Recursive Load Distribution in Numerical Systems: A Tier-7 Instantiation of the Closed vs Distributed Recursion Law

This technical note presents a Tier-7 domain instantiation of the recursion-under-load principle formalised at Tier-6 within the Paton System. It demonstrates that numerical stability theory exhibits the same structural distinction: closed recursion under sustained amplification leads to boundary collision, while distributed constraint mechanisms preserve bounded continuation. No new operators are introduced and the foundational admissibility spine (Gate → Datum → ℘) remains unchanged. The document functions as a domain overlay illustrating structural invariance between abstract recursion theory and engineering practice.