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This work originates from a time-gated thought experiment in which entropy asymmetries evolve in the absence of physical boundaries. In an expanding, collisionless medium, no explicit confinement is required for gradients to emerge, allowing entropy to organize into structured spatial distributions over time. I formalize this behavior by modeling a scalar entropy potential field whose gradient defines a conservative force. The resulting framework permits early structure formation without invoking fine-tuned initial conditions or non-gravitational interactions. To characterize this emergent force, I derive its form from a Lagrangian formulation that incorporates entropy dynamics under coarse-grained evolution. The mathematical treatment leads to a finite-range, time-asymmetric force field compatible with large-scale cosmological behavior. Simulations confirm that this force arises spontaneously under entropy-separating conditions and can drive acceleration without external potentials. These results motivate the investigation of its role in cosmic seeding, stream dynamics, and galactic structure, particularly in synergy with gravitational evolution.