Advertisement

Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

A modified Lorentz theory as a test theory of special relativity

  • 41 Accesses

  • 5 Citations

Abstract

A modified Lorentz theory (MLT) based on the generalized Galilean transformation has recently received attention. In the framework of MLT, some explicit formulas dealing with the one-way velocity of light, slow-clock transport and the Doppler effect are derived in this paper. Several typical experiments are analyzed on this basis. The results show that the empirical equivalence between MLT and special relativity is still maintained to second order terms. We confirm recent findings of other works that predict the MLT might be distinguished from special relativity at the third order by Doppler centrifuge experiments capable of a fractional frequency detection threshold of 10−15.

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

References

  1. 1.

    H. Erlichson,Am. J. Phys. 41, 1068 (1973).

  2. 2.

    G. F. Smootet al., Phys. Rev. Lett. 39, 898 (1977); P. M. Lubinet al., Phys. Rev. Lett. 50, 616 (1983).

  3. 3.

    R. Mansouri and R. V. Sexl,Gen. Relativ. Gravit. 8, 497, 515, 809 (1977).

  4. 4.

    F. R. Tangherlini,Suppl. Nuovo Cimento 20, 1 (1961).

  5. 5.

    T. Sjödin,Nuovo Cimento 51B, 229 (1979).

  6. 6.

    T. Chang,Phys. Lett. 70A, 1 (1979);Found. Phys. 13, 1013, 1237 (1983);18, 651 (1988).

  7. 7.

    M. F. Podlaha,Lett. Nuovo Cimento 28, 216 (1980).

  8. 8.

    J. Rembelinski,Phys. Lett. 78A, 33 (1980).

  9. 9.

    J. Vargas,Found. Phys. 11, 235 (1981);12, 889 (1982);14, 625 (1984);16, 1089 (1986) (with D. G. Torr).

  10. 10.

    G. Cavalleri and G. Spinelli,Found. Phys. 13, 1221 (1983).

  11. 11.

    W. Petry,Astrophys. & Space Sci. 24, 63 (1986).

  12. 12.

    P. Havas,Rev. Mod. Phys. 36, 938 (1964);Gen. Relativ. Gravit. 19, 435 (1987).

  13. 13.

    A. K. A. Maciel and J. Tiomno,Phys. Rev. Lett. 55, 143 (1985).

  14. 14.

    For example, J. P. Hsu has studied a theory with “common time”; see J. P. Hsu,Found. Phys. 8, 371 (1978); J. P. Hsuet al., Found. Phys. 10, 57 (1980).

  15. 15.

    This transformation was first introduced by H. A. Lorentz in 1904; seeThe Principle of Relativity (Dover, New York, 1923), p. 14.

  16. 16.

    W. S. N. Trimmeret al., Phys. Rev. D 8, 3321 (1973).

  17. 17.

    A. Brillet and J. L. Hall,Phys. Rev. Lett. 42, 549 (1979).

  18. 18.

    H. J. Hayet al., Phys. Rev. Lett. 4, 165 (1960).

  19. 19.

    D. C. Champeny and P. B. Moon,Proc. Phys. Soc. 77, 350 (1961); D. C. Champenyet al., Phys. Lett. 7, 241 (1963).

  20. 20.

    H. E. Ives and G. R. Stilwell,J. Opt. Soc. Am. 28, 215 (1938);31, 369 (1941).

  21. 21.

    E. Riiset al., Phys. Rev. Lett. 60, 81 (1988).

  22. 22.

    R. F. C. Vessot, M. W. Levine,et al., Phys. Rev. Lett. 45, 2081 (1980).

  23. 23.

    J. Vargas and D. G. Torr, submitted toPhys. Rev., 1988.

  24. 24.

    C. Møller,The Theory of Relativity, 2nd ed. (Oxford University Press, Oxford, 1972), p. 490.

  25. 25.

    D. R. Gagnon, “An experiment to test for violations of special relativity using the Mössbauer effect,” Thesis, Utah State University, 1984.

  26. 26.

    More researchers working on tachyons believe in the possibility of reconciling tachyons and SR. This kind of research is well summarized in the paper by E. Recami,Found. Phys. 8, 329 (1978);Riv. Nuovo Cimento 9, Ser. 3, No. 6, 1 (1986).

  27. 27.

    T. Chang,J. Phys. A 12, L203 (1979).

  28. 28.

    G. Spinelli,Nuovo Cimento 75B, 11 (1983).

  29. 29.

    T. Sjödin and F. Heylighen,Lett. Nuovo Cimento 44, 617 (1985).

  30. 30.

    T. Chang and D. G. Torr,Found. Phys. Lett. 1, this issue (1988).

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Chang, T., Torr, D.G. & Gagnon, D.R. A modified Lorentz theory as a test theory of special relativity. Found Phys Lett 1, 353–372 (1988). https://doi.org/10.1007/BF00696361

Download citation

Key words

  • special relativity
  • Lorentz ether theory
  • clock resynchronization
  • generalized Galilean transformation