Abstract
A natural extension of the weak equivalence principle to the Riemann-Cartan geometry is proposed and then shown to be violated by the classical equations of translational and spin motion derived from the Dirac equation. This classical limit is obtained by a purely algebraic method. We point out that it is possible to distinguish experimentally between macroscopically equivalent Riemannian and teleparallelism geometries by measuring the precession of spinning particles.
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References
Adamowicz, W. and Trautman, A., 1975, Bull. Acad. Pol. Sci., Ser. Sci. Math. Astr. Phys. 23, 339
Bargmann, V., Michel, L., Telegdi, V. L., 1959, Phys. Rev. Lett. 2, 435
de Broglie, L., 1952, “La Theorie des Particules de Spin 1/2”, Gauthier-Villars, Paris, pp. 132, 128
Corben, H. C., 1968, “Classical and Quantum Theory of Spinning Particles”
Hayashi, K., and Shirafuji, 1979, “New General Relativity”, Univ. of Tokyo preprint Hehl, F. W., 1971, Phys. Lett. 36 A, 225
Hehl, F.W., Ne’eman, Y., Nitsch, J., von der Heyde, P., 1978a, Phys. Lett. 78 B, 102
Hehl, F. W., Nitsch, J., von der Heyde, P., 1978b, “Gravitation and Poincaré Gauge Field Theory with Quadratic Lagrangian”, to appear in “The Einstein Memorial Volume” ed. by A. Held, Plenum Press
Lawrence, J., 1970, Ann. Phys. ( N. Y. ) 58, 47
Pauli, W., 1932, Helvetia Phys. Acta 5, 1979
Peres, A., 1978, Phys. Rev. D 18, 2739
Robinow, S. I., and Keller, J. B., 1963, Phys. Rev. 131, 2789 Rumpf, H., 1979, “Creation of Dirac Particles in General Relativity with Torsion and Electromagnetism III: Matter Production in a Model of Torsion”, Gen. Rel. Grav. 10
Schweizer, M., and Straumann, N., 1979, “Poincaré Gauge Theory of Gravitation and the Binary Pulsar 1913 + 16”, Zürich Univ. preprint
Trautman, A., 1972, Bull. Acad. Pol. Sci. Math. Astr. Phys. 20, 895 von der Heyde, P., 1975, Lett. Nuovo Cim. 14, 250
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Rumpf, H. (1980). Quasiclassical Limit of the Dirac Equation and the Equivalence Principle in the Riemann-Cartan Geometry. In: Bergmann, P.G., De Sabbata, V. (eds) Cosmology and Gravitation. NATO Advanced Study Institutes Series, vol 58. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3123-0_4
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DOI: https://doi.org/10.1007/978-1-4613-3123-0_4
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