Abstract
It is shown in the present work that the three-dimensional trajectories of a specimen point charged particle in potential fields may be regarded as geodesic lines lying on isotropic surfaces of some four-dimensional configurational space, the connectedness of which has distortion, while the transference is nonmetric.
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I. P. Konopleva and V. N. Popov, Gauge Fields [in Russian], Atomizdat, Moscow (1980).
V. I. Rodichev, Theory of Gravitation in an Orthogonal Reference Frame [in Russian], Atomizdat, Moscow (1980).
C. W. Misner et al., Gravitation, Vol. 2, Cambridge University Press, New York (1973).
A. Likhnerovich, Theory of Connectedness as a Whole and Holonomic Groups [Russian translation], IL, Moscow (1960).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 55–58, December, 1983.
In conclusion, thanks are due to G. I. Flesher for interest in the work and for useful critical comments and also to I. L. Bukhbinder for fruitful discussions of the fundamental aspects of the present work.
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Korotchenko, K.B. Metrical form of the equations of motion of a specimen point particle in a potential field. Soviet Physics Journal 26, 1114–1116 (1983). https://doi.org/10.1007/BF00894645
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DOI: https://doi.org/10.1007/BF00894645