TY - GEN

T1 - On a scale invariant model of statistical mechanics and the kinetic theory of ideal gas

AU - Sohrab, Siavash H.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Kinetic theory of ideal gas

KW - Riemann hypothesis

KW - Statistical mechanics

KW - TOE

KW - Thermodynamics

UR - http://www.scopus.com/inward/record.url?scp=80053147741&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053147741&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:80053147741

SN - 9789604742974

T3 - Proceedings of the European Computing Conference, ECC '11

SP - 427

EP - 455

BT - Proceedings of the European Computing Conference, ECC '11

T2 - European Computing Conference, ECC '11

Y2 - 28 April 2011 through 30 April 2011

ER -