Effective Large-Scale Uniformity from Continuity-Constrained Structural Relaxation

This paper examines whether effective large‑scale smoothness—commonly associated with dark‑energy phenomenology—can arise as a structural consequence of admissibility constraints within a continuity‑constrained framework with bounded local deformation. Earlier work in the broader structural‑admissibility program established continuity‑preserving admissibility, bounded local deformation, exclusion of geometric rupture, finite‑capacity structural response, and the necessity of distributed high‑deformation configurations under saturation conditions. Building on these established results, the present analysis asks what large‑scale background behavior is structurally favored once persistent terminal localization is excluded. Rather than introducing new fields, modifying gravitational dynamics, or proposing an alternative cosmological model, the paper addresses a narrower structural question: if localized accumulation cannot persist indefinitely through rupture, singular collapse, or point‑like concentration, what large‑scale consequence follows for admissible redistribution? The analysis argues that, under continuity and bounded‑deformation constraints, admissible evolution proceeds through redistribution rather than indefinite confinement of localized excess deformation. Over sufficiently large scales, this structural tendency suppresses persistent deformation gradients and favors low‑gradient background states as relaxed large‑scale limits. The contribution of the present work is intentionally modest. It does not derive the full phenomenology of a cosmological constant, specify an equation of state, or identify a new stress‑energy component. Instead, it provides a structural rationale for why effective large‑scale smoothness should not be viewed as arbitrary or unexplained within the admissible class considered here. The central result is that effective large‑scale uniformity may emerge as a natural consequence of continuity‑preserving, deformation‑bounded admissible evolution, independent of any specific microscopic transport mechanism. A companion interpretive analysis, A Continuum‑Based Interpretation of the Dark Sector (Partin 2026i), examines how this structurally favored smoothness may admit a dark‑energy‑like interpretation within the broader framework.