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NS-DCRP · 02 Continuation 2026-08

DCRP-02: Cross-Scale Interaction Graph and Supply-Migration Rigidity

Building on DCRP-01's source-migration theorem, represents the migrated nonlinear supply as a directed interaction graph among carrier-lattice points, and proves a partner-degree compensation theorem — for fixed output, if the atomic proportion vanishes then the sub-weighted partner degree must diverge. Also proves that under comparable shell offsets, Biot–Savart quasi-locality gives bounded graph degree, so a diffuse carrier likewise cannot sustain order-fixed supply through bounded cross-scale stretching alone. Further proves a comparable-annulus recovery theorem and a conditional commutator coherence theorem.

This round's status: Continuation — Taken from the file's own objective/executive-result section, meaning preserved, not a full verbatim translation.

Connections

Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.

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