Abstract
OBJECTIONS to my analysis of re-entrant motion generally fall into one of two categories, (1) criticisms that accept the analysis within its terms of reference (namely, those of ordinary special relativity), but view the result as sufficiently ludicrous to refute one or more of the idealizations (for example, linear mathematics, rigid bodies) embodied in those terms of reference; (2) criticisms of the analysis as false and incompatible with special relativity.
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References
Landau, L., and Lifshitz, E., The Classical Theory of Fields, 24 (Addison-Wesley, 1951). These authors, as a result of failing to define ‘circumference’ as a locus, unfortunately confuse the metric of a stationary observer with the metric that would be attributed by such an observer to a moving observer. Thus, the particular ‘absurdity’ they expose has a definitional origin and is unconnected with the rigid-body property to which they ascribe it. (All reference to the matter has been eliminated from the second revised edition, 1962.)
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PHIPPS, T. Re-entrant Motion in Special Relativity. Nature 196, 886–888 (1962). https://doi.org/10.1038/196886c0
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DOI: https://doi.org/10.1038/196886c0
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