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

被引：0

作者：

Sohrab, Siavash H. ^{[1
]}

机构：

[1] Northwestern Univ, McCormick Sch Engn & Appl Sci, Dept Mech Engn, 2145 Sheridan Rd, Evanston, IL 60208 USA

来源：

12TH CHAOTIC MODELING AND SIMULATION INTERNATIONAL CONFERENCE | 2020年

关键词：

Riemann hypothesis; Continuum hypothesis; Analytical number theory; Infinitesimals; Spacetime; Goldbach conjecture; Russell paradox; QUANTUM-THEORY; DERIVATION; GEOMETRY; FLUID; TERMS;

D O I：

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

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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-Poincare-Dirac-Space.

引用

页码：231 / 243

页数：13

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