Why Infinite Integration Capacity is Impossible - The Structural Closure of the Persistence Domain

This paper proves that infinite integration capacity is structurally impossible under the minimal conditions of persistence. Assuming IK → ∞ forces IR → 0 for all finite transformation loads, making every transformation admissible. This collapses selective admissibility, forces full transitivity, and reduces all identity classes to a single equivalence class — violating C3. Infinite capacity does not stabilize identity. It eliminates the boundary condition that makes identity possible. This result closes the LP persistence domain from above. Together with the structural exclusion of undifferentiated origin (Paper 131), equilibrium (Paper 134), and overload (IR > 1, Papers 80/103), the domain of persistent identity under real transformation is now structurally complete. Outside these four bounds, the persistence problem is not difficult. It is undefined.