NUMBER DISTRIBUTION AND RESONANCE
- Authors: Dombrovsky K.1, Stanyukovich K.1
-
Affiliations:
- All-Russian Research Institute of Metrological Service
- Issue: No 4 (2021)
- Pages: 119-158
- Section: METAPHYSICAL ROLE OF NUMBERS
- URL: https://hlrsjournal.ru/metaphysics/article/view/30200
- DOI: https://doi.org/10.22363/2224-7580-2021-4-119-158
Cite item
Full Text
Abstract
The article discusses the relationship between the periods of oscillation of physical systems with the problem of distribution of rational numbers on the number axis. The representation of numbers by continued fractions is also considered. Particular attention is paid to the physical consequences of the ratios of the periods of oscillations, such as the connection of the “golden section” with the law of distribution of planetary distances, the connection of the laws of information transmission processes with the sensitivity of the human eye realized in nature.
About the authors
K. Dombrovsky
All-Russian Research Institute of Metrological Service
Email: metafizika@rudn.university
46 Ozernaya St, Moscow, 119361, Russian Federation
K. Stanyukovich
All-Russian Research Institute of Metrological Service
Email: metafizika@rudn.university
46 Ozernaya St, Moscow, 119361, Russian Federation
References
- Планк М. Единство физической картины мира. М.: Наука, 1966.
- Галилей Г. Беседы и математические доказательства. М., 1934.
- Minkowski H. Geometrie der Zahlen. Lpz.-B., 1953.
- Клейн Ф. Элементарная математика с точки зрения высшей. Т. 1. М., 1933.
- Хинчин А.Я. Цепные дроби. М., 1978.
- Белецкий В.В. Очерки о движении космических тел. М., 1977.
- Демин В.Г. Судьба Солнечной системы. М., 1975.
- Арнольд В.И. Доказательство теоремы А.Н. Колмогорова // Успехи математических наук. 1963. Т. 18. № 5 (113). С. 9-36.
- Домбровский К.И. Распределение рациональных чисел и резонанс // Проблемы теории гравитации. Вып. 16. М., 1985.
- Jones W., Thron W. Continued Fractions. 1980.
- Стахов А.П. Коды золотой пропорции. М., 1984.
