The Proof that the Standard Transformations of E and B are not the Lorentz Transformations. Clifford Algebra Formalism
General Physics
2022-10-12 v2 Classical Physics
Abstract
In this paper it is exactly proved by using the Clifford algebra formalism that the standard transformations of the three-dimensional (3D) vectors of the electric and magnetic fields E and B are not the Lorentz transformations of well-defined quantities from the 4D spacetime but the 'apparent' transformations of the 3D quantities. Thence the usual Maxwell equations with the 3D E and B are not in agreement with special relativity. The 1-vectors E and B, as well-defined 4D quantities, are introduced instead of ill-defined 3D E and B.
Keywords
Cite
@article{arxiv.physics/0304085,
title = {The Proof that the Standard Transformations of E and B are not the Lorentz Transformations. Clifford Algebra Formalism},
author = {Tomislav Ivezic},
journal= {arXiv preprint arXiv:physics/0304085},
year = {2022}
}
Comments
16 pages, section 3.3. is added and it contains the same proof for Hestenes' and Jancewicz's E and B