American Journal of Modern Physics

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Triplet Paradox in Special Relativity and Discrepancy with Electromagnetism

Received: 08 February 2015    Accepted: 09 February 2015    Published: 12 March 2015
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Abstract

Special Relativity Theory (SRT) is considered to be compatible with classical electrodynamics. However, there are several logically deduced discrepancies inherent in SRT itself, which are called “paradoxes” and demand scrupulous examination. The “twin paradox” is most well-known. In this paper a new thought experiment, including three different observers (triplets) is presented. As opposed to the notorious “twin paradox” we suggest a case where two persons are moving in opposite directions in a manner symmetrical to the basic frame of reference being fixed. This consideration leads to the fundamental notion of physics of time controlling causality as an indispensable element of every scientific view. This is a pivotal tenet of SRT – “relativity of simultaneity” that is subjected to violation, in which case the ability of lawful implementation for Lorentz transform gets in doubt. Moreover, the consistent implementation of SRT in electromagnetism leads to breakdown of the equivalence principle in the realm of General Relativity.

DOI 10.11648/j.ajmp.s.2015040201.15
Published in American Journal of Modern Physics (Volume 4, Issue 2-1, April 2015)

This article belongs to the Special Issue Physics of Time: Theory and Experiment

Page(s) 26-33
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Special Relativity Theory, Relativity of Simultaneity, Paradoxes, Electromagnetism, Equivalence Principle

References
[1] A.P. French, Special Relativity. Thomas Nelson & Sons, Great Britain, 1981.
[2] S. Boblest, T. Müller and G. Wunner, “Twin paradox in de Sitter space-time”, Eur. J. Phys, № 32, p. 1117, 2011.
[3] H. Minkowski, "Raum und Zeit", Physikalische Zeitschrift, № 10, p. 75, 1908.
[4] C. Ranzan, “Einstein’s Simple Mathematical Trick and the Illusion of a Constant Speed of Light”, Applied Physics Research, vol. 5, № 4, pp. 85-95, 2013.
[5] Leus V.A. “Triplet paradox in special relativity”, Open Journal of Modern Physics, vol.2, №1, pp.11-15, 2015.
[6] Zajev N.E. and Dokuchajev V.I., Electrotechnika (Electrical Engineering, in Russian) 11, 64 (1964).
[7] Leus V.A. and Zatolokin V.N. “The magneto-kinematical effect”. IJEEE 43 (4), 245 (2006).
[8] Leus V. and Taylor S., “On the motion of the field of a permanent magnet”, Eur. J. Phys., Vol. 32, No 5, 1179-1192, (2011).
[9] Taylor, S., and Leus, V. A. “The magneto-kinematic effect for the case of rectilinear motion”. Eur.J.Phys.,Vol. 33, No 4, 837-852, (2012).
[10] Leus V. and Taylor S.., “Experimental Evidence for the Magneto-kinematic Effect”, PIERS Proceedings, (Moscow), pp.1040-1048 (August 2012).
[11] Maxwell J C 1873 A Treatise on Electricity and Magnetism, Vol 2 (Oxford: Clarendon Press)
[12] Purcell E M 1984 Electricity and Magnetism vol 2 2nd edn (New York: McGraw-Hill)
[13] Rowland H., “On the Magnetic Effect of Electric Convection”, American Journal of Science, Vol. XV, No. 3, 30-33, (1878).
[14] Eihenwald A. A., “Izbrannye raboty – Selected works,” Physico-matematicheskaja literatura, Moscow, (in Russian), (1956)
[15] Jackson J. D., “Classical Electrodynamics” (3th Ed), John Wiley & Sons, New York, (1999).
[16] Leus VA, Smith RT, Maher S. “The Physical Entity of Vector Potential in Electromagnetism”. Applied Physics Research. 2013; vol. 5 (4): 56-68.
[17] Leus VA, Smith RT, Maher S. “Two Types of Electromagnetic Induction Existing in Nature”, PIER Symposium, Stockholm Sweden, August 12-15, 2013.
[18] Leus, V.A. “The magneto-kinematical and electro-kinematical fields”. Progress In Electromagnetics Research M, Vol. 32, 27-41, (2013).
[19] L.D. Landau and E.M. Lifshitz. “The Classical Theory of Fields – Course of theoretical physics”. Vol. 2. Pergamon Press. Oxford, London, New York, Paris (1960).
[20] Ginzburg V.L. “On emission and the force of radiating friction during uniformly accelerated motion of a charge”. Uspekhi Fizicheskih Nauk (Advance in Physics). Vol. 98, № 3, 569-585, 1969, (in Russian).
[21] Oleg D. Jefimenko, “On the Relativistic Invariance of Maxwell’s Equations”, Z. Naturforsch, 54a, pp. 637-644 (1999).
[22] V.A. Leus “On the Field of a Moving Charge”, Open Journal of Modern Physics, vol.1, №1, pp. 1-7, 2014.
Author Information
  • Sobolev Institute of Mathematics, Novosibirsk, Russia

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    Vladimir Alexandr Leus. (2015). Triplet Paradox in Special Relativity and Discrepancy with Electromagnetism. American Journal of Modern Physics, 4(2-1), 26-33. https://doi.org/10.11648/j.ajmp.s.2015040201.15

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    Vladimir Alexandr Leus. Triplet Paradox in Special Relativity and Discrepancy with Electromagnetism. Am. J. Mod. Phys. 2015, 4(2-1), 26-33. doi: 10.11648/j.ajmp.s.2015040201.15

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    Vladimir Alexandr Leus. Triplet Paradox in Special Relativity and Discrepancy with Electromagnetism. Am J Mod Phys. 2015;4(2-1):26-33. doi: 10.11648/j.ajmp.s.2015040201.15

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  • @article{10.11648/j.ajmp.s.2015040201.15,
      author = {Vladimir Alexandr Leus},
      title = {Triplet Paradox in Special Relativity and Discrepancy with Electromagnetism},
      journal = {American Journal of Modern Physics},
      volume = {4},
      number = {2-1},
      pages = {26-33},
      doi = {10.11648/j.ajmp.s.2015040201.15},
      url = {https://doi.org/10.11648/j.ajmp.s.2015040201.15},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmp.s.2015040201.15},
      abstract = {Special Relativity Theory (SRT) is considered to be compatible with classical electrodynamics. However, there are several logically deduced discrepancies inherent in SRT itself, which are called “paradoxes” and demand scrupulous examination. The “twin paradox” is most well-known. In this paper a new thought experiment, including three different observers (triplets) is presented. As opposed to the notorious “twin paradox” we suggest a case where two persons are moving in opposite directions in a manner symmetrical to the basic frame of reference being fixed. This consideration leads to the fundamental notion of physics of time controlling causality as an indispensable element of every scientific view. This is a pivotal tenet of SRT – “relativity of simultaneity” that is subjected to violation, in which case the ability of lawful implementation for Lorentz transform gets in doubt. Moreover, the consistent implementation of SRT in electromagnetism leads to breakdown of the equivalence principle in the realm of General Relativity.},
     year = {2015}
    }
    

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