IndisputableMonolith.Gravity.SevenGaps.DiracAlgebraContinuumAudit
Audit surface for the Wave C2 R4 continuum packaging of the dynamic bracket shape. It sits on the Dirac-algebra continuum module that closes the sampled-lapse Wronskian rate-h residual left open by the weighted structure-sum limit, together with the lattice RHS shape and dynamic structure profile. Gravity workers cite it when checking that the continuum limit object is exposed without extra hypotheses. No independent theorems live here; the module is an import-and-audit shell.
claimModule-level audit of the dynamic bracket-shape continuum limit: the rate-$h$ residual of the sampled-lapse Wronskian, packaged with the lattice right-hand-side shape and the dynamic structure profile, as a single continuum-limit object (ledger name held free).
background
Recognition Science gravity work in the SevenGaps strand tracks discrete ledger structure toward continuum limits. The upstream continuum module (Wave C2 R4) lands the sampled-lapse Wronskian rate-$h$ residual that weightedStructureSum_tendsto left named OPEN, and packages it with the R2 lattice RHS shape and the R3 dynamic structure profile as one continuum-limit statement.
That packaging is the mathematical content under audit: a continuum object for the dynamic bracket shape, with the ledger name deliberately free. The present module imports that continuum development and exposes it for gravity-side review rather than reproving the limit.
Local setting is therefore honesty and interface hygiene around the continuum claim, not a new derivation of the rate-$h$ residual or the lattice shape identities.
proof idea
This is an audit module, not a proof module. It imports the Dirac-algebra continuum development and surfaces its packaged continuum-limit object for inspection. No independent tactic scripts or term proofs are introduced here; argument structure lives entirely upstream in the continuum packaging of the Wronskian rate-$h$ residual with the lattice RHS shape and dynamic structure profile.
why it matters in Recognition Science
SevenGaps gravity needs a clean continuum handle on the dynamic bracket shape before higher continuum or mean-field claims can cite it. The upstream module supplies dynamic_bracket_shape_continuum_limit by closing the OPEN rate-$h$ residual from the weighted structure-sum limit and bundling R2/R3 shape data. This audit module is the gravity-facing checkpoint for that packaging, including the demotion/honesty notes on what remains free (ledger name). It currently has no downstream Lean dependents in the graph; its role is review and stable import rather than feeding a named parent theorem yet.
scope and limits
- Does not prove the continuum limit; that lives in the imported continuum module.
- Does not fix or discharge the free ledger name held open upstream.
- Does not supply new lattice RHS or dynamic structure identities.
- Does not claim downstream gravity theorems; used_by is empty.
- Does not address eight-tick, phi-ladder, or T0–T8 forcing content.