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The aim of this book is to provide a treatment of quantum Yang–Mills gravity, with an emphasis on the ideas and evidence that the gravitational field is the manifestation of space-time translational symmetry in flat space-time, and that there exists a fundamental space-time symmetry framework that can encompass all of physics, including gravity, for all inertial and non-inertial frames of reference.

Contents:The Taiji Symmetry Framework (Leonardo Hsu and Jong-Ping Hsu):Space-Time Symmetry, Natural Units and Fundamental ConstantsThe Taiji Relativity FrameworkThe Principle of Limiting Continuation of Physical Laws and Coordinate Transformations for Frames with Constant AccelerationsCoordinate Transformations for Frames with Arbitrary Linear Accelerations and the Taiji Pseudo-GroupCoordinate Transformations for Rotating Frames and Experimental TestsConservation Laws and Symmetric Energy–Momentum TensorsQuantum Yang–Mills Gravity (Jong-Ping Hsu and Leonardo Hsu):The Yang–Mills–Utiyama–Weyl Framework for Internal and External Gauge SymmetriesYang–Mills Gravity Based on Flat Space-Time and Effective Curved Space-Time for Motions of Classical ObjectsExperimental Tests of Classical Yang–Mills GravityThe S-Matrix in Yang–Mills GravityQuantization of Yang–Mills Gravity and Feynman–Dyson RulesGravitational Self-Energy of the GravitonSpace-Time Gauge Identities and Finite-Loop RenormalizationA Unified Gravity–Electroweak ModelA Unified Gravity–Strong Force ModelOutlookAppendices:The Fock–Hilbert Approach to Local Symmetry and Conservation Laws in General Frames of ReferenceCalculations of Hμν in the Gravitational Field EquationTensor Properties of Physical Quantities in Taiji Space-TimeReadership: Graduate students and researchers in quantum gravity.

Keywords:YangâMills Gravity;Translational Gauge Symmetry;Space-Time Symmetry;Unified ModelKey Features:Quantum Yang–Mills gravity differs from all previous formulations of gravity in its simplicity of the Lagrangian and in its physical coherenceThe book contains a unique treatment of the ‘taiji symmetry’ frameworkThe book discusses a total unified model for all known interactions based on a generalized Yang–Mills framework

Prof Wu feels grateful that he had the opportunity to educate a group of extremely talented students and, in particular, to discover T D Lee's remarkable talent. Although creative talent is no doubt a product of nature, it must also be nurtured. Prof Wu has played a crucial role for an entire generation of physicists in China and has won great respect from former students such as C N Yang, T D Lee, K Huang, and countless others. Prof Wu's love of physics and his dedication in teaching and research will always be remembered.

Contents:The Scientific Research and Teaching of Ta-You Wu (J P Hsu)Scientific Publications of Ta-You Wu (Selected)Reminiscences of My Ann Arbor Days (Ta-You Wu)Comments After Professor Wu's Talk (C N Yang)Einstein's Impact on Theoretical Physics (C N Yang)Vibration of the Carbon-60 Molecule (T-T Chou & C N Yang)Effects of Heavy and Light Hole Mixing in Quantum Well Physics (K Huang)Knot Theory and Statistical Mechanics (F-Y Wu)Leptonic Photon and Light Element Abundances (L B Okun)Covariant Model of Relativistic Extended Particles Based on the Oscillator Representation of the Poincaré Group (Y S Kim)Limiting Symmetry Principle, Universal Constants and Generalized Lorentz Transformations for Non-inertial Frames (J P Hsu & L Hsu)

Readership: Graduate and post-graduate students in theoretical physics.

Keywords:

The ICGAC-12 aimed to serve as a common platform around the Asia-Pacific region for the exchange and communication among all researchers in the fields of gravitation, astrophysics and cosmology. The scope covered in the conference includes dark matter, dark energy, experimental study of gravity, black holes, quantum Yang-Mills gravity, GR extension, variation of constants, fundamental physics space projects, relativistic astrophysics, white dwarfs, neutron stars, and gamma ray bursts.

Contents:Classical Gravity and GR ExtensionsClassical and Quantum Cosmology, Dark Matter and Dark EnergyBlack Holes and WormholesStrings, Branes, Higher Spin Fields, Quantum GravityExtra Dimensions and Variation of ConstantsGravitational ExperimentsRelativistic AstrophysicsReadership: Students and Professionals in the areas of Gravitation, Astrophysics, and Cosmology.

Key Features:New approach to accelerated cosmic expansion based on extremely weak gauge fields associated with conserved baryon numberQuantum gravity based on Yang-Mills type gauge symmetry of space-time and translational gauge symmetryProminent contributors: A Beesham, R Maartence (South Africa); Shapiro, C Romero, D Ditman (Brazil); V Frolov (Canada); V Man''ko (Mexico); A Dolgov (Italy); and well-known scientists from RussiaKeywords:Astrophysics;Cosmology;Dark Matter;Dark Energy;Black Holes;Quantum Yang–Mills Gravity;GR Extension;Variation of Constants;Experimental Study of Gravity'

The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a Yang-Mills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physics of fields and particles in accelerated frames of reference.

These unfulfilled aspects of Einstein and Yang–Mills' profound thoughts present a great challenge to physicists and mathematicians in the 21st century.

Contents:The Dawn of Gravitation:The Mathematical Principles of Natural Philosophy (I Newton)On the Dynamics of the Electron (H Poincaré)Einstein's Deepest Insight and Its Early Impacts:Outline of a Generalized Theory of Relativity and of a Theory of Gravitation (A Einstein & M Grossmann)The Foundation of the General Theory of Relativity (A Einstein)On a Generalization of the Concept of Riemann Curvature and Spaces with Torsion (E Cartan)The Scalar-Tensor Theory of Gravity:Formation of the Stars and Development of the Universe (P Jordan)Yang–Mills' Deepest Insight and Its Relation to Gravity:Conservation of Isotopic Spin and Isotopic Gauge Invariance (C N Yang & R L Mills)Conservation of Heavy Particles and Generalized Gauge Transformations (T D Lee & C N Yang)Invariant Theoretical Interpretation of Interaction (R Utiyama)Accelerated Frames: Generalizing the Lorentz Transformations:On Homogeneous Gravitational Fields in the General Theory of Relativity and the Clock Paradox (C Møller)The Clock Paradox in the Relativity Theory (T Y Wu & Y C Lee)Four-dimensional Symmetry of Taiji Relativity and Coordinate Transformations Based on a Weaker Postulate for the Speed of Light (J P Hsu & L Hsu)Quantum Gravity and 'Ghosts':Quantum Theory of Gravitation (R P Feynman)Quantum Theory of Gravity, III Applications of the Covariant Theory (B S DeWitt)Feynman Diagrams for the Yang–Mills Field (L D Faddeev & V N Popov)Missed Opportunities (F J Dyson)Gauge Theories of Gravity:Extended Translation Invariance and Associated Gauge Fields (K Hayashi & T Nakano)Gravitational Field as a Generalized Gauge Field (R Utiyama & T Fukuyama)Alternate Approaches to Gravity: Roads Less Traveled By:Fixation of Coordinates in the Hamiltonian Theory of Gravitation (P A M Dirac)New General Relativity (K Hayashi & T Shirafuji)Relativistic Theory of Gravitation (A A Logunov & M A Mestvirishvili)Yang–Mills Gravity: A Union of Einstein-Grossmann Metric with Yang–Mills Tensor Fields in Flat Spacetime with Translation Symmetry (J P Hsu)Experimental Tests of Gravitational Theories:Empirical Foundations of the Relativistic Gravity (W T Ni)Binary Pulsars and Relativistic Gravity (J H Taylor, Jr.)Other Perspectives:Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields (T T Wu & C N Yang)Gauge Theory: Historical Origins and Some Modern Developments (L O'Raifeartaigh & N Straumann)The Cosmological Constant and Dark Energy (P J E Peebles & B Ratra)and other papers

Readership: Researchers in theoretical physics, particle physics and mathematical physics.

Keywords:Einstein;YangâMills;Gauge Fields;Gauge Symmetry;Gravity;Accelerated Frame;General Relativity;Quantum GravityKey Features:Gives the initial formulations of general relativity and Yang–Mills theoryAttempts to formulate gravity as Yang–Mills theory and quantum theory

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

Contents:A Brief Review of Space and TimeThe Nontrivial Pursuit of Earth's Absolute MotionOn the Right Track — Voigt, Lorentz and LarmorePoincaré's Contributions and the Aether (Past and Present)Young Einstein's Novel Creation Based on 2 PostulatesMinkowski's 4-Dimensional Spacetime, Adjustable Clocks and Flexibility in the Concept of TimeTaiji Relativity Based Solely on 1 Principle — the First Principle of RelativityThe Arbitrary Speed of Light in Taiji Relativity and the Michelson-Morley ExperimentLorentz and Poincaré Invariance Without Involving a Constant Corresponding to the Speed of LightTruly Universal Constants and Physical Laws Based on Taiji RelativityQuantum Electrodynamics Based on Taiji Relativity and Dilatation of Lifetimes and Decay-LengthsCommon Relativity: A Common Time for all ObserversCommon Time and Many-Particle Systems in a 4-Dimensional Symmetry FrameworkCommon Relativity and Quantum MechanicsCommon Relativity and Fuzzy Quantum Field TheoryCommon Relativity and the 3 K Cosmic Background RadiationExtended Relativity: A Weaker Postulate for the Speed of LightExtended Relativity with the Lorentz Group and Lifetime DilatationPhysical Implications of Extended RelativityDetermination of the Parameters of General Linear Transformations by Precision ExperimentsGeneralized Lorentz Transformations for Non-Inertial Frames Based on the Limiting 4-Dimensional SymmetryDynamics of Classical and Quantum Particles in Non-Inertial Frames with the Limiting 4-Dimensional SymmetryExperimental Tests of Generalized Lorentz Transformations for Constant-Linear-Acceleration FramesQuantizations of Scalar, Spinor and Electromagnetic Fields in Constant-Linear-Acceleration FramesTaiji Rotational Transformations with the Limiting 4-Dimensional Symmetry

Readership: Theoretical, high-energy and experimental physicists.

Keywords:Space;Time;Spacetime;Relativity;Lorentz;Poincare;Einstein;Minkowski;Symmetry;Invariance;Light;JP HsuReviews:

“Hsu's book shows many new aspects of Einstein's theory which are not taught in lectures or by any other books on this subject … His understanding and appreciation of physics together with his unconventional style of writing make, in my opinion, the book worth reading for every physicist who is interested in Special Relativity.”

Andreas ErnstUniversity of Heidelberg

Heidelberg, Germany