Abstract
Following a heuristic modification of the principle of inertia and the principle of equivalence, a higher-dimensional metric theory is constructed on the manifold of the SO(3, 2) De Sitter group which allows us to treat structureless and spinning particles on the same footing. A dimensional analysis of the physical magnitudes is performed.
Similar content being viewed by others
References
P. A. M. Dirac,Ann. Math. 36, 3 657 (1935).
E. Lubkin, inRelativity and Gravitation, A. Peres and C. C. Kuper, eds. (Gordon and Breach, New York, 1971).
Ch. Fronsdahl,Rev. Mod. Phys. 37, 221 (1965);Phys. Rev. D 12, 3819 (1975).
L. Halpern, “A Geometrical Theory of Spin Motion,”Int. J. Theor. Phys. 23, 843 (1984).
L. Halpern,Proceedings of the Marcel Grossman Meeting, Trieste, 1979 R. Ruffini, ed. (North-Holland, Amsterdam, 1982);Int. J. Theor. Phys. 21, 781 (1982);Physics and Contemporary Needs, Vol. 5, Riazuddin and A. Quadir, eds. (Plenum, New York, 1983).
Th. Kaluza,Sitzungsber. Preuss. Akad. Berlin. p. 966 (1921).
O. Klein,Z. Phys. 37, 895 (1926).
E. Wigner,Proc. Natl. Acad. Sci. USA 36, 184 (1950).
T. Philips and E. Wigner, inGroup Theory and Its Applications, E. Loebl, ed. (Academic Press, London, 1968).
N. Rosen,Phys. Rev. 57, 147 (1940);57, 150 (1940).
P. Teyssandier and P. Tourence,J. Math. Phys. 24, 2793 (1983).
L. Rosenfeld,Mem. Acad. R. Belg. Sci. 18, (1940).
A. Einstein and A. Fokker,Ann. Phys. 44, 321 (1914).
M. Mathisson,Acta Phys. Pol. 6, 167 (1937).
A. Papapetrou,Proc. R. Soc. London A209, 248 (1951).
L. Halpern,Gen. Relativ. Gravit. 8, 623 (1977).
L. Halpern and M. Miketinac,Can. J. Phys. 48, 225 (1970).
L. Halpern,Proceedings of the Symposium on Differential Geometric Methods in Physics, Springer Lecture Notes in Mathematics (Springer-Verlag, New York)570, 355 (1977).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Halpern, L. On the unification of the law of motion. Found Phys 14, 1011–1026 (1984). https://doi.org/10.1007/BF01889251
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01889251