DCRP94 / X72R77: Kelvin Reset Graph and the Nonpositive-Homogeneity Sidecar Theorem

Following DCRP93's isolation of the positive-homogeneity critical replacement conveyor C_work^{+h}, this round proves that this conveyor cannot by itself constitute a complete same-parent regeneration mechanism and must be paired with a circulation-reset 'sidecar.' Using DCRP88's finite family of circulation states and the strict Type-II Kelvin holonomy contraction rate ρ_Γ<1, it derives an exact reset Duhamel formula and proves that on the finite material-shadowed loop-state graph, every block of M+1 generations must contain either a carrier/state replacement or a uniform circulation-reset event, and that this reset carries exactly the nonpositive homogeneity D93 required. The round admits that it has not yet proved the reset source has finite total capacity — a constant-circulation recurrence counterexample shows that a p=0 reset can persist algebraically forever — leaving the next round to address whether the SGS circulation-reset source has finite capacity, framed as a phase-slip encapsulation problem.