HγC N2: Structured Near-Critical Bands and Residual Phenomenology in the HγC Framework

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…