Quantum theory of fields from Planck to cosmic scales

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15 Scopus citations

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 scales 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)
Pages (from-to)734-756
Number of pages23
JournalWSEAS Transactions on Mathematics
Volume9
Issue number9
StatePublished - Sep 2010

Keywords

  • Dirac and schrödinger equations
  • Quantum mechanics
  • Relativity
  • TOE
  • Theory of turbulence

ASJC Scopus subject areas

  • Endocrinology, Diabetes and Metabolism
  • Algebra and Number Theory
  • Statistics and Probability
  • Discrete Mathematics and Combinatorics
  • Management Science and Operations Research
  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics

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