| Peer-Reviewed

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
Views:       Downloads:
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.

Published in American Journal of Modern Physics (Volume 4, Issue 2-1)

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

DOI 10.11648/j.ajmp.s.2015040201.16
Page(s) 34-40
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), 2015. 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).
Cite This Article
  • 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

    Copy | Download

    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

    Copy | Download

    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

    Copy | Download

  • @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}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Anomalous Behavior of Ultra-Relativistic Particles – a Phenomenon That Can Confirm the Discreteness of Time
    AU  - Alexander Zaslavsky
    Y1  - 2015/04/23
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ajmp.s.2015040201.16
    DO  - 10.11648/j.ajmp.s.2015040201.16
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 34
    EP  - 40
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.s.2015040201.16
    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.
    VL  - 4
    IS  - 2-1
    ER  - 

    Copy | Download

Author Information
  • National Mining University, Department of Information Technology, Dnipropetrovs’k, Ukraine

  • Sections