Emergence and Dynamics of the Entropy Gradient Force in 3D Collisionless Systems

I present a first-principles numerical study of the Entropy Gradient Force (EGF) in a 3D expanding collisionless system. Three simulations are conducted: (1) a post-hoc analysis showing EGF emergence from passive expansion, (2) a dynamic feedback simulation in which the EGF actively modifies particle evolution, and (3) a fully dynamical model with EGF and gravitational interaction. Results confirm that EGF is a genuine thermodynamic force with persistent structural impact, robust to post-processing choices, and capable of interacting with gravitational fields.