New Transformation Equations and the Electric Field Four-vector

Third edition

The Lorentz transformation equations are replaced by a new set of transformation equations, the electric field is described by a four-vector, and the analog of Maxwell's electromagnetic field tensor contains nonzero terms along the main diagonal, causing any relation that contains its components to include extra terms.

Copyright © 1999-2000 David E. Rutherford
All Rights Reserved

Third edition published: September 22, 1999
Last revised: June 26, 2000

• Abstract
• Introduction
• The Spacetime Interval
• The Spacetime Vector
• Proper Time and Length
• The Velocity Four-vector
• The Transformation Equations
• Transformation of Length
• Transformation of Time
• Transformation of Velocity
• The Potential Field Four-vector
• The Potential Field Tensor
• The Electric Field Four-vector
• The Invariance of Charge Density
• Transformation of Charge
• The Current Four-vector
• The Field Equations
• The Force Equations
• The Generalized Electric Field
• The Electric Field Tensor
• The Divergence of the Current Density
• Energy and Momentum
• The Spacetime Derivative
• Wave Equations
• Covariant Formulation in General Coordinates
• Conclusions
• Appendix A: Full Article (28 pages)
• Appendix B: Revision History (since December 7, 1999)