This paper develops the next stage of the P-series by sharpening the bounded comparison between the boundedly closed Track A galactic object and the Track B projected-profile morphology object in the HγC framework. P1 established that the relation between these two branches should not yet be formulated as full integration, but rather as bounded comparison organized through support-bearing correspondence, projection-conditioned residue, and branch-sensitive tension. P2 takes the next justified step by arguing that bounded comparison cannot remain morphology-blind once the internal maturity of the projected-profile branch is taken seriously. On the Track A side, the paper restates the O6 handoff object as an asymmetrically organized maturity structure with a support-bearing core, bounded residue, and contained tension. On the Track B side, it reformulates the projected-profile object through its internal nonequilibrium morphology classes, especially broadened peaks, lagged peaks, residual peaks, and partial realignment. The central claim is that bounded comparison in this setting is morphology-dependent. Some projected-profile classes are support-weighted, especially where broadened organization, retained localization, and persistent redistributed structure remain comparably readable against the Track A support core. Other classes are residue-weighted, especially where projected persistence remains real but no longer carries the main positive correspondence burden. Still others are tension-sensitive, especially where strong displacement, strongly nonequilibrium persistence, or incomplete reorganization expose typed local limits of cross-branch readability. The scope of the paper is deliberately limited. P2 does not claim full branch integration, unique inversion from galactic residual morphology to projected-profile morphology, precision merger-system reconstruction, relativistic completion, or temporal W-series reformulation. Instead, it establishes morphology-dependent bounded comparison as the next intermediate layer after P1 and prepares the later boundary clarification of P3.
Hans Van Cools (Sun,) studied this question.