Open AccessMAX PRINCIPLE AND UNIVERSAL SPECTRUM OF PERIODS: COMPLEMENTARY FRACTAL DISTRIBUTIONS AS CONSEQUENCE OF RATIONAL AND IRRATIONAL RELATIONS BETWEEN PARTS OF THE WHOLE SYSTEM
Author(s) -
V. A. Panchelyuga,
M. S. Panchelyuga
Publication year - 2021
Publication title -
metafizika
Language(s) - English
Resource type - Journals
ISSN - 2224-7580
DOI - 10.22363/2224-7580-2021-2-39-56
Subject(s) - irrational number , fractal , spectrum (functional analysis) , series (stratigraphy) , statistical physics , mathematics , pure mathematics , spectral line , theoretical physics , mathematical analysis , physics , geometry , quantum mechanics , paleontology , biology
The paper discusses the assumption that Mach principle should result in existence of a universal spectrum of periods. It is shown that fragments of such a spectrum were found in time series of fluctuations of various processes. A general approach is considered that demonstrates the emergence of discrete states in the spectra of periods, which is based on two basic concepts: resonance and roughness of a physical system. This approach leads to the existence of two complementary fractal distributions associated with sets of rational and irrational relations between the elements of the whole system. A brief review of works that also consider universal spectra of periods is given.