Abstract
An invariant correlation and a variational principle are given for the theory of connections and frames introduced in previous papers. The relation of the resultant gravitation theory to Yang's theory is clarified. The resultant equations of motion, which imply a generalized Dirac equation, are used to understand geometrically certain aspects of relativistic quantum theory. The conjecture is proposed that electrornegnetism is related to anSU(2) subgroup. The possible association of the extra generators with strong and weak nuclear forces is discussed.
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References
González-Mártin, G. (1987).Phys. Rev. D,35, 1215.
González-Mártin, G. (1987).Phys. Rev. D,35, 1225.
Weyl, H. (1918).Sitzungsber. Preuss. Akad. Wiss.,465; (19.).Space, Time, Matter, (Methuen, London), Ch. 4. Ferrari, M., and Kijowski, J. (1982).Gen. Rel. Grav.,14, 37.
Kaluza, T., (1921).Sitzungsber. Preuss. Akad. Wiss. Berlin, Phys. Math., 966
Einstein, A. (1956).The Meaning of Relativity, (Princeton University Press, Princeton, N. J., 5th ed.), p. 133.
Infeld, L., and Van der Waerden, B. L. (1933).Sitzungsber. Preuss. Akad. Wiss., Physik Math. K1, 380.
Bade, W. L., and Jehle, H. (1953).Rev. Mod. Phys.,25, 714.
Weyl, H. (1931).The Theory of Groups and Quantum Mechanics, (Dover, New York).
Carmelli, M. (1972).Ann. Phys.,71, 603.
Gonzalez-Martin, G. (1986).Acta Cient. Ven.,37, 130.
Schrödinger, E. (1929).Sitzungsber. Akad. Phys.,57, 261. Lichnerowicz, A. (1961).Comptes Rendues,252, 3742; (1961)253, 940.
Yang, C. N. (1974).Phys. Rev. Lett.,33, 445.
Møller, C. (1978).K. Dan. Vidensk Selsk. Mat. Fys. Medd.,39, 1.
Porteous, I. (1969).Topological Geometry (Van Nostrand, London), Ch. 13.
Lichnerowicz, A. (1972).Théorie Globale des Connexions et des Groupes d'Holonomie (Ed. Cremonese, Rome), p. 101.
Trautman, A. (1981). Warsaw University preprint IFT/4/84.
Fairchild, E. (1976).Phys. Rev. D,14, 384.
Pavelle, R. (1975).Phys. Rev. Lett,34, 1114; (1976).Phys. Rtv. Lett.,37, 961.
Thompson, A. H. (1975).Phys. Rev. Lett.,34, 507.
Zee, A. (1982).Unity of Forces in the Universe (World Scientific, Singapore), vol. 1, p. 4.
Yukawa, H. (1935).Proc. Phys. Math. Soc. Japan,17, 48.
Fermi, E. (1934).Z. Physik,88 161; (1934).Nuovo Cimento 11, 1.
Jones, G. A. (1987).The Properties of Nuclei (Clarendon Press, Oxford), p. 29.
Faddeev, L. D., and Slavnov, A. A. (1980).Gauge Fields, transi. D. B. Pontecorvo (Benjamin/Cummings, Reading), p. 207.
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González-Martín, G. Physical geometry: A unified theory of gravitation, electromagnetism and other interactions. Gen Relat Gravit 22, 481–500 (1990). https://doi.org/10.1007/BF00756223
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DOI: https://doi.org/10.1007/BF00756223