Determining Contraction, Expansion, and Equilibrium via Quantitative Formulas for Internal and External Energies and Deriving Energy Motion Distance

This study mathematically defines the conditions for the equilibrium, expansion, and contraction of internal and external energy, predicated on energy density differentials and their interactions. Additionally, these formulations were applied to derive the kinetic distance of dark energy particles as it responds to variations in Unified field force and Dark energy.