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

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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.

12th CHAOS Conference Proceedings, 18 - 22 June 2019, Chania, Crete, Greece.

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Acknowledgements

This research was in part supported by NASA grant No. NAG3-1863.

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Authors and Affiliations

  1. McCormick School of Engineering and Applied Science, Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL, 60208-3111, USA

    Siavash H. Sohrab

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  1. Siavash H. Sohrab
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Correspondence to Siavash H. Sohrab .

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Editors and Affiliations

  1. ManLab, Technical University of Crete, Chania, Crete, Greece

    Christos H. Skiadas

  2. Department of Management Science and Technology, Hellenic Mediterranean University, Agios Nikolaos, Crete, Lasithi, Greece

    Yiannis Dimotikalis

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Sohrab, S.H. (2020). Some Implications of Invariant Model of Boltzmann Statistical Mechanics to the Gap Between Physics and Mathematics. In: Skiadas, C., Dimotikalis, Y. (eds) 12th Chaotic Modeling and Simulation International Conference. CHAOS 2019. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-39515-5_19

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