
Page : 233 pages
File Size : 40,8 Mb
Release : 2005-05
Category : Elektromanyetizma
ISBN : 9780595341245

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Massless Representations of the Poincaré Group by R. Mirman Pdf

Preface 1 The Physical Meaning of Poincare Massless Representations 1 2 Massless Representations 12 3 Massless Fields are Different 32 4 How to Couple Massless and Massive Matter 56 5 The Behavior of Matter in Fields 73 6 Geometrical Reasons for the Poincare Group 95 7 Description of the Electromagnetic Field 123 8 The Equations Governing Free Gravitation 135 9 How Matter Determines Gravitational Fields 150 10 Nonlinearity and Geometry 165 11 Quantum Gravity 183 References 201 Index 207.

Author : Sibel Baskal,Young S Kim,Marilyn E Noz
Publisher : Morgan & Claypool Publishers
Page : 125 pages
File Size : 44,9 Mb
Release : 2015-11-01
Category : Science
ISBN : 9781681740621

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Physics of the Lorentz Group by Sibel Baskal,Young S Kim,Marilyn E Noz Pdf

This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.

Author : Anonim
Publisher : Unknown
Page : 1142 pages
File Size : 46,7 Mb
Release : 1973
Category : Nuclear energy
ISBN : UOM:39015026176464

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Nuclear Science Abstracts by Anonim Pdf

Author : Jong-Ping Hsu,Leonardo Hsu
Publisher : World Scientific
Page : 538 pages
File Size : 54,8 Mb
Release : 2006
Category : Science
ISBN : 9789812566515

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A Broader View of Relativity by Jong-Ping Hsu,Leonardo Hsu Pdf

A Broader View of Relativity shows that there is still new life in old physics. The book examines the historical context and theoretical underpinnings of Einstein's theory of special relativity and describes Broad Relativity, a generalized theory of coordinate transformations between inertial reference frames that includes Einstein's special relativity as a special case. It shows how the principle of relativity is compatible with multiple concepts of physical time and these different procedures for clock synchronization can be useful for thinking about different physical problems, including many-body systems and the development of a Lorentz-invariant thermodynamics. Broad relativity also provides new answers to old questions such as the necessity of postulating the constancy of the speed of light and the viability of Reichenbach's general concept of time. The book also draws on the idea of limiting-four-dimensional symmetry to describe coordinate transformations and the physics of particles and fields in non-inertial frames, particularly those with constant linear accelerations. This new edition expands the discussion on the role that human conventions and unit systems have played in the historical development of relativity theories and includes new results on the implications of broad relativity for clarifying the status of constants that are truly fundamental and inherent properties of our universe. Contents: Special Relativity is NOT Incorrect!; Space, Time, and Inertial Frames; The Novel Creation of the Young Einstein; Experimental Tests; Group Properties; Common Relativity and Quantum Mechanics; Extended Relativity; Dynamics of Classical and Quantum Particles; Group and Lie Algebra Properties of Accelerated Transformation of Spacetime; Graphic Representations of the Geometry of Spacetime in Accelerated Frames; Two Rocketships with Constant-Linear Acceleration; On a Gauge Theory of Gravity with Translation Gauge Symmetry in Inertial and Non-Inertial Frames; Appendices: Technical Aspects of Extended Relativity; Coordinate Transformations for Rotating Frames; and other papers. Key Features Includes five new chapters A complete and comprehensive description of Broad Relativity, which generalizes Einstein's original theory of special relativity to new physical time systems and a limited class of non-inertial frames Brings a fresh viewpoint with new physical implications and predictions to old physics Gives an updated discussion on fundamental physical constants and unit systems and their influence on the development of relativity theories Readership: Researchers in the field of relativity theory and advanced undergraduate students as a supplementary text.

Author : Hans C. Ohanian,Remo Ruffini
Publisher : Cambridge University Press
Page : 545 pages
File Size : 43,5 Mb
Release : 2013-04-08
Category : Science
ISBN : 9781107012943

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Gravitation and Spacetime by Hans C. Ohanian,Remo Ruffini Pdf

This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.

Author : Asghar Qadir
Publisher : World Scientific
Page : 146 pages
File Size : 53,7 Mb
Release : 1989
Category : Science
ISBN : 9971506122

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Relativity by Asghar Qadir Pdf

The most important feature in this book is the simple presentation with details of calculations. It is very easy to follow. Fairly sophisticated calculations are developed very rapidly. The presentation is logical and the detailed coverage makes this book very readable and useful. The contents develop Relativity as a modern theory of motion, starting by placing it in historical perspective and proceeding to show its logical necessity. The development of the Lorentz transformation is given using only one assumption rather than two. Right away in Chapter 3, geometry as required in Special Relativity for extension to General Relativity is introduced. This enables the use of the four-vector formalism of Minkowski. By the end of Chapter 4, the general Lorentz transformations for three-dimensional motion and their relation to four-dimensional boosts have already been explained. In Chapter 5 applications of relevance in Physics are provided. After a brief introduction to elementary electromagnetic theory, it is reformulated as a theory in four-dimensions using tensors in Chapter 6. Finally in Chapter 7, the theory is extended to deal with accelerated motion as ?corrections? to Special Relativity.

Author : Jürgen Ehlers,Claus Lämmerzahl
Publisher : Springer
Page : 542 pages
File Size : 51,8 Mb
Release : 2006-09-11
Category : Science
ISBN : 9783540345237

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Special Relativity by Jürgen Ehlers,Claus Lämmerzahl Pdf

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.

Author : Éric Charpentier,Etienne Ghys,Annick Lesne
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 51,5 Mb
Release : 2010
Category : Biography & Autobiography
ISBN : 9780821847183

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The Scientific Legacy of Poincare by Éric Charpentier,Etienne Ghys,Annick Lesne Pdf

Henri Poincare (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. In this book, twenty world experts present one part of Poincare's extraordinary work. Each chapter treats one theme, presenting Poincare's approach, and achievements.

Author : William Lane Craig,Quentin Smith
Publisher : Routledge
Page : 311 pages
File Size : 48,8 Mb
Release : 2007-11-08
Category : Philosophy
ISBN : 9781134003884

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Einstein, Relativity and Absolute Simultaneity by William Lane Craig,Quentin Smith Pdf

Einstein, Relativity and Absolute Simultaneity is an anthology of original essays by an international team of leading philosophers and physicists who have come together to reassess the contemporary paradigm of the relativistic concept of time. A great deal has changed since 1905 when Einstein proposed his Special Theory of Relativity, and this book offers a fresh reassessment of Special Relativity’s relativistic concept of time in terms of epistemology, metaphysics, and physics.

Author : Young Suh Kim,M. Noz
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 54,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400945586

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Theory and Applications of the Poincaré Group by Young Suh Kim,M. Noz Pdf

Special relativity and quantum mechanics, formulated early in the twentieth century, are the two most important scientific languages and are likely to remain so for many years to come. In the 1920's, when quantum mechanics was developed, the most pressing theoretical problem was how to make it consistent with special relativity. In the 1980's, this is still the most pressing problem. The only difference is that the situation is more urgent now than before, because of the significant quantity of experimental data which need to be explained in terms of both quantum mechanics and special relativity. In unifying the concepts and algorithms of quantum mechanics and special relativity, it is important to realize that the underlying scientific language for both disciplines is that of group theory. The role of group theory in quantum mechanics is well known. The same is true for special relativity. Therefore, the most effective approach to the problem of unifying these two important theories is to develop a group theory which can accommodate both special relativity and quantum mechanics. As is well known, Eugene P. Wigner is one of the pioneers in developing group theoretical approaches to relativistic quantum mechanics. His 1939 paper on the inhomogeneous Lorentz group laid the foundation for this important research line. It is generally agreed that this paper was somewhat ahead of its time in 1939, and that contemporary physicists must continue to make real efforts to appreciate fully the content of this classic work.

Author : Jong-Ping Hsu
Publisher : World Scientific
Page : 450 pages
File Size : 53,9 Mb
Release : 2000
Category : Science
ISBN : 9812813489

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Einstein's Relativity and Beyond by Jong-Ping Hsu Pdf

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.