The Proof that the Standard Transformations of E and B and the Maxwell Equations with E and B are not Relativistically Correct

2003/02/28 by Tomislav Ivezic
Physics and Astronomy · #hep-th

paper · pdf

published as Found.Phys. 33 (2003) 1339-1347 · 4 pages, the reference [11] is added and [4] and [9]are corrected, a sentence about the physical definitions of E^a and B^a is added on p.3

arxiv created 2003/03/05 · arxiv updated 2009/11/30

Abstract

In this paper it is exactly proved that the standard transformations of the three-dimensional (3D) vectors of the electric and magnetic fields E and B are not relativistically correct transformations. Thence the 3D vectors E and B are not well-defined quantities in the 4D spacetime and, contrary to the general belief, the usual Maxwell equations with the 3D E and B are not in agreement with the special relativity. The 4-vectors E^a and B^a, as well-defined 4D quantities, are introduced instead of ill-defined 3D E and B. The proof is given in the tensor and the Clifford algebra formalisms.

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