The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 88-365
Full Name: Siavash Sohrab
Position: Associate Professor
Age: ON
Sex: Male
Address: Northwestern University, Dept. Mech. Engin. 2145 Sheridn Road, Evanston, Illinois 60208-3111
Country: UNITED STATES
Tel: 847-491-3572
Tel prefix: 847
Fax: 847-491-3915
E-mail address: s-sohrab@northwestern.edu
Other E-mails: shsohrab@comcast.net
Title of the Paper: Quantum Theory of Fields from Planck to Cosmic Scales
Authors as they appear in the Paper: Siavash H. Sohrab
Email addresses of all the authors: s-sohrab@northwestern.edu
Number of paper pages: 23
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.
Keywords: Theory of turbulence; Quantum mechanics; Relativity; Dirac and Schrödinger equations; TOE.
EXTENSION of the file: .pdf
Special (Invited) Session: Turbulence and Quantum Mechanics from Cosmic to Planck Scales
Organizer of the Session: 646-569
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