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On Carmeli's exotic use of the Lorentz transformation and on the velocity composition approach to special relativity

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Abstract

As shown by Ramarkrishnan, the faithful mapping, in the sense of Lie groups, of the real line onto the finite segment−1<u<+1 is u=tanh A, from which follows the “relativistic velocity composition law” w=(u+v)/(1+uv) and the Lorentz-Poincaré transformation formulas. Composition of translations is merely one application of this. Carmeli has shown that composition of rotations is another one. There may be still others.

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References

  1. M. Carmeli,Found. Phys. 15, 889 (1985).

    Google Scholar 

  2. M. Carmeli,Found. Phys. 15, 1263 (1985).

    Google Scholar 

  3. A. Ramakrishnan,J. Math. Anal. 42, 377 (1973).

    Google Scholar 

  4. H. Yilmaz, inProceedings of the Berkeley Colloquium on the Philosophy of Science (D. Reidel, Dordrecht, 1972).

    Google Scholar 

  5. J. M. Lévy-Leblond,Am. J. Phys. 44, 271 (1976).

    Google Scholar 

  6. J. M. Lévy-Leblond and J. P. Provost,Am. J. Phys. 47, 1045 (1976).

    Google Scholar 

  7. A. Potier,J. Phys. (Paris) 18, 422 (1874).

    Google Scholar 

  8. M. von Laue,Ann. Phys. (Leipzig) 23, 989 (1907).

    Google Scholar 

  9. J. Hadamard,Cours d'Analyse professé à l'Ecole Polytechnique (Gauthier-Villars, Paris, 1930), Vol. 2, pp. 335–339.

    Google Scholar 

  10. J. Abelé,C. R. Acad. Sci. (Paris) 235, 1007 (1952).

    Google Scholar 

  11. P. Malvaux,C. R. Acad. Sci. (Paris) 235, 1009 (1952).

    Google Scholar 

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  1. Institut Henri Poincaré, 11, Rue P. et M. Curie, 75231, Paris Cedex 05, France

    O. Costa de Beauregard

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  1. O. Costa de Beauregard
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Costa de Beauregard, O. On Carmeli's exotic use of the Lorentz transformation and on the velocity composition approach to special relativity. Found Phys 16, 1153–1157 (1986). https://doi.org/10.1007/BF00761286

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  • DOI: https://doi.org/10.1007/BF00761286

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