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

Siavash H Sohrab*

*Corresponding author for this work

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


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.

Original languageEnglish (US)
Title of host publicationProceedings of the European Computing Conference, ECC '11
Number of pages29
StatePublished - Sep 29 2011
EventEuropean Computing Conference, ECC '11 - Paris, France
Duration: Apr 28 2011Apr 30 2011


OtherEuropean Computing Conference, ECC '11


  • Kinetic theory of ideal gas
  • Riemann hypothesis
  • Statistical mechanics
  • TOE
  • Thermodynamics

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Theoretical Computer Science

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