arXiv physics/03040852003-04physics.gen-phphysics.class-ph

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

Tomislav Ivezic

备注：: 16 pages, section 3.3. is added and it contains the same proof for Hestenes' and Jancewicz's E and B
DOI：: 10.1023/A:1025645428575

英文摘要：

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.

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