Some Implications of Invariant Model of Boltzmann Statistical Mechanics to the Gap Between Physics and Mathematics

Siavash H. Sohrab*

*Corresponding author for this work

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

Abstract

Some implications of a scale-invariant model of Boltzmann statistical mechanics to physical foundation of the gap between physics and mathematics, Riemann hypothesis, analytic number theory, Cantor uncountability theorem, continuum hypothesis, Goldbach conjecture, and Russell paradox are studied. Quantum nature of space and time is described by introduction of dependent internal measures of space and time called spacetime and independent external measures of space and time. Because of its hyperbolic geometry, its discrete fabric, and its stochastic atomic motions, physical space is called Lobachevsky-Poincaré-Dirac-Space.

Original languageEnglish (US)
Title of host publication12th Chaotic Modeling and Simulation International Conference, CHAOS 2019
EditorsChristos H. Skiadas, Yiannis Dimotikalis
PublisherSpringer
Pages231-243
Number of pages13
ISBN (Print)9783030395148
DOIs
StatePublished - 2020
Event12th International Conference on Chaotic Modeling, Simulation and Applications, CHAOS 2019 - Chania, Greece
Duration: Jun 18 2019Jun 22 2019

Publication series

NameSpringer Proceedings in Complexity
ISSN (Print)2213-8684
ISSN (Electronic)2213-8692

Conference

Conference12th International Conference on Chaotic Modeling, Simulation and Applications, CHAOS 2019
Country/TerritoryGreece
CityChania
Period6/18/196/22/19

Keywords

  • Analytical number theory
  • Continuum hypothesis
  • Goldbach conjecture
  • Infinitesimals
  • Riemann hypothesis
  • Russell paradox
  • Spacetime

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation
  • Computer Science Applications

Fingerprint

Dive into the research topics of 'Some Implications of Invariant Model of Boltzmann Statistical Mechanics to the Gap Between Physics and Mathematics'. Together they form a unique fingerprint.

Cite this