Institute for Problems in Mechanics, Russian Academy of Science
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Updated December 22, 2002
Two different definitions of the two vectors parallelism are investigated and compared. The first definitions is based on the principle of geometry deformation, when any physical geometry is obtained as a result of some deformation of the proper Euclidean geometry. The second definition is the conventional definition of parallelism, which is used in the Riemannian geometry. It is shown, that the second definition is inconsistent. It leads to absence of absolute parallelism in Riemannian geometry and to discrimination of outcome outside the framework of the Riemannian geometry at description of the space-time geometry. The reason of the inconsistency appearance is discussed. Problems of the inconsistency elimination and consequences of this elimination for development of the microcosm physics are considered.
English version of the paper in Postscript.
Russian version of the paper in Postscript.