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.
Similar content being viewed by others
References
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).
Corben, H. C. (1946).Phys. Rev.,69, 225.
Murai, Y. (1954).Progr. Theoret. Phys.,11, 441.
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.
Pessa, E. (1978).Bollettino Un. Mat. It.,15-B, 761.
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.
Misner, C. W., Thorne, K. S., Wheeler, J. A. (1973).Gravitation (Freeman, S. Francisco), Chaps. 3 and 4.
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.
Lichnerowicz, A. (1967).Relativistic hydrodynamics and magnetohydrodynamics (Benjamin, New York).
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.
Finzi, B. (1952).Rend. Acc. Lincei,13, fasc. 5.
Vallender, S. V. (1975).Dokl. Akad. Nauk. SSSR,221, 295.
Raigorodski, L. D. (1914).Acta Phys. Hung.,37, 133.
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00763060