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Description of the Motion of Objects with Sub- and Superluminal Speeds

Received: 20 April 2020     Accepted: 7 May 2020     Published: 4 June 2020
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Abstract

In this paper a direct derivation of the dynamics of objects moving with relativistic speeds is presented, based on two assumptions: (i) energy and mass of an object in motion are equivalent (mass-energy equivalence, known in special relativity and confirmed in experiments), (ii) an object can be considered as a variable-mass object with mass increasing with velocity (in some interpretations referred to as relativistic mass). In the presented approach the postulate on the constancy of the speed of light is not necessary. Also, the four-dimensional Minkowski spacetime is not used and no assumptions on symmetries are made. Therefore, it applies for sub- and superluminal speeds with the speed of light in a vacuum c being the critical speed, which separates the two interesting regions of speeds. The solution for v<c is fully equivalent to the results of special relativity (including the energy-momentum invariant), but the new possible solution for v>c opens an unknown and unintuitive behavior, which should be subjected to experimental investigation. In the range of superluminal speeds, a solution in which the energy of the material particle decreases as its speed increases is obtained. The critical speed in media other than a vacuum should be replaced to a speed environment-dependent, other than c.

Published in American Journal of Physics and Applications (Volume 8, Issue 2)
DOI 10.11648/j.ajpa.20200802.12
Page(s) 25-28
Creative Commons

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), 2020. Published by Science Publishing Group

Keywords

Special Relativity; Equation of Dynamics; Sub- and Superluminal Speeds

References
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[10] Tolman R. (1912). Non-Newtonian Mechanics. The Mass of a Moving Body. Philos. Mag. 23, 375-380.
[11] R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectures on Physics, chapters 15-1 and 15-8, online access: http://www.feynmanlectures.caltech.edu/
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Cite This Article
  • APA Style

    Janusz Wolny, Radoslaw Strzalka. (2020). Description of the Motion of Objects with Sub- and Superluminal Speeds. American Journal of Physics and Applications, 8(2), 25-28. https://doi.org/10.11648/j.ajpa.20200802.12

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    ACS Style

    Janusz Wolny; Radoslaw Strzalka. Description of the Motion of Objects with Sub- and Superluminal Speeds. Am. J. Phys. Appl. 2020, 8(2), 25-28. doi: 10.11648/j.ajpa.20200802.12

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    AMA Style

    Janusz Wolny, Radoslaw Strzalka. Description of the Motion of Objects with Sub- and Superluminal Speeds. Am J Phys Appl. 2020;8(2):25-28. doi: 10.11648/j.ajpa.20200802.12

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  • @article{10.11648/j.ajpa.20200802.12,
      author = {Janusz Wolny and Radoslaw Strzalka},
      title = {Description of the Motion of Objects with Sub- and Superluminal Speeds},
      journal = {American Journal of Physics and Applications},
      volume = {8},
      number = {2},
      pages = {25-28},
      doi = {10.11648/j.ajpa.20200802.12},
      url = {https://doi.org/10.11648/j.ajpa.20200802.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20200802.12},
      abstract = {In this paper a direct derivation of the dynamics of objects moving with relativistic speeds is presented, based on two assumptions: (i) energy and mass of an object in motion are equivalent (mass-energy equivalence, known in special relativity and confirmed in experiments), (ii) an object can be considered as a variable-mass object with mass increasing with velocity (in some interpretations referred to as relativistic mass). In the presented approach the postulate on the constancy of the speed of light is not necessary. Also, the four-dimensional Minkowski spacetime is not used and no assumptions on symmetries are made. Therefore, it applies for sub- and superluminal speeds with the speed of light in a vacuum c being the critical speed, which separates the two interesting regions of speeds. The solution for vc is fully equivalent to the results of special relativity (including the energy-momentum invariant), but the new possible solution for v>c opens an unknown and unintuitive behavior, which should be subjected to experimental investigation. In the range of superluminal speeds, a solution in which the energy of the material particle decreases as its speed increases is obtained. The critical speed in media other than a vacuum should be replaced to a speed environment-dependent, other than c.},
     year = {2020}
    }
    

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    AU  - Janusz Wolny
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    DO  - 10.11648/j.ajpa.20200802.12
    T2  - American Journal of Physics and Applications
    JF  - American Journal of Physics and Applications
    JO  - American Journal of Physics and Applications
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    PB  - Science Publishing Group
    SN  - 2330-4308
    UR  - https://doi.org/10.11648/j.ajpa.20200802.12
    AB  - In this paper a direct derivation of the dynamics of objects moving with relativistic speeds is presented, based on two assumptions: (i) energy and mass of an object in motion are equivalent (mass-energy equivalence, known in special relativity and confirmed in experiments), (ii) an object can be considered as a variable-mass object with mass increasing with velocity (in some interpretations referred to as relativistic mass). In the presented approach the postulate on the constancy of the speed of light is not necessary. Also, the four-dimensional Minkowski spacetime is not used and no assumptions on symmetries are made. Therefore, it applies for sub- and superluminal speeds with the speed of light in a vacuum c being the critical speed, which separates the two interesting regions of speeds. The solution for vc is fully equivalent to the results of special relativity (including the energy-momentum invariant), but the new possible solution for v>c opens an unknown and unintuitive behavior, which should be subjected to experimental investigation. In the range of superluminal speeds, a solution in which the energy of the material particle decreases as its speed increases is obtained. The critical speed in media other than a vacuum should be replaced to a speed environment-dependent, other than c.
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Author Information
  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland

  • Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, Krakow, Poland

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