← RG-SCP: The Counterexample Universe, Obstruction Covers and Self-Audits / The world-information fixed-point no-hole conjecture

RG-SCP: The Counterexample Universe, Obstruction Covers and Self-Audits The world-information fixed-point no-hole conjecture unsigned in the source

Goldbach World-Information Fixed-Point No-Hole Conjecture

Proposed as a conjecture program: if the primes are representation-independent fixed points of an (undefined) 'world-information' operator and an additive composition Σ is faithful, then the prime-pair sum projection π: 𝒢 → Γ_E has no empty fibre (π(𝒢) = Γ_E); stronger global-section, successor-transport and trivialization variants are added. It proves only the trivial implication GWI-GS ⇒ Goldbach and lists proof obligations O1–O7 and circularity traps.

This is a conjecture program with status 'UNPROVEN'; in the integer model 'π⁻¹(E) is non-empty' is Goldbach itself. The closing status block reads: Strong Goldbach proved here: NO; World-information no-hole theorem proved here: NO; Global section constructed: NO; Fixed-point successor transport constructed: NO. The primitives (world space, operator, Σ) are never defined, so it must not be presented as a result. The file carries no author or AI-role line; its math uses \[ \] and \( \) delimiters.

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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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