IndisputableMonolith.Gravity.SevenGaps.WickActionCutLimitFamilyAudit
Audit module for the parameterized Wick action cut-limit family on the causal range α > 7/12. It sits over the Wave C4 F1 family that generalizes the α=1 six-lemma route to every admissible cut exponent. Gravity workers closing SevenGaps succession cite it to confirm the family is wired and pointwise. The module is an import-level audit shell, not a new proof engine.
claimAudit surface for the Wick action cut-limit family parameterized by cut exponent $\alpha$ with $7/12 < \alpha$, generalizing the fixed-$\alpha=1$ six-lemma cut-limit route to the full causal range, with all statements held pointwise in $\alpha$ (no uniform-in-$\alpha$ bound; the Lorentz factor $K(\alpha)\to 1$ as $\alpha\to\infty$).
background
SevenGaps is the gravity gap stack in Recognition Science. Gap-6 work concerns Wick-rotated action cut limits: how a Euclideanized action, cut at a fractional exponent, recovers the physical Lorentzian limit under controlled remainder estimates.
The upstream family module (Wave C4 F1, design D-gap6-v2-succession-family-design-20260723) lifts the original six-lemma route written for the single value $\alpha=1$ to every cut exponent in the open causal window $\alpha>7/12$. Proofs stay pointwise in $\alpha$; there is deliberately no uniform bound, because the Lorentz prefactor $K(\alpha)$ drifts to 1 only as $\alpha\to\infty$.
This audit module imports that family and exposes a thin verification face so downstream gravity lemmas can depend on a single audited entry rather than on raw family internals.
proof idea
Definition and audit shell, not a theorem module. It imports the parameterized cut-limit family and re-exports or sanity-checks its pointwise lemmas under $7/12<\alpha$. No independent tactic proof lives here; mathematical content is entirely upstream in the family (generalized six-lemma route, pointwise in $\alpha$).
why it matters in Recognition Science
Closes the audit gate on Wave C4 F1 inside Gravity.SevenGaps. The parent scientific object is the succession-family design that replaces the rigid $\alpha=1$ Wick cut-limit path with a full causal family. Downstream gravity arguments that need a cut exponent other than 1 depend on this audited face rather than on ad-hoc re-proofs. It does not itself advance T0–T8 forcing, RCL, or the phi ladder; it is infrastructure for the gap-6 gravity remainder estimates that sit above those foundations.
scope and limits
- Does not prove any new cut-limit lemma beyond the imported family.
- Does not supply a uniform-in-α bound; limits are pointwise only.
- Does not treat α ≤ 7/12 (outside the causal window).
- Does not identify a downstream consumer; used_by is empty.
- Does not address mass-ladder, alpha-band, or T0–T8 forcing claims.