Turbulence and quantum mechanics from cosmic to Planck scales

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A scale invariant model of statistical mechanics is applied to describe a modified statistical theory of turbulence and its quantum mechanical foundations. Hierarchies of statistical fields from cosmic to Planck scale are described. Energy spectrum of equilibrium isotropic turbulence is shown to follow Planck law. Predicted velocity profiles of turbulent boundary layer over a flat plate at four consecutive scales of LED, LCD, LMD, and LAD are shown to be in close agreement with the experimental observations in the literature. The physical and quantum nature of time is described and a scale-invariant definition of time is presented and its relativistic behavior is examined. New paradigms for physical foundations of quantum mechanics as well as derivation of Dirac relativistic wave equation are introduced.

Original languageEnglish (US)
Title of host publicationLatest Trends on Systems International Conference on Systems - 14th WSEAS International Conference on Systems, Part of the 14th WSEAS CSCC Multiconference
Pages480-497
Number of pages18
StatePublished - Dec 1 2010
Event14th WSEAS International Conference on Systems, Part of the 14th WSEAS CSCC Multiconference - Corfu Island, Greece
Duration: Jul 22 2010Jul 24 2010

Publication series

NameInternational Conference on Systems - Proceedings
Volume1

Other

Other14th WSEAS International Conference on Systems, Part of the 14th WSEAS CSCC Multiconference
CountryGreece
CityCorfu Island
Period7/22/107/24/10

Keywords

  • Dirac equation
  • Quantum mechanics
  • Relativity
  • Statistical theory of turbulence
  • TOE

ASJC Scopus subject areas

  • Control and Systems Engineering

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