Physical Institute, University of Leningrad, U.S.S.R. (Delivered to the Colloquium of the Institute for Theoretical Physics, Copenhagen, Denmark, February 18, 20, 22, 1957.) FIRST LECTURE: ON HOMOGENEITY, COVARIANCE, AND RELATIVITY IN my first lecture, I try to elucidate some general notions connected with relativity theory. I speak on homogeneity, covariance, and relativity. My considerations are of a very simple nature but, never- theless, I hope that they may be of interest, because simple notions are often the most difficult ones. If we consider the geometrical aspect of the theory of space and time, this theory naturally divides into the theory of homogeneous (uniform) space-time and that of the nonhomogeneous (nonuniform) space-time. The former may be called Galilean space and the latter the Riemannian or Einsteinian space. (I some- times use the word space instead of space-time.) The property of space-time of being homogeneous means that (a) there are no privileged points in space and in time; (b) there are no privileged directions, and (c) there are no privileged inertial frames (that all frames moving uniformly and in a straight line with respect to one another are on the same footing). The uniformity of space and time manifests itself
Reviews of Modern Physics – American Physical Society (APS)
Published: Jul 1, 1957
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