IndisputableMonolith.Gravity.Analysis.RecognitionMeshHingeKappa4DAudit
Audit layer for the Wave B residual on hinge coupling kappa in the 4D recognition mesh, under source-dominated admissibility and without an x-ratio parameter. Gravity and QG workers cite it when checking that the residual identification matches the planned DAG proposition. The module is structural bookkeeping over the analysis import rather than a new derivation.
claimAudit of the residual identification for the hinge coupling $\kappa$ on the 4D recognition mesh, restricted to source-dominated admissibility and with no $x$-ratio degree of freedom, against the Wave B residual $R_2$ target.
background
Recognition Science gravity analysis treats residual gaps in the quantum-gravity completion plan as typed obligations. Wave B residual $R_2$ concerns identification of the hinge coupling $\kappa$ on the recognition mesh in four dimensions.
The parent analysis module records a QG full-completion attack on the typed residual that $\kappa$ is identified, under source-dominated admissibility and without an $x$-ratio parameter. It also notes a recorded divergence between the DAG proposition shape and the Lean shape of that residual.
This audit module sits one import above that analysis. It does not redefine $J$-cost, the $\phi$-ladder, or the forcing chain; it only organizes checks that the hinge-$\kappa$ residual story is stated and discharged consistently with the Wave B plan.
proof idea
This is an audit module, not a theorem module. It imports the hinge-$\kappa$ 4D recognition-mesh analysis and exposes audit-facing structure around the Wave B residual $R_2$ identification. There is no independent proof body at module scope; argument content lives in the imported analysis declarations.
why it matters in Recognition Science
In the Recognition gravity stack, hinge $\kappa$ on the 4D mesh is a residual that must close for the Wave B QG completion path. The upstream analysis targets the typed residual that $\kappa$ is identified under source-dominated admissibility (no $x$-ratio). This audit module exists so that residual can be reviewed against the planned DAG proposition and the recorded Lean-shape divergence, without mixing audit scaffolding into the analysis file itself. No downstream consumers are wired yet; the module is a review gate rather than a parent theorem feeder.
scope and limits
- Does not prove identification of hinge $\kappa$; that lives in the imported analysis.
- Does not introduce $x$-ratio admissibility; the residual is source-dominated only.
- Does not resolve the recorded DAG-proposition versus Lean-shape divergence.
- Does not feed downstream theorems yet; used-by is empty.
- Does not redefine $J$, $\phi$, eight-tick structure, or $D=3$.