IndisputableMonolith.Gravity.SevenGaps.Gap2TickPhaseSubstrateAudit
Audit layer for the Gap-2 exact-shell tick-phase enrichment schema. It sits on the Wave C1 R2 residual banked by the substrate module: path classes already quotiented by global equivalence, then enriched by a discrete tick assignment. Gravity and quantum-gravity workers cite it when checking that the schema residual is discharged rather than restated. Structure is import-and-audit: no new physics objects, only verification surface over the substrate.
claimModule-level audit of the Gap-2 tick-phase substrate: for each shell index $n$, the exact path class $\mathrm{ExactPathClass}(n)$ (global-equivalence quotient of shell signatures) is checked against the discrete tick-phase enrichment schema named as residual R2 in the Wave C1 Gap-2 plan, without introducing a new dynamical law.
background
Recognition Science gravity work tracks seven named gaps between the discrete recognition ladder and continuum GR. Gap 2 concerns tick-phase structure on exact shells: once paths are reduced to $\mathrm{ExactPathClass},n$ (the GlobalEquivalent quotient, sigma over shell signatures of the exact setoid quotient), one still needs a coherent discrete tick assignment that respects the eight-tick octave forced at T7.
The upstream substrate module banks that schema residual (Wave C1 R2 / CORE 2 PHASE design): it records the enrichment interface rather than proving continuum recovery. This audit module imports that bank and exposes the residual for mechanical review. Local setting is the SevenGaps gravity stack, not the T0–T8 forcing chain itself; phi-ladder mass and $J$-cost appear only indirectly via shell indexing.
proof idea
This is an audit module, not a theorem module. It imports the Gap2 tick-phase substrate and organizes residual checks against the R2 schema (exact-shell path classes plus tick assignment). No standalone constructive proof is introduced here; the argument structure is dependency surface and status reporting over the banked enrichment interface.
why it matters in Recognition Science
Closes the review surface for Wave C1 Gap-2 residual R2 so later gravity theorems can assume the tick-phase enrichment schema is audited rather than open-ended. Feeds no downstream declarations yet (used_by is empty); its parent context is the SevenGaps program and the HardCore Gap-2 design notes. Ties to framework landmark T7 (eight-tick octave) only as the discrete period the tick assignment must respect. Does not itself force $D=3$ or the $J$-uniqueness step.
scope and limits
- Does not prove continuum GR recovery from the tick-phase schema.
- Does not define ExactPathClass or the exact setoid; those live upstream.
- Does not discharge other SevenGaps residuals beyond Gap-2 R2 audit.
- Does not alter c, hbar, G, or alpha-band constants.
- Does not supply a used_by theorem; downstream consumers are not yet wired.