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Cubic-fourfold rationality scope audit

Family 054: Irrational cubic fourfolds with Hodge-theoretic and categorical K3 associations. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Separate irrationality claims for very general large-discriminant cubic fourfolds from categorical or Hodge association with a K3 surface.

Applicability and commercial boundary

The threshold is ineffective and very-general assumptions exclude a universal finite rationality classifier.

Initial business decision

Research reference or conditional symbolic/verification engineering. No recurring buyer need, practical implementation or profitability has been demonstrated. Defer a standalone commercial product until a constructive example and a measurable workflow improvement exist. These records also identify unsupported inferences that an evidence platform could flag.

Next verification action

Inspect whether any explicit discriminant threshold or computable instance survives the proof.

Evidence scope

The repository catalog statement was individually read. Main-paper construction, effectiveness and selected formal-scope comparison remain queued for this record. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Irrational cubic fourfolds with geometric K3 categories.