← RG-SCP: The Counterexample Universe, Obstruction Covers and Self-Audits / RG-SCP 01 · The counterexample universe and the minimal failure state

RG-SCP: The Counterexample Universe, Obstruction Covers and Self-Audits RG-SCP 01 · The counterexample universe and the minimal failure state Author line in the source: Neo.K; Aletheia (GPT-5.6 Sol)

Reverse Goldbach Structural Closure Program 01 — Counterexample Universe and Minimal Failure State

Recasts Goldbach as emptiness of the counterexample universe C_G, defines the minimal failure state N_* = min C_G, a monotone admissibility filtration A_0 ⊇ A_1 ⊇ … and a split into a proof channel and a heuristic channel; only 'C_G ⊆ A_k and A_k = ∅' would give Goldbach.

RG-SCP 01 is a reformulation and bookkeeping framework (well-ordering plus a filtration), not a proof; it says 'not a proof of the Goldbach conjecture'. A_k is defined with F_G(N) = 1 inside it, which is circular; V0-01 repairs it to the externally defined outer approximation A_k^P ⊇ C_G.

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PreviousThe world-information fixed-point no-hole conjecture · Goldbach World-Information Fixed-Point No-Hole Conjecture

NextRG-SCP 02 · The failure obstruction cover · Goldbach Failure Obstruction Cover: From Prime-Complement Failure to Least-Prime-Factor Partition

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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