The Proof that the Standard Transformations of E and B are not the Lorentz Transformations. Clifford Algebra Formalism

摘要

In this paper it is exactly proved by using the Clifford algebra formalismthat the standard transformations of the three-dimensional (3D) vectors of theelectric and magnetic fields E and B are not the Lorentz transformations ofwell-defined quantities from the 4D spacetime but the 'apparent'transformations of the 3D quantities. Thence the usual Maxwell equations withthe 3D E and B are not in agreement with special relativity. The 1-vectors Eand B, as well-defined 4D quantities, are introduced instead of ill-defined 3DE and B.