On Relativistic Theory of Rotating Disk

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概要

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• From group-theoretical point of view, using the composition law of velocities in special relativity, a relativistic theory of rotating disk is established by an axiomatic method. In this theory, first of all, transformation formula from galilean frame to disk frame is obtained and then, basing upon this, the velocity distribution and the intrinsic geometry of the disk are determined. The distribution satisfies the linear law in the limit of ρω/c →0, although it is not the case in general. The geometry is not euclidean and its gaussian curvature is negative in spite of the fact that the proper circumference of any circle with center 0 (the center of rotation), is obtained in euclidean manner.

• 理論物理学刊行会の論文

著者

• Takeno Hyoitiro

  Research Institute For Theoretical Physics Hiroshima University

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