A Broader View of Relativity

  • General Implications of Lorentz and Poincare Invariance
  • The Historical and Physical Context of Relativity Theory
    • Introduction and Overview
    • Space, Time and Inertia! Frames
    • The Nontrivial Pursuit of Earth’s Absolute Motion
      • Newton’s frame of absolute rest
      • Measuring Earth’s velocity
    • On the Right Track: Voigt, Lorentz, and Larmor
    • The Contributions of Poincare
    • 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
    • Common Relativity
    • Experimental Tests I
    • Experimental Tests II
    • Group Properties of Taiji Relativity and Common Relativity
    • Invariant Actions in Relativity Theories and Truly Fundamental Constants
    • Common Relativity and Many-Body Systems
  • The Role of the Principle of Relativity in the Physics of Accelerated Frames
  • Common Relativity and the 3K Cosmic Microwave Background
  • Common Relativity and Quantum Mechanics
  • Common Relativity and Fuzzy Quantum Field Theory
  • Extended Relativity: A Weaker Postulate for the Speed of Light
  • The Principle of Limiting Lorentz and Poincare Invariance
  • Extended Lorentz Transformations for Frames with Constant-Linear-Accelerations
  • Physical Properties of Spacetime in Accelerated Frames
    • A general transformation for a CLA frame with an arbitrary (beta(w)
    • The singular wall and horizons in the Wu transformation
    • Generalized M0ller-Wu-Lee transformation for an accelerated frame
    • Decay-length dilations due to particle acceleration
  • Extended Lorentz Transformations for Accelerated Frames and a Resolution to the ” Two-Spaceship Paradox
  • Dynamics of Classical and Quantum Particles in Constant-Linear-Acceleration Frames
  • Quantizations of Scalar, Spinor, and Electromagnetic Fields In Constant-Linear-Acceleration Frames
  • Group and Lie Algebra Properties of Accelerated Spacetime Transformations
  • Coordinate Transformations for Frames with a General-Linear Acceleration
  • A Taiji Rotational Transformation with Limiting 4-Dimensional Symmetry
  • Appendices
    • A. – Systems of Units and the Development of Relativity Theories
    • B. – Can one Derive the Lorentz Transformation from Precision Experiments
    • C – Quantum Electrodynamics in Both Linearly Accelerated and nertial Frames
    • D. – Yang-Mills Gravity with Translation Gauge Symmetry in Inertial and Non-inertial Frames