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On the Planck Scale and Properties of Matter

Received: 21 December 2014     Accepted: 27 December 2014     Published: 27 March 2015
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Abstract

Period doubling, or a frequency halving sequence, is a common property of nonlinear dynamical systems. Period can be related to other physical quantities, e.g. length, energy and temperature, which obtain the corresponding doubling/halving behavior. It is found that physical properties of natural phenomena, systems and elementary particles can be derived directly from the Planck time, taken as the fundamental period. Analysis of experimental data suggests that the period doubling process takes place in three and four internal degrees of freedom. It is further found out that long term stability complies with the stability condition of nonlinear dynamical systems. A theory of period doubling in 1/r-type nonlinear systems with three and four internal degrees of freedom is presented.

Published in International Journal of Astrophysics and Space Science (Volume 2, Issue 6-1)

This article belongs to the Special Issue Quantum Vacuum, Fundamental Arena of the Universe: Models, Applications and Perspectives

DOI 10.11648/j.ijass.s.2014020601.17
Page(s) 57-65
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

Period Doubling, Nonlinear Dynamics, Planck Scale, Elementary Charge, Magnetic Moment, Solar System

References
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[3] http://en.wikipedia.org/wiki/Attractor (10 Sep. 2014)
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[5] Cheung P. Y. and Wong A. Y., ”Chaotic behavior and period doubling in plasmas”, Phys. Rev. Lett. 59, 551, 3 August 1987
[6] Batygin K., Morbidelli A., ”Onset of Secular Chaos in Planetary Systems: Period Doubling & Strange Attractors”, arXiv: 1106.2590
[7] Moskalik P. and Buchler J. R., ”Resonances and period doubling in the pulsations of stellar models”, Astrophysical Journal, Part 1 , vol. 355, p. 590-601, June 1, 1990
[8] Gleick James, “Chaos: Making a New Science”, Viking Penguin, 1987
[9] Baryshev Y. and Teerikorpi P., ”Discovery of Cosmic Fractals” , World Scientific Co Pte Ltd, 2003
[10] Lehto A., ”On (3+3)-dimensional discrete space-time”, University of Helsinki, Report Series in Physics HU-P-236, 1984
[11] Lehto A., ”Periodic time and the stationary properties of matter”. Chin. J. Phys. 28 (3), 215–235, 1990
[12] Lehto A., ”On the Planck Scale and Properties of Matter”, Nonlinear Dynamics, 55, 3, 279-298, February 2009
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    Ari Lehto. (2015). On the Planck Scale and Properties of Matter. International Journal of Astrophysics and Space Science, 2(6-1), 57-65. https://doi.org/10.11648/j.ijass.s.2014020601.17

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    Ari Lehto. On the Planck Scale and Properties of Matter. Int. J. Astrophys. Space Sci. 2015, 2(6-1), 57-65. doi: 10.11648/j.ijass.s.2014020601.17

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    AMA Style

    Ari Lehto. On the Planck Scale and Properties of Matter. Int J Astrophys Space Sci. 2015;2(6-1):57-65. doi: 10.11648/j.ijass.s.2014020601.17

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  • @article{10.11648/j.ijass.s.2014020601.17,
      author = {Ari Lehto},
      title = {On the Planck Scale and Properties of Matter},
      journal = {International Journal of Astrophysics and Space Science},
      volume = {2},
      number = {6-1},
      pages = {57-65},
      doi = {10.11648/j.ijass.s.2014020601.17},
      url = {https://doi.org/10.11648/j.ijass.s.2014020601.17},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.s.2014020601.17},
      abstract = {Period doubling, or a frequency halving sequence, is a common property of nonlinear dynamical systems. Period can be related to other physical quantities, e.g. length, energy and temperature, which obtain the corresponding doubling/halving behavior. It is found that physical properties of natural phenomena, systems and elementary particles can be derived directly from the Planck time, taken as the fundamental period. Analysis of experimental data suggests that the period doubling process takes place in three and four internal degrees of freedom. It is further found out that long term stability complies with the stability condition of nonlinear dynamical systems. A theory of period doubling in 1/r-type nonlinear systems with three and four internal degrees of freedom is presented.},
     year = {2015}
    }
    

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    Y1  - 2015/03/27
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    T2  - International Journal of Astrophysics and Space Science
    JF  - International Journal of Astrophysics and Space Science
    JO  - International Journal of Astrophysics and Space Science
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    AB  - Period doubling, or a frequency halving sequence, is a common property of nonlinear dynamical systems. Period can be related to other physical quantities, e.g. length, energy and temperature, which obtain the corresponding doubling/halving behavior. It is found that physical properties of natural phenomena, systems and elementary particles can be derived directly from the Planck time, taken as the fundamental period. Analysis of experimental data suggests that the period doubling process takes place in three and four internal degrees of freedom. It is further found out that long term stability complies with the stability condition of nonlinear dynamical systems. A theory of period doubling in 1/r-type nonlinear systems with three and four internal degrees of freedom is presented.
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    ER  - 

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  • Physics Foundations Society, Espoo, Finland

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