What is it about?
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.
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Why is it important?
The Euclidean or better the orthogonal Cartesian space time is advantageous due to the simple orthogonal nature. Showing that Maxwells field equations are invariant and wave propagation is possible for Euclidean space time is very exciting. The results shown give a detailed view of how electromagnetic waves look like, which is not possible with plane waves. The new approach behind this is the explanation of bounded wave propagation by polarization of the empty space.
Perspectives
It is fascinating that everything worked out so well with only the assumption of allowing polarization of the empty space. Noticing that vacuum polarization is seen as a possible solution to describe gravitational phenomena as well, I believe the paper is a first step towards a better understanding of the reasons behind the physical behaviour experienced.
Jörn Schliewe
IEEE
Read the Original
This page is a summary of: Electrodynamics in Euclidean Space Time Geometries, Open Physics, January 2019, De Gruyter,
DOI: 10.1515/phys-2019-0077.
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