Electrodynamics in Euclidean Space Time Geometries

Abstract

In this article it is proven that Maxwell’s field equations are invariant for a real orthogonal Cartesian space time coordinate transformation if polarization and magnetization are assumed to be possible in empty space. Furthermore, it is shown that this approach allows wave propagation with finite field energy transport. To consider the presence of polarization and magnetization an alternative Poynting vector has been defined for which the divergence gives the correct change in field energy density.

Keywords

• em fields
• theory of relativity
• relativistic field transformation
• wave propagation
• ray of light
• 03.50.de
• 03.30.+p
• 03.65.pm