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Meso-structures of dynamical chaos and E-infinity theory

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  • Mukhamedov, A.M.

Abstract

A novel proposal is made to develop a unified theory of dynamical chaos using an idea of extra-coordinates. It is supposed that chaos is capable to translate influences from quantum level of description to the classical macroscopic one and vise versa. The notion of macroscopically prepared microstates is proposed to determine a special case of extra-coordinates induced by cooperative effects at quantum resolution of dynamical events. Meso-structures mediating quantum and classical appearances of chaotic motion are studied in the light of E-infinity theory.

Suggested Citation

  • Mukhamedov, A.M., 2009. "Meso-structures of dynamical chaos and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1930-1938.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1930-1938
    DOI: 10.1016/j.chaos.2008.07.050
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    References listed on IDEAS

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    1. Mukhamedov, Alfred M., 2007. "The two-slit gedanken experiment in E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 1-4.
    2. Yang, Ciann-Dong & Wei, Chia-Hung, 2007. "Parameterization of all path integral trajectories," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 118-134.
    3. Mukhamedov, Alfred M., 2006. "Towards a gauge theory of turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 253-261.
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