The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-905
Full Name: Siavash Sohrab
Position: Associate Professor
Age: ON
Sex: Male
Address: Northwestern University, Dept. Mech. Engin. 2145 Sheridan 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: On a Scale Invariant Model of Statistical Mechanics and the Kinetic Theory of Ideal Gas
Authors as they appear in the Paper: Siavash H. Sohrab
Email addresses of all the authors: s-sohrab@northwestern.edu
Number of paper pages: 29
Abstract: A scale invariant model of statistical mechanics is applied to derive invariant Maxwell-Boltzmann speed and Planck energy spectrum of equilibrium statistical fields including that of isotropic stationary turbulence. The latter is shown to lead to the definitions of (electron, photon, neutrino) respectively as the most-probable equilibrium sizes of (photon, neutrino, tachyon) clusters. Also, invariant modified form of the first law of thermodynamics is derived and a modified definition of entropy, invariant forms of transport coefficients, and hierarchies of absolute zero temperatures and vacua are described. The physical basis for the coincidence of normalized spacings between zeros of Riemann zeta function and the normalized Maxwell-Boltzmann distribution and its connections to Riemann Hypothesis are examined. New paradigms for hydrodynamic foundations of both Schrödinger as well as Dirac wave equations are discussed.
Keywords: Kinetic theory of ideal gas; Thermodynamics; Statistical mechanics; Riemann Hypothesis; TOE.
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