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 |
Period Doubling, Nonlinear Dynamics, Planck Scale, Elementary Charge, Magnetic Moment, Solar System
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APA Style
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
ACS 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
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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Download@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}
}
TY - JOUR T1 - On the Planck Scale and Properties of Matter AU - Ari Lehto Y1 - 2015/03/27 PY - 2015 N1 - https://doi.org/10.11648/j.ijass.s.2014020601.17 DO - 10.11648/j.ijass.s.2014020601.17 T2 - International Journal of Astrophysics and Space Science JF - International Journal of Astrophysics and Space Science JO - International Journal of Astrophysics and Space Science SP - 57 EP - 65 PB - Science Publishing Group SN - 2376-7022 UR - https://doi.org/10.11648/j.ijass.s.2014020601.17 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. VL - 2 IS - 6-1 ER -
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