dorsal/arxiv
View SchemaQuantum-like Chaos in Prime Number Distribution and in Turbulent Fluid Flows
| Authors | A. M. Selvam |
|---|---|
| Categories | |
| ArXiv ID | physics/0005067 |
| URL | https://arxiv.org/abs/physics/0005067 |
Abstract
Recent studies indicate a close association between the distribution of prime numbers and quantum mechanical laws governing the subatomic dynamics of quantum systems such as the electron or the photon. Number theoretical concepts are intrinsically related to the quantitative description of dynamical systems of all scales ranging from the microscopic subatomic dynamics to macroscale turbulent fluid flows such as the atmospheric flows. It is now recognised that Cantorian fractal spacetime characterise all dynamical systems in nature. A cell dynamical system model developed by the author shows that the continuum dynamics of turbulent fluid flows consist of a broadband continuum spectrum of eddies which follow quantumlike mechanical laws. The model concepts enable to show that the continuum real number field contains unique structures, namely prime numbers which are analogous to the dominant eddies in the eddy continuum in turbulent fluid flows. In this paper it is shown that the prime number frequency spectrum follows quantumlike mechanical laws.
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"abstract": "Recent studies indicate a close association between the distribution of prime\nnumbers and quantum mechanical laws governing the subatomic dynamics of quantum\nsystems such as the electron or the photon. Number theoretical concepts are\nintrinsically related to the quantitative description of dynamical systems of\nall scales ranging from the microscopic subatomic dynamics to macroscale\nturbulent fluid flows such as the atmospheric flows. It is now recognised that\nCantorian fractal spacetime characterise all dynamical systems in nature. A\ncell dynamical system model developed by the author shows that the continuum\ndynamics of turbulent fluid flows consist of a broadband continuum spectrum of\neddies which follow quantumlike mechanical laws. The model concepts enable to\nshow that the continuum real number field contains unique structures, namely\nprime numbers which are analogous to the dominant eddies in the eddy continuum\nin turbulent fluid flows. In this paper it is shown that the prime number\nfrequency spectrum follows quantumlike mechanical laws.",
"arxiv_id": "physics/0005067",
"authors": [
"A. M. Selvam"
],
"categories": [
"physics.gen-ph"
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"title": "Quantum-like Chaos in Prime Number Distribution and in Turbulent Fluid Flows",
"url": "https://arxiv.org/abs/physics/0005067"
},
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