American Journal of Modern Physics

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Anomalous Behavior of Ultra-Relativistic Particles – a Phenomenon That Can Confirm the Discreteness of Time

Received: 13 January 2015    Accepted: 17 January 2015    Published: 23 April 2015
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Abstract

The paper analyses physical phenomenon which can give evidence of discreteness of time. The phenomenon is substitution of wave function of ultrarelativistic particle in terms of certain (hyper-ultrarelativistic) values of its space motion velocity. Discreteness of time is necessary criterion for such a substitution. The paper has developed mathematical description for particle energy (frequency) anomalous dependence on its velocity in the context of frequency substitution resulting from discreteness of time. Moreover, there have been obtained estimations of maximum energy of a particle of the given mass, maximum particle mass as well as a value of its own time quantum.

DOI 10.11648/j.ajmp.s.2015040201.16
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) 34-40
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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

State, Stream of Events, Time Quantum, Wave Function, Frequency Substitution, Folds, Energy

References
[1] Amelino-Camelia G., Relativity in spacetimes with short-distance structure governed by an observer-independent (Planckian) length scale, Int. J. Mod. Phys. D11, 2002, pp. 35-60.
[2] Esposito S., Salesi G., arXiv:1001.0050v1 [physics. hist-ph], 2009.
[3] Guang Ping He, arXiv:0911.2416v2 [quant-ph], 2009.
[4] Shan Gao, arXiv: 1001.5085v2 [physics.gen-ph], 2011.
[5] Abraham Boyarsky, Paweł Góra, Nonobservable space dimensions and the discreteness of time, Chaos, Solitons & Fractals,V. 24, Issue 1, pp. 13–18, April 2005.
[6] R. Otnes, L. Enochson, Applied time series analysis. Basic techniques. – John Wiley and Sons Inc, 1978, p. 428.
[7] Nyquist H. Certain topics in telegraph transmission theory. AIEE Transaction, p. 617, Apr. 1928.
[8] Shannon C., Communication in the presence of noise, PIRE, 37,1, 1949.
[9] Markov M.A., Progr. Theor. Phys.: Suppl. Commemoration Issue for 30th Anniversary of the Meson Theory by Dr. H. Yukawa, 1965.
[10] Kozyrev N.A. Sources of stellar energy and the theory of the internal structure of stars, Proceedings of the Crimean Astrophysical Observatory, 1948, V.2, 3-43 (in Russian).
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  • APA Style

    Alexander Zaslavsky. (2015). Anomalous Behavior of Ultra-Relativistic Particles – a Phenomenon That Can Confirm the Discreteness of Time. American Journal of Modern Physics, 4(2-1), 34-40. https://doi.org/10.11648/j.ajmp.s.2015040201.16

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    ACS Style

    Alexander Zaslavsky. Anomalous Behavior of Ultra-Relativistic Particles – a Phenomenon That Can Confirm the Discreteness of Time. Am. J. Mod. Phys. 2015, 4(2-1), 34-40. doi: 10.11648/j.ajmp.s.2015040201.16

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    AMA Style

    Alexander Zaslavsky. Anomalous Behavior of Ultra-Relativistic Particles – a Phenomenon That Can Confirm the Discreteness of Time. Am J Mod Phys. 2015;4(2-1):34-40. doi: 10.11648/j.ajmp.s.2015040201.16

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  • @article{10.11648/j.ajmp.s.2015040201.16,
      author = {Alexander Zaslavsky},
      title = {Anomalous Behavior of Ultra-Relativistic Particles – a Phenomenon That Can Confirm the Discreteness of Time},
      journal = {American Journal of Modern Physics},
      volume = {4},
      number = {2-1},
      pages = {34-40},
      doi = {10.11648/j.ajmp.s.2015040201.16},
      url = {https://doi.org/10.11648/j.ajmp.s.2015040201.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.s.2015040201.16},
      abstract = {The paper analyses physical phenomenon which can give evidence of discreteness of time. The phenomenon is substitution of wave function of ultrarelativistic particle in terms of certain (hyper-ultrarelativistic) values of its space motion velocity. Discreteness of time is necessary criterion for such a substitution. The paper has developed mathematical description for particle energy (frequency) anomalous dependence on its velocity in the context of frequency substitution resulting from discreteness of time. Moreover, there have been obtained estimations of maximum energy of a particle of the given mass, maximum particle mass as well as a value of its own time quantum.},
     year = {2015}
    }
    

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    AB  - The paper analyses physical phenomenon which can give evidence of discreteness of time. The phenomenon is substitution of wave function of ultrarelativistic particle in terms of certain (hyper-ultrarelativistic) values of its space motion velocity. Discreteness of time is necessary criterion for such a substitution. The paper has developed mathematical description for particle energy (frequency) anomalous dependence on its velocity in the context of frequency substitution resulting from discreteness of time. Moreover, there have been obtained estimations of maximum energy of a particle of the given mass, maximum particle mass as well as a value of its own time quantum.
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Author Information
  • National Mining University, Department of Information Technology, Dnipropetrovs’k, Ukraine; Web-Research Institute of the Nature of Time at Moscow State University, Moscow, Russia

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