During entropy production of an irreversible process where a net heat flow of entropic energy is detected in a system regardless of its spontaneity, the total net entropic energy of the universe increases owing to the net repulsive forces. The collision of heated particles with stochastic Brownian motions as an impedance to useful work forms a turbulent flow of chaotic interactions between constituents of the universe which results in a net repulsive force. The enlargement of the universe in an irreversible process in a non-equilibrium state continues until the net attractive forces overcome the net repulsive forces, and this process continues until the universe reaches an equilibrium. Using the entropy production relation of the statistical mechanics, we show a simplistic version of converting the inequality between Helmholtz free energy and the work for macroscopic objects through an irreversible process of non-equilibrium thermodynamics to the equality of the work of reversible microscopic fluctuations with the free energy of the very collective irreversible process. There, we further found a mathematical solution to the Gibbs free energy using the entropy production relation which led us to Newton's second law of motion. The extraction of Newton's law of motion from the lowest nonzero bound of entropy for the displacement of a single particle through a microscopic state in space may be implying about entropic energy foundation from an unknown entity.