Abstract
The physical meaning of gauge groups in bimetrical, Riemannian, and Hermitian theories of gravitation is discussed. In Hermitian relativity, Einstein's A-invariance means a super-gauge group which characterizes the Einstein-Schrödinger equations as the only nondegenerate general-relativistic field theory.
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References
P. G. Bergmann, “General Relativity,” inHandbuch der Physik (Springer-Verlag, Heidelberg, 1959).
P. G. Bergmann, “Unitary Field Theories, Yesterday, Today, Tomorrow,” inEinstein-Centenarium, H.-J. Treder, ed. (Akademie-Verlag, Berlin, 1979).
J. L. Synge,Relativity: The Special Theory (North-Holland, Amsterdam, 1956).
P. A. M. Dirac,Science News Lett. 1, October 30, 1948.
H. Hertz,Ann. Phys. (Leipzig) 36, 1 (1889).
C. Møller, “Die Energie abgeschlossener Systeme in der allgemeinen Relativitätstheorie,” inMax-Planck-Festschrift, B. von Kockel, ed. (Deutscher Verlag der Wissenschaft, Berlin, 1958), pp. 139–153.
P. von Freud,Ann. Math. Princeton 40, 417 (1939).
A. Einstein,Ann. Math. Princeton 46, 578 (1945).
A. Einstein,Generalized Theory of Gravitation (Appendix II ofThe Meaning of Relativity) (Princeton University Press, Princeton, 1950), 3rd edn.
A. Einstein,Sitzungsber. Preuss. Akad. Wiss., Phys.-Math. Klasse, (1923), p. 137.
L. P. Eisenhart,Non-Riemannian Geometry (American Mathematical Society, New York, 1927).
A. Einstein, “Extension du group relativiste,” inL. de Broglie: Physicien et Penseur (Gauthier-Villars, Paris, 1953), pp. 337–342.
E. Schrödinger,Space-Time Structure (Cambridge University Press, Cambridge, 1950).
A. S. Eddington,Relativitätstheorie in mathematischer Behandlung (Springer-Verlag, Berlin, 1923).
H.-J. Treder,Ann. Phys. (Leipzig) 40, 375 (1975).
H.-J. Treder, inOld and New Questions in Physics, Cosmology, Philosophy, and Theoretical Biology, Alwyn van der Merwe, ed. (Plenum Press, New York, 1983).
H.-J. Treder, H.-H. von Borzeszkowski, A. van der Merwe, and W. Yourgrau,Fundamental Principles of General Relativity Theory (Plenum Press, New York, 1980).
A. Einstein,Can. J. Math. 2, 120 (1950).
H.-J. Treder,Ann. Phys. (Leipzig) 19, 369 (1957).
Additional references on unified field theories and related topics
H.-J. Treder and E. Kreisel,Int. J. Theor. Phys. 15, 67 (1976).
H.-J. Treder, “Super-Symmetry and Einstein's Extension of the Relativistic Group,” inWoprosi Fiziki i Evolutsii (Armenian Academy of Sciences, Yerevan, 1978).
H.-J. Treder and H.-H. von Borzeszkowski, “Eddington's Numbers and Quantum Gravity,” inEddington Centenary Symposium on Relativity and Cosmology, T. M. Karade and V. de Sabbata, eds. (Nagpur, 1984);Int. J. theor. Phys. 8, 219 (1983).
Additional references on tetrad theories and related topics
H.-J. Treder, ed.,Relativitätstheorie und Aquivalenzprinzip (Akademie-Verlag, Berlin, 1971).
H.-J. Treder and H.-H. von Borzeszkowski,Int. J. Theor. Phys. 4, 295 (1971).
A. Mercier, H.-J. Treder, and W. Yourgrau,On General Relativity (Akademie-Verlag, Berlin, 1979).
E. Kreisel,Ann. Phys. (Leipzig) 36, 25 (1980);37, 301 (1980);37, 360 (1980);39, 380 (1982).
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Treder, HJ. On the physical meaning of gauge and super-gauge in general-relativistic field theories. Found Phys 15, 579–604 (1985). https://doi.org/10.1007/BF01882484
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DOI: https://doi.org/10.1007/BF01882484