Model of Cosmic Equilibrium

Abstract

This work introduces a parametric hypothesis of structural coupling of an object with field geometry — the dimensionless index Gp. The formula is not derived from the equations of Newton, Coulomb or Einstein, but ispostulated as a working combination consistent with the hierarchy of Solar System nodes. Within the proposedapproach, gravitational interaction is treated not as an immutable static background constant, but as a dynamicmultifactor state of coupling of an object with the geometry of the surrounding space, depending on mass M,angular spin velocity ω, integral magnetic dipole moment μ, volume density ρ and characteristic radius R.The work models the assumption that the macroscopic stability of planetary systems can be governed by themathematical topology of a self-unfolding torus, projected in the cross-sectional plane as a two-loop Bernoullilemniscate. To eliminate inductive gaps between the abstract field geometry and classical orbital dynamics, aformal four-level epistemological ladder is introduced that maps the original index Gp onto a modified resonantHamiltonian and the Hessian matrix. A comparative calculation of the parameters of the polar nodes of theheliosphere is performed, including the Sun as the main pressure generator, the load-bearing Jupiter–Saturnframework, the Uranus phase-inversion node and the inner dissipative contour of Mercury and Venus. Anequation of conservation of energy of the global vortex is formalized, and a hypothesis on the nature of the11/22-year solar cycles as a periodic phase dump of entropy in the “Izuminka” singularity of the core isproposed.