Abstract
How spatial enclosure, environmental displacement, and internal temporal persistence become coupled during the emergence of cellular organization remains unresolved. We investigated these processes using a minimal two-dimensional coupled-field model containing chemical components, membrane density and thickness, and a delayed temporal-retention field. No goal, survival criterion, target displacement, or target persistence was imposed. Membrane patches formed only when lipid precursor and microtopographic residence structure were both present, whereas temporal dynamics alone did not generate a boundary. Following formation, chemically structured exposure displaced membrane material even in the absence of temporal dynamics. Eliminating explicit chemical-potential transport did not abolish displacement; instead, centroid motion was associated with spatial remodeling of membrane density and thickness. Temporal persistence was mechanistically distinct from this movement. Lipid-only and spatially shuffled temporal patches failed to retain internal dynamics beyond the intrinsic relaxation timescale, whereas coherent delayed dynamics produced moving patches with an internal characteristic timescale exceeding that baseline. Temporal persistence also increased with membrane thickness over the observed range. These results show that boundary formation, physicochemical displacement, and internal temporal persistence are separable properties that can subsequently become coupled within the same moving membrane structure.