An invariant model of boltzmann statistical mechanics and some of its implications to thermodynamics and quantum nature of space and time

Siavash H. Sohrab*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Further implications of a scale invariant model of Boltzmann statistical mechanics to generalized thermodynamics and quantum nature of space and time are described. Scale invariant definition of absolute thermodynamic temperature identified as Wien wavelength of thermal oscillations is applied to introduce internal dependent measures of space and time called spacetime. The internal spacetime measures (λ wβ-1 , τ wβ-1 ) allow for definition of external independent measures of space and time coordinates (x β , t β ) for the description of system dynamics. Because of its hyperbolic geometry, its discrete or quantum fabric, and its stochastic atomic motions, physical space is called Lobachevsky-Poincaré-Dirac-Space.

Original languageEnglish (US)
Pages (from-to)199-212
Number of pages14
JournalWSEAS Transactions on Applied and Theoretical Mechanics
Volume13
StatePublished - 2018

Keywords

  • Generalized thermodynamics
  • Quantum nature of space and time
  • Relativity
  • Spacetime
  • TOE

ASJC Scopus subject areas

  • Computational Mechanics
  • Civil and Structural Engineering
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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