3D Multi-Basin Attractor Dynamics and Galactic Infall via Non-Markovian K-Kernel Potential

We extend the analytical formulation of the non-Markovian K-Kernel potential to three spatial dimensions to model the multi-basin attractor dynamics of the local universe. The effective potential is defined as a superposition of decaying Yukawa terms and a quadratic dark energy background, creating a complex 3D topological landscape. The simulation visualizes the 3D potential surface alongside the spatial distribution of galaxies infalling towards local minima. The results confirm that the K-Kernel memory mechanism naturally produces multiple distinct gravitational basins, such as the Laniakea Supercluster, while preventing global collapse. This 3D visualization provides a robust computational tool for studying the large-scale structure of the cosmos.