We investigate the internal structure of self-selected near-critical regimes in the HyC framework. Building on the minimal numerical route established in HyC N1, we study how a sharp preferred coarse-graining attractor broadens into a finite band once microscopic bridge variables, environmental response, and ensemble heterogeneity are allowed to vary across systems. Rather than treating the near-critical sector as a single universal point, we show that it is more naturally described as a structured band in coarse-graining space. Within this band, the effective accumulation response remains high but not identical across systems, so that common RAR-like scaling can coexist with organized residual scatter and morphology-dependent internal stratification. This band picture clarifies why galactic phenomenology may exhibit both robustness and diversity at the same time. The mean relation reflects concentration into a shared near-critical sector, while the residual structure reflects how systems populate different subregions of that sector under varying accumulation histories and effective environments. The present paper is intended as a minimal structural extension rather than a precision observational fit. Its main result is to show that near-critical organization in the HyC framework should be understood not merely as point selection, but as finite band formation with internal structure.
Hans Van Cools (Tue,) studied this question.
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