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IndisputableMonolith.Gravity.Analysis.ReggeEdgeStencil4DAudit

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Audit layer for the 4D Regge edge stencil: Freudenthal 4-cube edge classes and the provisional finite quadratic form used in the QG kernel campaign. Gravity analysts cite it to confirm that the stencil packaging matches the 3D TT edge-class pattern before attaching curvature or zero-mode analysis. The module is structural bookkeeping over the imported stencil definitions, not a new existence proof.

claimAudit package for the 4D Regge edge stencil: classification of edges of the Freudenthal subdivision of the 4-cube, together with the provisional finite quadratic form on those edge classes that extends the 3D TT edge-coefficient / hinge-diagonal packaging.

background

Recognition Science gravity work builds discrete curvature from Regge-type edge data on triangulations. In 3D, the TT (transverse-traceless) sector is packaged by finite edge-class coefficients and hinge-diagonal blocks. The 4D campaign lifts that pattern to the Freudenthal subdivision of the 4-cube: edges fall into finitely many combinatorial classes, and a provisional quadratic form is assigned on those classes as the next kernel-checked increment after 4D TT edge attachment.

This audit module sits directly on that stencil module. It does not redefine the classes or the quadratic; it records and checks the bookkeeping so downstream curvature and zero-mode arguments can treat the 4D edge data as frozen input.

proof idea

Definition and audit module, not a theorem chain. It imports the 4D Regge edge stencil and organizes audit obligations (class counts, coefficient shapes, consistency with the 3D TT packaging pattern). No independent existence or uniqueness argument is proved here; structure is inheritance plus checklist-style verification against the upstream stencil.

why it matters in Recognition Science

Keeps the QG full-theory campaign honest at the 4D edge-stencil step: after TT attachment in 4D, the Freudenthal edge classes and provisional finite quadratic must be kernel-checked before hinge-aware zero modes or continuum limits. No downstream consumers are wired yet in the graph; the module is a gate between stencil definition and later gravity analysis. It parallels the 3D preflight role without claiming the continuum Einstein limit or the eight-tick / D=3 forcing results.

scope and limits

depends on (1)

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