Skip to main content
Log in

A new unified field theory based on the conformal group

  • Research Articles
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We develop here a new unified theory of the electromagnetic and gravitational field, based on a six-dimensional generalization of Maxwell's equations; additional space-time coordinates are interpreted only as mathematical tools in order to obtain a linear realization of the four-dimensional conformal group.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Kilmister, C. W., and Stephenson, G. (1954).Suppl. Nuovo Cimento, Ser. IX, No. 1, 91; also Tonnelat, M. A. (1965).Les théories unitaires de l'électromagnétisme et de la gravitation (Gauthier-Villars, Paris).

    Google Scholar 

  2. Corben, H. C. (1946).Phys. Rev.,69, 225.

    Google Scholar 

  3. Murai, Y. (1954).Progr. Theoret. Phys.,11, 441.

    Google Scholar 

  4. Pavšič, M. (1974).Int. J. Theoret. Phys.,9, 229; (1975).Ibid.,14, 299; Caldirola, P., Pavšič, M., Recami, E. (1978).Nuovo Cimento B,48, 205; Caldirola, P., Recami, E. (1979).Lett. Nuovo Cimento,24, 565, and references quoted therein.

    Google Scholar 

  5. Pessa, E. (1978).Bollettino Un. Mat. It.,15-B, 761.

    Google Scholar 

  6. Schouten, J. A. (1949).Rev. Mod. Phys.,21, 421; Ingraham, R. L. (1952).Nuovo Cimento A,9, 886; (1954).Nuovo Cimenta A,12, 825; Fulton, T. Rohrlich, F., and Witten, L. (1962).Rev. Mod. Phys., 34,442; Prasad, R. (1965).Nuovo Cimento A,38, 1921; Kastrup, H. A. (1966).Phys. Rev. A,142, 1060; Castell, L. (1966).Nuovo Cimento A,46, 1; Barut, A. O., and Hagen, R. B. (1972).Ann Phys.,71, 519.

    Google Scholar 

  7. Misner, C. W., Thorne, K. S., Wheeler, J. A. (1973).Gravitation (Freeman, S. Francisco), Chaps. 3 and 4.

    Google Scholar 

  8. Arcidiacono, G. (1955).Rend. Acc. Lincei,18, 515, 631; (1958).Collect. Math.,10, 85; (1973).Relatività e Cosmologia (Veschi, Roma); (1978).Gen. Rel. Grav., 9, 949.

    Google Scholar 

  9. Lichnerowicz, A. (1967).Relativistic hydrodynamics and magnetohydrodynamics (Benjamin, New York).

    Google Scholar 

  10. Robertson, H. P. (1933).Rev. Mod. Phys.,5, 62; Gürsey, F. (1964). “Introduction to the de Sitter Group,” inGroup Theoretical Concepts and Methods in Elementary Particle Physics Ed. Gürsey, F. (Gordon and Breach, London), pp. 365–389.

    Google Scholar 

  11. Finzi, B. (1952).Rend. Acc. Lincei,13, fasc. 5.

  12. Vallender, S. V. (1975).Dokl. Akad. Nauk. SSSR,221, 295.

    Google Scholar 

  13. Raigorodski, L. D. (1914).Acta Phys. Hung.,37, 133.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pessa, E. A new unified field theory based on the conformal group. Gen Relat Gravit 12, 857–862 (1980). https://doi.org/10.1007/BF00763060

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00763060

Keywords

Navigation