Phase-5b: A Frozen Carrier-Spinor Regime Law for Dissociative Galaxy-Cluster Collisions

This archive contains the paper: Phase-5b: A Frozen Carrier-Spinor Regime Law for Dissociative Galaxy-Cluster Collisions The paper develops and tests a frozen carrier-spinor regime law for dissociative galaxy-cluster collisions within Phase-5 global closure geometry. The central empirical claim is that externally defined carrier geometry admits the test, while the frozen closure-gradient operator selects the collision regime. The construction uses a six-sector carrier-exchange geometry, fixing the protected carrier aperture by R = D_carrier / 6. The response operator is derived from closure-gradient transport and applied to Chandra soft-band X-ray data through an image-normalized closure-gradient proxy. The protected transverse core-width eta_perp is computed before classification and is not fitted to the final regime label. The primary empirical atlas tests the frozen law on A2146, A520, A2744, El Gordo, A2029, and ZwCl0008. These systems cover the practical regime map: NO_DISSOCIATIVE_REGIMEBALANCED_PHASE_LOCK_CANDIDATEONE_SIDED_PHASE_STRAINANTI_PHASE_MIXEDANTI_PHASE_MIXED_WITH_CORE_LOCKCOMPLEX_MULTI_STRUCTURE_STRESSTRANSITIONAL_DOUBLE_RELIC_STRESS Across the primary dissociative systems, the protected width remains stable at approximately eta_perp = 0.081 to 0.085. The archive includes two supplementary ZIP packages. GEOM_PHASE5B_ALL_CERTIFICATES_MASTER.zip contains the primary empirical certificate package, including summary files, regime-map tables, object-level certificate products, robustness audits, null audits, and supporting diagnostic outputs. SECONDARY_ATLAS_FINAL__20260502_043400.zip contains the secondary Chandra atlas used in Appendix C. It includes additional relaxed controls, external-axis replication tests, null-stress audits, smoothing audits, leave-one-out checks where applicable, and secondary object summaries. The secondary atlas is not used to define or tune the law. It is included as an additional replication and robustness package. All empirical classifications follow the fixed rule: external carrier geometry first;frozen regime operator second. Artificial axes, X-ray-selected axes, and post-result visual choices are treated only as null or stress diagnostics, not as final carrier certificates.