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The Universal Pre-Collapse Signature - A Structural Necessity Result Near the Persistence Boundary
La Profilée defines the persistence boundary of a system under real transformation as IR = R / (F · M · K) ≤ 1. This paper derives a necessary structural consequence of approaching this boundary. It is shown that as transformation load approaches integration capacity (IR → 1⁻), stable absorption of perturbations becomes structurally impossible. As a result, any such system must exhibit a characteristic pre-collapse signature consisting of variance amplification, loss of monotonic convergence, and degradation of coupling. This result is domain-independent and follows from finite integration capacity and vanishing residual reserve. Absence of this signature under verified boundary approach constitutes a falsification of the operational form of the persistence condition.
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