International Journal of Theoretical Physics

, Volume 31, Issue 6, pp 1063–1073 | Cite as

The ultimate speed implied by theories of Weber's type

  • A. K. T. Assis
  • R. A. Clemente


As in the last few years there has been a renewed interest in the laws of Ampère for the force between current elements and of Weber for the force between charges, we analyze the limiting velocity which appears in Weber's law. Then we make the same analysis for Phipps' potential and for generalizations of it. Comparing the results with the relativistic calculation, we obtain that these theories can yieldc for the ultimate speed of the charges or for the ultimate relative speed between the charges but not for both simultaneously, as in the case in the special theory of relativity.


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  1. Ampère, A. M. (1925).Memoirs de l'Academie des Sciences,6, 175.Google Scholar
  2. Ampère, A. M. (1958).Theorie Mathematique des Phenomenes Electrodynamiques, Albert Blanchard, Paris.Google Scholar
  3. Angotti, J. A. P., Caldas, I. L., Delizoicov Neto, D., Rüdinger, E., and Pernambuco, M. M. C. A. (1978).American Journal of Physics,46, 1258.Google Scholar
  4. Aspden, H. (1985a).Physics Letters A,111, 22.Google Scholar
  5. Aspden, H. (1985b).Nuovo Cimento Letters,44, 689.Google Scholar
  6. Aspden, H. (1986).IEEE Transactions on Plasma Science,PS-14, 282.Google Scholar
  7. Aspden, H. (1987).Physics Letters A,120, 80.Google Scholar
  8. Assis, A. K. T. (1989a).Physics Letters A,136, 277.Google Scholar
  9. Assis, A. K. T. (1989b).Foundations of Physics Letters,2, 301.Google Scholar
  10. Barbour, J. B., and Bertotti, B. (1977).Nuovo Cimento B,38, 1.Google Scholar
  11. Barbour, J. B., and Bertotti, B. (1982).Proceedings of the Royal Society A,382, 295.Google Scholar
  12. Bertozzi, W. (1964).American Journal of Physics,32, 551.Google Scholar
  13. Christodoulides, C. (1987).Journal of Physics A,20, 2037.Google Scholar
  14. Cornille, P. (1989).Journal of Physics A,22, 4075.Google Scholar
  15. Graneau, P. (1982a).Nature,295, 311.Google Scholar
  16. Graneau, P. (1982b).Journal of Applied Physics,53, 6648.Google Scholar
  17. Graneau, P. (1983).Physics Letters A,97, 253.Google Scholar
  18. Graneau, P. (1984).Journal of Applied Physics,55, 2598.Google Scholar
  19. Graneau, P. (1985).Ampère-Neumann Electrodynamics of Metals, Hadronic Press, Nonantum.Google Scholar
  20. Graneau, P. (1986).Fortschritte der Physik,34, 457.Google Scholar
  21. Graneau, P. (1987a).Journal of Physics D,20, 391.Google Scholar
  22. Graneau, P. (1987b).Journal of Applied Physics,62, 3006.Google Scholar
  23. Graneau, P. (1989a).Electronics & Wireless World,1989(June), 556.Google Scholar
  24. Graneau, P. (1989b).Physics Letters A,137, 87.Google Scholar
  25. Graneau, P., and Graneau, P. N. (1985).Applied Physics Letters,46, 468.Google Scholar
  26. Graneau, P., and Graneau, P. N. (1986).Nuovo Cimento D,7, 31.Google Scholar
  27. Grassmann, H. G. (1845).Poggendorf's Annalen Physik Chemie,64, 1.Google Scholar
  28. Jolly, D. C. (1985).Physics Letters A,107, 231.Google Scholar
  29. Lucretius (1951).On the Nature of the Universe, transl. R. Latham, Penguin, Harmondsworth.Google Scholar
  30. Maxwell, J. C. (1954).A Treatise on Electricity and Magnetism, Vol. 2, Dover, New York, Chapter XXIII.Google Scholar
  31. Mignani, R., and Recami, E., eds. (1988).Classical Tachyons: Source Books, Vols. 1–3, Hadronic Press, Nonantum.Google Scholar
  32. Miller, A. I. (1981).Albert Einstein's Special Theory of Relativity, Addison-Wesley, Reading, Massachusetts.Google Scholar
  33. Moon, P., and Spencer, D. E. (1954).Journal of the Franklin Institute,257, 203, 305, 369.Google Scholar
  34. Moyssides, P. G., and Pappas, P. T. (1986).Journal of Applied Physics,59, 19.Google Scholar
  35. Nasilowski, J. (1984).IEEE Transactions on Magnetics,20, 2158.Google Scholar
  36. Nasilowski, J. (1985).Physics Letters A,111, 315.Google Scholar
  37. Pappas, P. T. (1983).Nuovo Cimento,76B, 189.Google Scholar
  38. Pappas, P. T. (1985).Physics Letters A,111, 193.Google Scholar
  39. Peoglos, V., (1988).Journal of Physics D,21, 1055.Google Scholar
  40. Phipps, Jr., T. E. (1990).Physics Essays,3, 414.Google Scholar
  41. Phipps, Jr., T. E. (1990).Apeiron,8, 8.Google Scholar
  42. Recami, E. (1987).Foundations of Physics,17, 239.Google Scholar
  43. Ternan, J. G. (1985a).Applied Physics Communications,57, 1473.Google Scholar
  44. Ternan, J. G. (1985b).Journal of Applied Physics,57, 1743.Google Scholar
  45. Ternan, J. G. (1985c).Journal of Applied Physics,58, 3639.Google Scholar
  46. Ternan, J. G. (1986).Physics Letters A,115, 230.Google Scholar
  47. Tricker, R. A. R. (1965).Early Electrodynamics-The First Law of Circulation, Pergamon, NewYork.Google Scholar
  48. Von Helmholtz, H. (1870).Zeitschrift für Mathematik,72, 57.Google Scholar
  49. Von Heimholtz, H. (1872).Philosophical Magazine,44, 530.Google Scholar
  50. Von Helmholtz, H. (1873).Zeitschrift für Mathematik,75, 35.Google Scholar
  51. Von Helmholtz, H. (1874).Zeitschrift für Mathematik,78, 273.Google Scholar
  52. Von Helmholtz, H. (1875).Monatsberichte Akademie der Wissenschaften zu Berlin,1875, 400–418.Google Scholar
  53. Weber, W. (1846).Abhandlungen Leibnizens Gesellschaft (Leipzig), p. 316.Google Scholar
  54. Weber, W. (1848).Poggendorf's Annalen,73, 229 [English translation, inTaylor's Scientific Memoirs, V, p. 489 (1852)].Google Scholar
  55. Weber, W. (1893).Wilhelm Weber's Werke, Vols. 1–6, Springer, Berlin.Google Scholar
  56. Wesley, J. P. (1987).Speculations in Science and Technology,10, 47.Google Scholar
  57. Wesley, J. P. (1988).Journal of Physics D,22, 849.Google Scholar
  58. Whitney, C. K. (1988).Physics Letters A,128, 232.Google Scholar
  59. Whittaker, E. T. (1973).A History of the Theories of Aether and Electricity-The Classical Theories, Humanities Press, New York.Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • A. K. T. Assis
    • 1
  • R. A. Clemente
    • 2
  1. 1.Departamento de Raios Cósmicos e Cronologia, Instituto de FísicaUniversidade Estadual de CampinasCampinas, SPBrazil
  2. 2.Departamento de Eletrônica Quântica, Instituto de FísicaUniversidade Estadual de CampinasCampinas, SPBrazil

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