In this study, we develop an extremal principle governing the far-from-equilibrium evolution of a system composed of structureless particles, utilizing the stochastic generalization of the quantum hydrodynamic analogy with random curvature wrinkles due to the gravitational background noise (GBN). For a classical phase, where quantum correlations decay over distances shorter than the average inter-molecular separation, the far-from-equilibrium kinetic equation can be formulated as a Fokker-Planck equation. We derive the velocity vector in phase space that maximizes the dissipation of a function analogous to energy, termed stochastic free energy. In quasi-isothermal, far-from-equilibrium states without chemical reactions—where elastic molecular collisions dominate—the maximum SFED reduces to Sawada's principle of maximum free energy dissipation. However, in the presence of chemical reactions or significant thermal gradients, this principle is violated, as additional dissipative contributions emerge, linking the true maximum to stochastic free energy dissipation. The study also shows that Malkus and Veronis's principle of maximum heat transfer is a special case of the theory. Generally speaking. as systems strive for maximum SFED, they progress toward equilibrium by transitioning through increasingly ordered states, facilitating self-organization of matter. Nonetheless, the self-organization in fluids and gases is insufficient to form complex living structures, requiring a series of additional conditions such as the need of solid rheological properties, united to the need of information storing. The work highlights synergistic effects and efficiency-enhancing tendencies driving evolution, revealing new analogies between biological and social systems. Furthermore, it suggests that natural intelligence, as well as the consciousness, are inherent characteristics of the universe's physics, though certain side effects of the natural selection complicate the advancement toward efficiency and prosperity. The theory demonstrates that the ordering process is not continuous but experiences catastrophic events and collapses, which lead to the formation of new, more efficient systems. Finally, contemporary social behaviors are analyzed from the standpoint of the theory, including aspects such as monetary inflation control, economic expansion-recession cycles and the alternation between war and peace, providing insights on how to better address current challenges.