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

Janusz Wolny; Radoslaw Strzalka

doi:doi:10.11648/j.ajpa.20200802.12

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

Janusz Wolny, Radoslaw Strzalka

Published in American Journal of Physics and Applications (Volume 8, Issue 2)

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), 2024. Published by Science Publishing Group

Keywords

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

References

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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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TY  - JOUR
T1  - Description of the Motion of Objects with Sub- and Superluminal Speeds
AU  - Janusz Wolny
AU  - Radoslaw Strzalka
Y1  - 2020/06/04
PY  - 2020
N1  - https://doi.org/10.11648/j.ajpa.20200802.12
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
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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.
VL  - 8
IS  - 2
ER  -

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Author Information

Janusz Wolny

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

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

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Plain Text BibTeX RIS

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}
}

Copy | Download

TY  - JOUR
T1  - Description of the Motion of Objects with Sub- and Superluminal Speeds
AU  - Janusz Wolny
AU  - Radoslaw Strzalka
Y1  - 2020/06/04
PY  - 2020
N1  - https://doi.org/10.11648/j.ajpa.20200802.12
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
SP  - 25
EP  - 28
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.
VL  - 8
IS  - 2
ER  -

Copy | Download