Input statement: Joint-extension handoff

The eleven-branch inventory, the widened class ${\mathfrak{C}}_{\mathrm{tot}}\subset {\mathfrak{C}}_{\mathrm{part}}$, and the elementary parallel-line extensions are constructed. The parallel kinetic primitive has scaling degree $8$ and codimension $4$.

Collision exclusion and the $Z_3$ bounds do not establish the joint off-collision product: distinct null-related vertices can carry a nonzero wavefront cancellation. The coefficient linear in $\hslash$ remains Unresolved. That is a failed sufficient product criterion, not a nonexistence theorem. The free differential was not applied to ${R_1}^{(1)}$. No gauge-consistency defect was opened XIIIC.