IndisputableMonolith.Gravity.SevenGaps.Gap4OperatorDecoyReceiptAudit
Audit layer for the Gap-4 operator decoy receipt in the Seven Gaps gravity program. It records that the curved-spectrum convergence predicate is already satisfied by scalar-coupling countermodels (couplings 1 and 2), so spectrum convergence alone does not force ledger-close behavior. Gravity and QG residual workers cite it when discharging the Wave C3 R0 falsify-before-proving residual. Structure is import-and-audit: it sits on the decoy-receipt module and does not introduce new physics lemmas.
claimModule-level audit of the Gap-4 operator decoy receipt: the proposition that a curved spectrum converges is inhabited by both scalar-coupling countermodels with coupling in $\{1,2\}$, hence spectrum convergence does not imply ledger-close residual control. The audit freezes that negative fact for the Wave C3 residual DAG entry on typed residuals whose countermodel spectrum is not ledger-close.
background
Recognition Science gravity work tracks seven named gaps between curved-operator spectra and ledger-close residuals. Gap 4 concerns whether convergence of a curved spectrum already forces the residual to sit on the recognition ledger. The parent decoy-receipt module (Wave C3 R0) is the falsify-before-proving residual drawn from the QG Wave C3 Gap-4 residual DAG draft: it isolates the typed residual whose countermodel spectrum is not ledger-close.
Upstream, the existing curved-spectrum convergence proposition is already inhabited by both scalar-coupling countermodels with coupling in ${1,2}$. Those operators therefore serve as decoys: they satisfy the spectrum predicate while failing ledger-close control. This audit module imports that receipt and freezes the negative observation so later Gap-4 proofs cannot silently treat spectrum convergence as sufficient.
Local setting is the Seven Gaps gravity stack under IndisputableMonolith.Gravity: residual bookkeeping before any claim that curved operators close onto the $\phi$-ladder mass or force ledger identities.
proof idea
Definition and audit module, not a theorem package. It imports the Gap-4 operator decoy receipt and exposes the residual status that curved-spectrum convergence is already realized by the scalar-coupling countermodels. No new constructive proof is required: the argument is the inhabited countermodels themselves, recorded so the residual DAG entry remains open until a stronger ledger-close predicate replaces bare spectrum convergence.
why it matters in Recognition Science
Holds the Wave C3 R0 falsify-before-proving slot in the Gap-4 residual DAG. Without this audit, a later proof could cite curved-spectrum convergence as if it implied ledger-close residuals, even though couplings 1 and 2 already counterexemplify that implication. Downstream gravity and quantum-gravity closure work depends on the residual staying visible until a tighter operator or ledger predicate is proved. In the broader RS forcing picture this is bookkeeping, not a T0–T8 step: it protects the gravity side from overclaiming spectrum facts before ledger identities (and ultimately $G = \phi^5/\pi$ linkage) are under control. No parent theorem yet consumes it (used-by is empty); it is a residual freeze point.
scope and limits
- Does not prove curved-spectrum convergence for physical couplings.
- Does not construct or classify all Gap-4 countermodels beyond couplings 1 and 2.
- Does not discharge the ledger-close residual; it only audits the decoy receipt.
- Does not derive Newtonian or relativistic gravity limits from the receipt.
- Does not touch T5–T8 forcing, RCL identities, or the alpha band.