The Stability of Cosmic Structures, Gravitational Potential Wells, and Gravity in Cosmic Equilibrium

Gravitational interaction serves as the fundamental force responsible for the stability and dynamical order of the universe across varying spatial scales. This paper explores how gravitational potential wells, individual gravitational attractions, and dark matter distributions establish invariant structural boundaries for cosmic systems. From central star dominance in planetary systems to dark matter halos in galaxies and super-potential wells in galaxy clusters, gravity acts as an indispensable cosmic glue. Furthermore, it examines the resilience of these gravitational boundaries under high-energy astrophysical events, such as stellar collisions, binary mergers, and supernova explosions, as well as cosmic expansion. It demonstrates that due to the laws of conservation of mass-energy, the proportional relationship of potential well depth to mass and radius, and the non-interactive nature of dark matter halos, the overarching gravitational limits and local potential wells of these systems remain inherently preserved, enabling continuous cosmic recycling and long-term structural equilibrium.