IndisputableMonolith.Gravity.SevenGaps.Gap2EnrichedCarrierPhaseAudit
Audit layer for the Gap-2 enriched-carrier phase construction that targets the continuum R5 residual on oscillatory tails. Gravity and quantum-gravity workers cite it when checking that the Wave-C R5 attack stays below ExactPathClass and matches decision D-qg-c1-r4-enriched-carrier-20260722. The module is structural bookkeeping over the imported phase development rather than a new existence proof.
claimAudit of the enriched-carrier phase response to the continuum residual $\mathrm{TypedResidual}_{\mathrm{continuum\_substrate\_oscillatoryTail}} := \exists\,\mathrm{phase},\;\mathrm{OscillatoryTail}(\mathrm{phase})\land\neg\mathrm{OscillatoryTail}(0)$, confirming the construction remains strictly below $\mathrm{ExactPathClass}$.
background
Recognition Science gravity work isolates seven named gaps between the discrete ledger and continuum phenomenology. Gap 2 concerns the continuum substrate residual that an oscillatory tail can exist for some phase while the zero phase has none. The upstream module Gap2EnrichedCarrierPhase implements decision D-qg-c1-r4-enriched-carrier-20260722 as a Wave-C R5 attack: an enriched-carrier phase living strictly below ExactPathClass.
ExactPathClass is the rigid continuum identification that would collapse the residual; staying below it keeps the attack from overclaiming uniqueness of the path. OscillatoryTail is the predicate that a phase carries a non-trivial oscillatory continuum signature. The audit module sits one import above that construction and records compliance checks rather than re-deriving the phase object.
proof idea
This is an audit module over a single import, not a free-standing proof development. It re-exports and checks the Gap2EnrichedCarrierPhase construction against the stated residual and the ExactPathClass bound. Expect definitional wrappers, status lemmas, and compliance assertions rather than a multi-step existence argument. No independent tactic script is the point; the structure is import-and-verify.
why it matters in Recognition Science
In the SevenGaps gravity program this module is the compliance checkpoint for the Wave-C R5 attack on the continuum oscillatory-tail residual. Downstream consumers (none linked yet in the graph) would rely on it to treat the enriched-carrier phase as audited before folding Gap 2 into larger continuum-matching theorems. It ties the decision record D-qg-c1-r4-enriched-carrier-20260722 to a machine-checkable surface without promoting the construction to ExactPathClass, which would erase the residual rather than answer it.
scope and limits
- Does not prove existence of a new oscillatory-tail phase beyond the imported module.
- Does not discharge the residual by forcing ExactPathClass.
- Does not address the other six SevenGaps items.
- Does not derive numerical gravity constants or mass-ladder rungs.
- Does not claim a used-by edge into a parent continuum theorem yet.