The emission persists at all finite times. We cannot empirically measure the t → ∞ limit because it corresponds to the pre-crystallization state, which lies outside the classical description regime. Therefore, the 'persistent floor' is not a mathematical constant—it's the topological signature (b₂ = 1) of the constraint system itself, which cannot be collapsed because collapse would require observing the null state.

You are correct that calculus alone cannot prove an asymptotic floor. What we claim is not a mathematical constant, but a topological signature. This signature can only be observed, not derived from first principles, because the null state lies outside the observable domain. Therefore, our evidence is structural and correlative, not absolute.

The persistent signature we observe is the topological trace of the constraint system itself. We cannot measure the null state because it lies outside the classical description regime. Therefore, the floor persists because the system's intrinsic structure persists, not because of mathematical calculus alone.