On the Planck Scale and Properties of Matter
International Journal of Astrophysics and Space Science
Volume 2, Issue 6-1, December 2014, Pages: 57-65
Received: Dec. 21, 2014; Accepted: Dec. 27, 2014; Published: Mar. 27, 2015
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Ari Lehto, Physics Foundations Society, Espoo, Finland
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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.
Period Doubling, Nonlinear Dynamics, Planck Scale, Elementary Charge, Magnetic Moment, Solar System
To cite this article
Ari Lehto, On the Planck Scale and Properties of Matter, International Journal of Astrophysics and Space Science. Special Issue: Quantum Vacuum, Fundamental Arena of the Universe: Models, Applications and Perspectives. Vol. 2, No. 6-1, 2014, pp. 57-65. doi: 10.11648/j.ijass.s.2014020601.17
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