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Foundations of Physics

, Volume 33, Issue 9, pp 1339–1347 | Cite as

The Proof That the Standard Transformations of E and B Are Not the Lorentz Transformations

  • Tomislav Ivezić
Article

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 space-time 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.

standard transformations of E and B special relativity 

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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Tomislav Ivezić
    • 1
  1. 1.Ruder Bošković InstituteZagrebCroatia

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