Phase-5 Macroscopic Closure: Carrier–Gas–Curvature Separation in Dissociative Galaxy-Cluster Collisions

This record contains a Phase-5 companion article and supplementary certificate package in the constrained null-geometry research program. The main Phase-5 article, “Phase-5 Global Closure: Time-Gradient Curvature and the Geometric Origin of Newton’s Constant,” derives gravity as the global closure limit of protected scalar-response geometry. In that work, curvature is obtained as the time-gradient form of the global realization lapse, with the local acceleration law a = -c^2 grad log T. The present companion article applies that Phase-5 global-response structure to dissociative galaxy-cluster collisions. The article “Phase-5 Macroscopic Closure: Carrier–Gas–Curvature Separation in Dissociative Galaxy-Cluster Collisions” derives a macroscopic carrier–response separation law. The central claim is limited: in post-collisional dissociative mergers, the collisionless carrier center, the dissipative X-ray gas-response center, and the weak-lensing curvature-response center need not coincide. The primary observational anchor is Abell 2034. Published weak-lensing and X-ray analyses give a projected carrier separation of 727 ± 142 kpc and an X-ray displacement of 169(+48/-42) arcsec from the southern weak-lensing mass peak, corresponding to approximately 348 kpc and chi_gas ≈ 0.479. The supplementary material provides the certificate ledger, A2034 numerical anchors, SCLA/Subaru optical-layer sanity checks, multi-system dissociative-merger comparison certificates, relaxed-cluster negative controls, and the C9-WL published weak-lensing coordinate-lock certificate. No independent weak-lensing reconstruction is claimed. Published weak-lensing mass peaks are used only as external coordinate anchors.