PHYSICS OF NUMERICAL RELATIONSHIPS
- Authors: Müller H.1
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Affiliations:
- Issue: No 2 (2022)
- Pages: 83-92
- Section: THE PROBLEM OF UNDERSTANDING THE UNIVERSAL SPECTRA OF PERIODS
- URL: https://journals.rudn.ru/metaphysics/article/view/31748
- DOI: https://doi.org/10.22363/2224-7580-2022-2-83-92
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Abstract
An approach to the problem of stability of systems of a large number of bound periodic processes is proposed, based on the physical interpretation of certain statements of number theory. Possible applications of this approach to the physics of planetary systems, astrophysics, elementary particle physics and biophysics are considered.
Keywords
References
- Hansson J. The 10 Biggest Unsolved Problems in Physics // International Journal of Modern Physics and Applications. 2015. Vol. 1, no. 1. P. 12-16.
- Müller H. The Physics of Transcendental Numbers // Progress in Physics, 2019. Vol. 15. P. 148-155.
- Panchelyuga V.A., Panchelyuga M. S. Resonance and Fractals on the Real Numbers Set // Progress in Physics. 2012. Vol. 8. P. 48-53.
- Dombrowski K. Rational Numbers Distribution and Resonance // Progress in Physics. 2005. Vol. 1. P. 65-67.
- Minton D. A., Malhotra R. A record of planet migration in the main asteroid belt // Nature. 2009. Vol. 457. P. 1109-1111.
- Hilbert D. Über die Transcendenz der Zahlen e und p // Mathematische Annalen. 1983. Vol. 43. P. 216-219.
- Müller H. On the Cosmological Significance of Euler’s Number // Progress in Physics. 2019. Vol. 15. P. 17-21.
- Heggie D. C. The Classical Gravitational N-Body Problem. URL: arXiv:astro-ph/0503600v2. 11 Aug. 2005. P. 1-18.
- Woolfson M. M. Planet formation and the evolution of the Solar System. URL: arXiv:1709.07294. 2017. P. 1-45.
- Müller H. Global Scaling of Planetary Systems // Progress in Physics. 2018. Vol. 14. P. 99-105.
- Catalog of Exoplanets. Observatoire de Paris. URL: http://exoplanet.eu/catalog/
- Müller H. Physics of Transcendental Numbers meets Gravitation // Progress in Physics. 2021. Vol. 17. P. 83-92.
- Müller H. Scaling of body masses and orbital periods in the Solar System as consequence of gravity interaction elasticity // Abstracts of the XII International Conference on Gravitation, Astrophysics and Cosmology, dedicated to the centenary of Einstein’s General Relativity theory. Moscow: RUDN, 2015. ISBN 978-5-209-06616-3.
- Steinberg R. I. et al. Experimental test of charge conservation and the stability of the electron // Phys. Rev. 1975. D 12. P. 2582.
- Khintchine A. Continued fractions // Chicago: University of Chicago Press, 1964.
- Müller H. Fractal Scaling Models of Natural Oscillations in Chain Systems and the Mass Distribution of Particles // Progress in Physics. 2010. Vol. 6. P. 61-66.
- Мюллер Х. Скейлинг как фундаментальное свойство собственных колебаний вещества и фрактальная структура пространства-времени // Основания физики и геометрии. М.: РУДН, 2008. ISBN 978-5-209-03268-7.
- Müller H. Physics of Transcendental Numbers on the Origin of Astrogeophysical Cycles // Progress in Physics. 2021. Vol. 17. P. 225-228.
- Planck M. Über Irreversible Strahlungsvorgänge // Sitzungsbericht der Königlich Preußischen Akademie der Wissenschaften. 1899. Vol. 1. P. 479-480.
- Bills B. G., Ray R. D. Lunar Orbital Evolution: A Synthesis of Recent Results // Geophysical Research Letters. 1999. Vol. 26, no. 19. P. 3045-3048.
- Müller H. Global Scaling. The Fundamentals of Interscalar Cosmology // New Heritage. Publishers, Brooklyn, New York, USA, 2018. ISBN 978-0-9981894-0-6.
