dorsal/arxiv
View SchemaFractal space-time fluctuations: A signature of quantumlike chaos in dynamical systems
| Authors | A. M. Selvam |
|---|---|
| Categories | |
| ArXiv ID | physics/0408089 |
| URL | https://arxiv.org/abs/physics/0408089 |
Abstract
Dynamical systems in nature such as fluid flows, heart beat patterns, rainfall variability, stock market price fluctuations, etc. exhibit selfsimilar fractal fluctuations on all scales in space and time. Power spectral analyses of fractal fluctuations exhibit inverse power law form indicating long-range space-time correlations, identified as self-organized criticality. The author has proposed a general systems theory, which predicts the observed self-organized criticality as signatures of quantumlike chaos. The model shows that (1) the fractal fluctuations result from an overall logarithmic spiral trajectory with the quasiperiodic Penrose tiling pattern for the internal structure. Conventional power spectral analysis of such a logarithmic spiral trajectory will show a continuum of eddies with progressive increase in phase. (2) Power spectral analyses of fractal fluctuations of dynamical systems exhibit the universal inverse power law form of the statistical normal distribution. Such a result indicates that the additive amplitudes of eddies, when squared (namely the variance) represent the probabilities, a characteristic exhibited by the subatomic dynamics of quantum systems such as the electron or photon. Further, long-range space-time correlations or non-local connections such as that exhibited by macroscale dynamical systems characterize quantum systems also. Therefore selfsimilar fractal fluctuations generic to dynamical systems of all scales in nature is a signature of quantumlike chaos. The model concepts are applied to show that the frequency distribution of bases A, C, G, T in Human Chromosome Y DNA exhibit long-range spatial correlations.
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"abstract": "Dynamical systems in nature such as fluid flows, heart beat patterns,\nrainfall variability, stock market price fluctuations, etc. exhibit selfsimilar\nfractal fluctuations on all scales in space and time. Power spectral analyses\nof fractal fluctuations exhibit inverse power law form indicating long-range\nspace-time correlations, identified as self-organized criticality. The author\nhas proposed a general systems theory, which predicts the observed\nself-organized criticality as signatures of quantumlike chaos. The model shows\nthat (1) the fractal fluctuations result from an overall logarithmic spiral\ntrajectory with the quasiperiodic Penrose tiling pattern for the internal\nstructure. Conventional power spectral analysis of such a logarithmic spiral\ntrajectory will show a continuum of eddies with progressive increase in phase.\n(2) Power spectral analyses of fractal fluctuations of dynamical systems\nexhibit the universal inverse power law form of the statistical normal\ndistribution. Such a result indicates that the additive amplitudes of eddies,\nwhen squared (namely the variance) represent the probabilities, a\ncharacteristic exhibited by the subatomic dynamics of quantum systems such as\nthe electron or photon. Further, long-range space-time correlations or\nnon-local connections such as that exhibited by macroscale dynamical systems\ncharacterize quantum systems also. Therefore selfsimilar fractal fluctuations\ngeneric to dynamical systems of all scales in nature is a signature of\nquantumlike chaos. The model concepts are applied to show that the frequency\ndistribution of bases A, C, G, T in Human Chromosome Y DNA exhibit long-range\nspatial correlations.",
"arxiv_id": "physics/0408089",
"authors": [
"A. M. Selvam"
],
"categories": [
"physics.gen-ph"
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"title": "Fractal space-time fluctuations: A signature of quantumlike chaos in dynamical systems",
"url": "https://arxiv.org/abs/physics/0408089"
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