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RG-SCP: The Counterexample Universe, Obstruction Covers and Self-Audits RG-SCP 02 · The failure obstruction cover Author line in the source: Neo.K; Aletheia (GPT-5.6 Sol)

Goldbach Failure Obstruction Cover: From Prime-Complement Failure to Least-Prime-Factor Partition

Proves that N is a failure iff there is a total proper obstruction map p ↦ prime r with r | (N − p), r ≤ √(N − p) on the prime inputs (canonically lpf(N − p), giving a partition into least-factor cells), and that a prime r | N can obstruct only p = r (divisor self-suppression).

Failure is equivalent to an exact obstruction cover; this is an elementary equivalence, not a proof. 'Entropy / energy / load' quantities are diagnostics only (V0-02 types them as class H).

Connections · Connections

PreviousRG-SCP 01 · The counterexample universe and the minimal failure state · Reverse Goldbach Structural Closure Program 01 — Counterexample Universe and Minimal Failure State
NextRG-SCP 03 · M6 and wheel obstruction geometry · M6/Wheel Obstruction Geometry and Counterexample Coverage Cost

This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.

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