Special Relativity

  1. Relativistic Optics and Electromagnetism
    1. The Relativistic Doppler Effect
      1. Longitudinal Doppler Effect
        1. Source and Observer Moving Along Line of Sight
          1. Approaching Motion
            1. Receding Motion
          2. Transverse Doppler Effect
            1. Perpendicular Motion
              1. Pure Time Dilation Effect
                1. Second-Order Doppler Shift
              2. Mathematical Formulation
                1. Frequency Transformation
                  1. Wavelength Changes
                  2. Experimental Verification
                    1. Astronomical Observations
                      1. Laboratory Measurements
                    2. Relativistic Aberration of Light
                      1. Change in Apparent Direction of Light
                        1. Angular Transformations
                          1. Stellar Aberration
                          2. Mathematical Description
                            1. Angle Transformation Formulas
                              1. Velocity Dependence
                              2. Astronomical Observations
                                1. Annual Stellar Aberration
                                  1. Relativistic Corrections
                                2. Relativity and Electromagnetism
                                  1. Invariance of Maxwell's Equations
                                    1. Consistency with Special Relativity
                                      1. Lorentz Covariance
                                        1. Four-Vector Formulation
                                      2. Transformation of Electric and Magnetic Fields
                                        1. Lorentz Transformation of Fields
                                          1. Field Component Mixing
                                            1. Frame-Dependent Field Strengths
                                            2. Moving Charges and Field Observations
                                              1. Electric Field Transformations
                                                1. Magnetic Field Generation
                                              2. Magnetism as a Relativistic Effect of Electricity
                                                1. Conceptual Explanation
                                                  1. Length Contraction Effects
                                                    1. Charge Density Changes
                                                    2. Examples and Applications
                                                      1. Current-Carrying Wires
                                                        1. Moving Charge Interactions

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                                                  6. Relativistic Mechanics

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                                                  8. Applications and Experimental Confirmations