Abstract
It is shown that on the principle of independence of the velocity of light not only on the speed but also on the acceleration of a source emitting the light, it would be natural to relate the examination of accelerated frames of reference with a line chain bundle à 3,1 (covering structure) constructed over the affine space-time A 3,1 rather than with a metric structure of the space-time continuum A 3,1.
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Sannikov-Proskuryakov, S.S. On Noninertial Frames of Reference. Russian Physics Journal 46, 669–676 (2003). https://doi.org/10.1023/B:RUPJ.0000008196.43530.0e
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DOI: https://doi.org/10.1023/B:RUPJ.0000008196.43530.0e