Abstract
After presenting the foundation and the basic equations of a new 5-dimensional projective unified field theory, the problem of incorporating spinor fields into this framework is investigated. Apart from Pauli's method, we propose a new approach which leads to a consistent 5-dimensional spinor theory with a series of physical consequences (variability of the 4-dimensional “rest mass,” instability of 4-dimensional “stationary states,” etc.).
Similar content being viewed by others
References
Th. Kaluza,Sitzungsber. Preuss. Akad. Wiss., Phys.-Math. Klasse, 966 (1921).
O. Klein,Z. Phys. 37, 895 (1926).
E. Schmutzer,Relativistische Physik (Teubner-Verlag, Leipzig, 1968).
P. G. Bergmann,Ann. Math. 49, 255 (1948);Int. J. Theor. Phys. 1, 25 (1968).
P. A. M. Dirac,Nature (London) 139, 323 (1937).
P. Jordan,Z. Phys. 124, 608 (1947);Astron. Nachr. 276, 193 (1948); P. Jordan and Cl. Müller,Z. Naturforsch. Teil A 2, 1 (1947);Schwerkraft und Weltall (Vieweg, Braunschweig, 1955).
Y. Thiry,Compt. Rend. 226, 216 (1948).
E. Schmutzer,Z. Phys. 149, 329 (1957);154, 312 (1959);Ann. Phys. 1, 136 (1958);Z. Naturforsch. Teil A 14, 486, 489 (1959); E. Schmutzer and A. Kühnel,Ann. Phys. 7, 243 (1961).
E. Schmutzer, inProceedings of the 9th International Conference on General Relativity and Gravitation, E. Schmutzer, ed. (Deutscher Verlag der Wissenschaften, Berlin, and Cambridge University Press, 1983);Exp. Tech. Phys. 30, 299 (1982); inUnified Field Theories of More than Four Dimensions including Exact Solutions, V. de Sabbata and E. Schmutzer, eds. (World Scientific, Singapore 1983).
Yu. S. Vladimirov,Frames of Reference in the Theory of Gravitation (Energoizdat, Moscow, 1982) (in Russian).
E. Schmutzer,Z. Naturforsch. Teil A 15, 831 (1960).
W. Pauli,Ann. Phys. 18, 337 (1933); G. Ludwig,Fortschritte der projektiven Relativitätstheorie (Vieweg, Braunschweig, 1951).
Author information
Authors and Affiliations
Additional information
Dedicated to Prof. Peter Bergmann on the occasion of this 70th birthday.
Rights and permissions
About this article
Cite this article
Schmutzer, E. Spinor matter in a particular 5-dimensional projective unified field theory. Found Phys 15, 553–569 (1985). https://doi.org/10.1007/BF01882482
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01882482