In the work, based on the equations of the compressible oscillating ether, derived from the laws of classical mechanics [2, 4-5], ether mathematical models of the nuclei of atoms of chemical elements were constructed. It is shown that the nucleus of any atom is a superposition of perturbation waves of ether density in several protons and several neutrons, having a common center and propagating around a common axis in one direction or in opposite directions, that is, having unidirectional or opposite spins. Formulas for the values of internal energies, masses, magnetic moments, and binding energies of atomic nuclei are derived, with an accuracy of fractions of a percent coinciding with their experimental values. Formulas for calculating the radii of atomic nuclei are obtained. Answers are given to many topical questions about the structure of atomic nuclei that modern atomic physics is not capable of answering, for example: why there are no nuclei consisting only of protons or only of neutrons; what is the nature of the nuclear forces holding together protons and neutrons in the nucleus; why the sizes of atomic nuclei practically do not depend on the atomic number of the chemical element; why the Coulomb barrier of the nucleus selectively works; why the fragments of the decomposition of transuranium elements into two nuclides are asymmetric; why there is no stable nucleus ; what is the reason for the different percentage in nature of different isotopes of the same chemical element?
The self-organizing system’s approaching evolutionary maturity is considered, which allows us to explain the characteristics of their orbits for the four planets of the solar system. The system does not possess any specifics of natural objects and is treated as part of a structure that has boundaries. The structure, in its turn, is represented as a set of relations on the numerical axis and is understood as a network of nodes (the allowed states) and relations between them. The system is formed on the basis of the deployment of a proto-structure, a two-component cyclically organized system of relations, which is treated as primary and is intended for a phased study of the evolution of natural systems. Evolution is understood as a deployment from stage to stage, taking into account the background. The proto-structure defines the spectrum of allowed states for n - the order parameter of the system, which subordinates two relative characteristics. As a result of the interaction, the elements of the specified spectrum are split into components and specialize. Here the feed data are the insights resulting from the analysis of the previous evolution stage, where the splitting of ten n-nodes within one isolated proto-structure cycle is considered. We study four n-nodes, which, as a result of detailing, are represented using approximately 50 positions interacting on the numerical axis. These positions are placed at three levels of the hierarchy: the level of positions n, as well as their splits - the level of shifts n relative to the initial positions - the level of small changes. Inter-level connections and the level of shifts are considered in detail, the basis of which are the invariants formed at the previous stage of evolution. An analysis of structural scenarios indicates the key role of shifts at the last stage of evolution.
When applied, each element of the spectrum n is interpreted as the relative moment of momentum in the solar system, when it comes to circular motion. Otherwise, any element of the spectrum is