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arXiv · 1309.0377

On a Special Transformation to a Non-Inertial, Radially Rigid Reference Frame

Vitaliy Voytik
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Abstract

We discuss the conditions under which a body, moving non-inertially in Minkowski space, can preserve its size. Under these conditions, using a series expansion of the generalized Lorentz transformation, we find a coor- dinate transformation connecting the laboratory inertial reference frame S and the rigid non-inertial reference frame s which moves without its own rotation with respect to S. Direct consequences of this transformation are: (a) desynchronization, in system s, of the coordinate clocks of s which were previously synchronized in S, and (b) a kinematic contraction of a ruler of system s observed in S. We also consider the dependence of the transfor- mation vector parameter on the proper coordinates of s.

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Vitaliy Voytik. 2013-08-30. On a Special Transformation to a Non-Inertial, Radially Rigid Reference Frame. https://doi.org/10.1134/s0202289313030110

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