This paper investigates the dynamical formation and growth of domains in stabilisation lattice dynamics. Starting from disordered initial conditions, we measure the evolution of characteristic domain size using sign-field correlations. We find that domain growth follows an approximate power law L (t) ~ tᵃlpha with exponent alpha ≈ 0. 39, which is smaller than the value expected for curvature-driven coarsening in standard ordering systems. This slower growth indicates that domain evolution is governed by finite-range stabilisation propagation rather than curvature-driven dynamics. Within the geometric stabilisation framework, ordering spreads through local basin interactions, leading to gradual, locally mediated coarsening consistent with a screened propagation mechanism. Together with previous results on probability, correlation, spatial propagation and the absence of criticality, these findings provide a unified geometric description of both static and dynamical structure formation in stabilisation systems. Subsequent work further extends this framework through operator-based resolution dynamics and phase structure.
Luke Found (Mon,) studied this question.