Abstract
Arguments are presented which lead to the conclusion thatSU(3, 2) is the grand unification gauge group (GUGG). The gauge theory includes all known forces. We incorporated supersymmetry within the framework of the gauge theory and show how the theory may be quantized.
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References
Arnold, V. I. (1967).Funct. Anal. Appl.,1, 1.
Atiyah, M. F., (1979).Geometry of Yang Mills fields. Acc. Naz. Lincei, Scuola Norm. Sup., Pisa, 1979.
Barut, A. O., and Raczka, R. (1965).Proc. R. Soc. London Ser A287, 519.
Basonbrio, F. G. (1980).Gen. Rel. Grav.,12, 109.
Bleecker, D. (1981).Gauge Theory and Variational Principles. Addison Wesley, Reading, Massachusetts.
Borchsenius, K., and Mann, R. B. (1981).Nuovo Cim. 61A, 79.
Chaohao, Gu. (1981).Phys. Rep.,80, 251.
Chatelet, G. (1981).Lett. Math. Phys.,5, 1.
Cremmer, E., and Julia, B. (1979).Nucl. Phys., B159, 141.
Daniel, M., and Viallet, C. M. (1980).Rev. Mod. Phys.,52, 175.
Georgi, H., and Glashow, S. L. (1974).Phys. Rev. Lett.,32, 438.
Giachetti, R., Ricci, R., and Sorace, E. (1982).J. Math. Pures Appl.,4, 411.
Gilmore, R. (1974).Lie Groups, Lie Algebras and Some of Their Applications. Wiley-Interscience, New York.
Gürsey, F. (1981). InTo Fulfill a Visions, Y. Ne'eman, ed. Addison-Wesley, Reading, Massachusetts.
Helgason, S. (1978).Differential Geometry, Lie Groups and Symmetric Spaces. Academic Press, New York.
Hermann, R. (1975).Gauge Fields and Cartan-Ehresmann Connections, Part A.
Hermann, R. (1977).Quantum and Fermion Differential Geometry. Math. Sci. Press, Brookline, Massachusetts.
Hermann, R. (1978).Yang-Mills, Kaluza-Klein and The Einstein Program. Math. Sci. Press, Brookline, Massachusetts.
Hughston, L. P., and Ward, R. W., Eds. (1979).Advances in Twistor Theory, Research Notes in Mathematics No. 37. Pitman, San Francisco.
Kampfer, B., 1981.Acta Phys. Polonica, B12, 419.
Konopleva, N. P., and Popov, V. N. (1981).Gauge Fields. Harwood, New York.
Langlacker, (1981).Phys. Rep.,72, 185.
Lichnerowicz, A. (1980). InEssays in General Relativity, F. Tipler, ed. Academic, New York.
Moffat, J. W. (1981).Ann. Inst. Henri Poincaré,34, 85.
O'Raifeartaigh, L. (1965).Phys. Rev.,139B, 1052.
Pati, J., and Salam, A. (1973).Phys. Rev. D,8, 1240.
Rawnsley, J., (1979).Math. Ann.,241, 43.
Ruchti, R. (1975).Indiana U. Math. J.,24, 1099.
Segal, I. E. (1976).Mathematical Cosmology and Extragalactic Astronomy. Academic Press, New York.
Singer, I. M. (1980–81). Notes from a Seminar on the Geometric setting of the classical gauge theories, University of California, Berkeley, 1980–81.
Slansky, R. (1981).Phys. Rep.,79, 1.
Trautman, A. (1979).Czech. J. Phys. B,29, 107.
Trautman, A. (1980). Fiber bundles, gauge fields, and gravitation, inGeneral Relativity and Gravitation, Vol. 1. A. Held, ed. Plenum, New York, 1980.
Trautman, A. (1982). InGeometric Techniques in Gauge Theories R. Mantini and E. M. de Jagen, eds., LNM 926. Springer New York.
Weinberg, S. (1979).Phys. Lett.,82B, 387.
Weinberg, S. (1981). Grand unification, inTo Fulfill a Vision, Y. Ne'eman, Addison-Wesley, Reading, Massachusetts.
Wells, R. O. (1979).Bull. A. M. S. (New Series),1, 296.
Witten, E. (1982).J. Diff. Geom.,17, 661.
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Love, T.R. The geometry of grand unification. Int J Theor Phys 23, 801–815 (1984). https://doi.org/10.1007/BF02214067
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DOI: https://doi.org/10.1007/BF02214067