Skip to main content
SpringerLink
Log in

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

  • Published:
Foundations of Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. A. Einstein, Ann. Physik. 17, 891(1905), translated by W. Perrett and G. B. Jeffery, in The Principle of Relativity (Dover, New York).

    Google Scholar 

  2. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1977), 2nd edn.

    Google Scholar 

  3. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1979), 4th edn.

    Google Scholar 

  4. T. Ivezić, Found. Phys. 31, 1139(2001).

    Google Scholar 

  5. T. Ivezić, Ann. Fondation Louis de Broglie 27, 287(2002).

    Google Scholar 

  6. T. Ivezić, hep-th/0207250; hep-ph/0205277.

  7. R. M. Wald, General Relativity (The University of Chicago Press, Chicago, 1984).

    Google Scholar 

  8. T. Ivezić, Found. Phys. Lett. 15, 27(2002); physics/0103026; physics/0101091.

    Google Scholar 

  9. F. Rohrlich, Nuovo Cimento B 45, 76(1966).

    Google Scholar 

  10. A. Gamba, Amer. J. Phys. 35, 83(1967).

    Google Scholar 

  11. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1970).

    Google Scholar 

  12. T. Ivezić, Found. Phys. Lett. 12, 105(1999); T. Ivezić, Found. Phys. Lett. 12, 507 (1999).

    Google Scholar 

  13. H. N. Núñez Yépez, A. L. Salas Brito, and C. A. Vargas, Revista Mexicana de Física 34, 636(1988).

    Google Scholar 

  14. S. Esposito, Found. Phys. 28, 231(1998).

    Google Scholar 

  15. D. Hestenes, Space-Time Algebra (Gordon & Breach, New York, 1966).

    Google Scholar 

  16. B. Jancewicz, Multivectors and Clifford Algebra in Electrodynamics (World Scientific, Singapore, 1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ruder Bošković Institute, P.O.B. 180, 10002, Zagreb, Croatia

    Tomislav Ivezić

Authors
  1. Tomislav Ivezić
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ivezić, T. The Proof That the Standard Transformations of E and B Are Not the Lorentz Transformations. Foundations of Physics 33, 1339–1347 (2003). https://doi.org/10.1023/A:1025645428575

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025645428575

Search

Navigation