Abstract
CONVENTIONAL treatments of accelerated motion in the theory of relativity have led to certain difficulties of interpretation. Thus, Crampin, McCrea and McNally1 mention the lack of uniformity in the correspondence of events as depicted by the transformation of Born and Biem. Again, Donahue and Leffert2 and Moller3 discuss certain reversals in the apparent gravitational field of an accelerated body. I have found4 that these difficulties may be avoided by simpler analysis based on the use of restricted conformal transformations. In the conformal theory the velocity of light remains constant even for experimenters in accelerated motion.
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References
Crampin, Joan, McCrea, W. H., and McNally, D., Proc. Roy. Soc., A, 252, 156 (1959).
Leffert, C. B., and Donahue, T. M., Amer. J. Phys., 26, No. 8 (1958).
Moller, C., Amer. J. Phys., 27, No. 7 (1959).
Jones, Robert T., “Extending the Lorentz Transformation to Motion with Variable Velocity”, NASA Memo 7-9-59A (1959).
Bateman, H., Proc. Lond. Math. Soc., ii, 8, 223 (1910).
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JONES, R. Analysis of Accelerated Motion in the Theory of Relativity. Nature 186, 790 (1960). https://doi.org/10.1038/186790a0
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DOI: https://doi.org/10.1038/186790a0
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