TY - GEN

T1 - Some Implications of Invariant Model of Boltzmann Statistical Mechanics to the Gap Between Physics and Mathematics

AU - Sohrab, Siavash H.

N1 - Funding Information:
This research was in part supported by NASA grant No. NAG3-1863.
Publisher Copyright:
© Springer Nature Switzerland AG 2020.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Analytical number theory

KW - Continuum hypothesis

KW - Goldbach conjecture

KW - Infinitesimals

KW - Riemann hypothesis

KW - Russell paradox

KW - Spacetime

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U2 - 10.1007/978-3-030-39515-5_19

DO - 10.1007/978-3-030-39515-5_19

M3 - Conference contribution

AN - SCOPUS:85080881423

SN - 9783030395148

T3 - Springer Proceedings in Complexity

SP - 231

EP - 243

BT - 12th Chaotic Modeling and Simulation International Conference, CHAOS 2019

A2 - Skiadas, Christos H.

A2 - Dimotikalis, Yiannis

PB - Springer

T2 - 12th International Conference on Chaotic Modeling, Simulation and Applications, CHAOS 2019

Y2 - 18 June 2019 through 22 June 2019

ER -