Special Relativity and Its Experimental Foundation

The following sections are included:

• PREFACE

• CONTENTS

The following sections are included:

• Introduction

• Definition of Inertial Reference Frame
  • Definition of Space Coordinates
  • Definitions of Time Coordinate
  • Definition of “Inertial” Frames

• Simultaneity and Clock Synchronization
  • Newtonian Absolute Simultaneity
  • Einstein's Definition of Simultaneity
  • Edwards' Definition of Simultaneity
  • Coordinate Transformation Between Einstein and Edwards Frames
  • Robertson's Definition of Simultaneity
  • Mansouri-Sexl's Definition of Simultaneity
  • Coordinate Transformation Between Robertson and MS Frames

• Principle of Relativity

• Velocity and Simultaneity

The following sections are included:

• Galilean Transformation

• Lorentz Transformation

• Four-Dimensional Minkowski Space—Time

• Einstein's Law of the Addition of Velocities

• Transformation of Accelerations

• Infinitesimal Lorentz Transformation

• Simultaneity and Causality

• Contraction of a Moving Body

• Time Dilation of a Moving Clock

• Aberration and Doppler Effect

• The Thomas Precession

The following sections are included:

• Mass, Momentum, Force, Work and Energy

• Transformations of Mass, Momentum, Energy and Force

The following sections are included:

• The Fundamental Equations

• Relativistic Transformations of Electromagnetic Quantities

• Propagation of Electromagnetic Waves in a Medium

• Reflection and Refraction of Electromagnetic Waves

The following sections are included:

• Covariant Form of Maxwell's Field Equations

• Proca's Vector Field Equations

• Dispersion in Vacuum

The following sections are included:

• Introduction

• One-Way and Two-Way Velocities of Light

• Edwards Transformation

• Anisotropic Four-Dimensional Space—Time

• Comparison Among Edwards' Theory and Experiments
  • Edwards' law of the Addition of Velocities
  • On Reciprocity of Relative Velocities
  • Time Dilation of a Moving Clock
  • The Römer Experiment
  • Aberration and Doppler Effect
  • Contraction of a Moving Body
  • Conclusion

• On Dynamics of Edwards' Theory

The following sections are included:

• Introduction

• Robertson's Test Theory
  • Robertson Transformation
  • Comparison among Robertson and Lorentz Transformations
  • Four-Dimensional Space–Time
  • Kinematical Effects
  • Comparison between Robertson's Theory and Experiments

• The Mansouri–Sexl (MS) Transformation

• Comparison between the MS Transformations and Experiments
  • MS' Law of the Addition of Velocities
  • Time Dilation
  • The Römer experiment and Slow Transport of Clocks
  • Transverse Doppler Effect and Mössbauer Rotor Experiment
  • Anisotropic Four-Dimensional Space–Time
  • Dynamics

• Relationship among Lorentz and Generalized Transformations

• Comparison of Different Conventions

The following sections are included:

• Introduction

• Tests of Directionality
  • The Closed-Path Experiments
  • The One-Way Experiments

• The Experiments with Moving Sources of Light
  • The Astronomical Verification
  • The Laboratory Evidences

• Summary of the Tests of the Constancy of the Velocity of Light

• Tests of the Principle of Special Relativity

The following sections are included:

• The Problem of Clock Paradox

• Around-the-World Atomic Clocks

• Doppler Effect
  • The Hydrogen Canal Ray Experiment
  • Doppler Effect of γ-Rays from Capture Reactions
  • The Doppler Effect Experiments Based on Mössbauer Effect
  • Other Measurements of the Second-Order Doppler Effect

• Lifetime Dilation of Moving Mesons
  • The μ-Mesons in the Cosmic Rays
  • Measurements of the Lifetime of the μ-Mesons in the Cosmic Rays
  • Measurements of the Lifetime of the Mesons Produced by Accelerators

The following sections are included:

• Introduction

• Electromagnetic Induction of Moving Bodies
  • Unipolar Induction
  • Magnetic Effects of Moving Bodies
  • The Wilson–Wilson Experiment

• The Fresnel Drag Effect
  • Fizeau's and Zeeman's Experiments
  • The Transverse “Drag” Experiment
  • Other “Drag” Experiments

• Reflection at Moving Mirrors

The following sections are included:

• The Test of Variation of Mass with Velocity
  • Deflection of Charged Particles in Electric and Magnetic Fields
  • High Energy Synchro-Cyclotron
  • Other Measurements
  • The Measurements of Flight-Time for Moving Particles
  • Elastic Collisions
  • The Fine Structure of Atomic Spectra

• Relation of Mass and Energy

The following sections are included:

• Dispersion Effect of Velocity of Light in Vacuum
  • Measurements of the Velocity of Light
  • Arrival Time of Light Ray from Stars

• The Tests of Coulomb's Law

• The Magnetostatic Effect of Photon Mass
  • Schrödinger's (External Field) Method
  • Altitude-Dependence of Geomagnetic Field
  • Eccentric Dipole or “Vertical Current” Effect

• The Magnetohydrodynamic Effects
  • Hydromagnetic Waves
  • Dissipation of the Interplanetary Magnetic Field
  • Instability of Interstellar Plasma

• Other Methods

• Summary

The following sections are included:

• The Fine Structure of Atomic Spectra

• Measurements for (g − 2) Factor of Leptons

The following sections are included:

• REFERENCES

• INDEX