Mathematical Formulation of the Khánh Potential for Ultra-High Endurance Deep-Space Composite Shells

This paper presents the definitive integration of the Khánh Potential (thế Khánh) into the multi-body interaction dynamics for ultra-high endurance composite materials. Designed explicitly for intergalactic deep-space transit vehicles, the framework scales the mechanical constraints from the hyper-dimensional manifold of Khanhnions 96D down to the condensed matter lattice, preventing strain singularities and structural decoherence under hyper-luminal velocities. Conventional materials engineering relies on localized macroscopic models that break down under extreme gravitational and topological stresses encountered during transit to the Andromeda galaxy. By establishing the Khánh Potential (thế Khánh) as the primary atmospheric thermal containment and lattice-stabilization metric, we define a unified multi-body energy field that couples localized molecular positions with the global metric invariants of the 96-dimensional manifold.