Статья: PLANETARY SYSTEM AS A FRAMEWORK STRUCTURE: FROM INCEPTION TO EVOLUTIONARY MATURITY (2026)

The paper considers an abstract structure that defines the characteristics of the planetary system, both at its inception and upon reaching its evolutionary maturity. The structure is regarded as a chain of dimensionless relationships comprising the allowed states as nodes and connections linking them as the rules that ensure the system’s stability. This structure does not bear the specifics of any natural objects; its positions can describe various contents. The system is understood as a part of a structure with defined boundaries. A special trinitarian methodology is used. Initially, nodes are formed within a unit segment of the 1:2 numerical axis and are placed within a framework structure, a special geometric structure that allows for monitoring changes in the network. A series of scenarios understood as sequences of structural events are realized one after another. The first focuses on irreversible changes and includes two stages: the initial stage, where relationships are formed, and the final stage, when order spreads throughout the network, i. e., the entire network is constructed on the basis of a single relationship and is interpreted as evolutionarily mature. The second scenario relies on cyclical repetitions of relationships; within it, the order parameter n is formed, combining two relative characteristics. This scenario allows for a detailed description of processes within a single segment of the axis. The paper combines these two scenarios. As an application of the model, the formation of the structure of planetary orbits in the solar system is considered. Here, the relative angular momentum (the area “swept” per unit time by a body moving in a circular orbit when normalized to the first orbit) acts is the order parameter n. The parameter n is similar to the principal quantum number in wave mechanics. Discrete positions of the parameter n determine both the planetary periods and the planetary distances in the ecliptic plane. Initially, the system contains Mercury, Venus, Earth, Mars, Phaeton (conventionally), Jupiter, Saturn, Chiron (conventionally), Uranus, and Pluto. In an evolutionarily mature system, Neptune appears. The observed state of the system is interpreted as intermediate. On average, the range over which evolutionary changes in n occur is 1.021. The model allows for a brief and visual representation of the process of planetary system assembly.