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IndisputableMonolith.Gravity.SevenGaps.FullTheoryLedger

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Status ledger of full-theory benchmark flags for the QG seven-gaps gravity campaign. Each boolean field is licensed only by a named target theorem whose kernel-checked existence would flip it. Gap residual DAGs, measure bindings, and EH4D audits import these flags as the honest closure surface. The module is a pure status record: certified blockers plus open-pillar witnesses, not a derivation of new dynamics.

claimA full-theory benchmark record with boolean flags for Pillar-1, Pillar-2, Pillar-3, and overall full-theory closure, plus certificates that the campaign starting line is anchored and that selected Gap-2 measure-selection blockers are certified. Each flag may be set true only when a named target theorem exists and is kernel-checked; presently the full theory is recorded as not yet closed and all pillars remain open.

background

The Seven-Gaps campaign tracks what has been proved toward a Recognition-Science quantum-gravity closure and what remains open. Its companion CampaignLedger records, per gap, a scoped proved increment and an open full-strength target, and intentionally does not flip any full-strength QGScopeAudit flag.

This module sits one layer above that ledger. It packages the full-theory benchmark flags: every field names the exact theorem whose existence would license flipping the bit. Upstream imports supply the concrete blockers that keep those bits false: path-sum measure non-uniqueness under relabeling, positivity, and normalization; flat-spectrum underdetermination of curvature coupling; fixed-weight structure functions versus ADM metric-dependent brackets; combinatorial triangulation classes that do not carry metric geometry; and the capped-quotient to exact-shell carrier bridge.

Local convention: a pillar or full-theory flag is a Bool status surface, not a physics claim. Downstream residual DAGs and audits read these Bools as the honest closure interface.

proof idea

Definition and status module, not a derivation. It assembles a benchmark record whose fields document target theorems, wires in the imported gap blockers as certified open-side evidence, and exposes witnesses such as full-theory-not-yet-closed and all-pillars-open. Closure bits stay false until the named kernel-checked theorems exist; no tactic proof discharges a pillar here.

why it matters in Recognition Science

This is the honest full-theory status surface for the seven-gaps gravity stack. Downstream modules import it to bind residual DAGs and audits to a single flag record: Gap-2 continuum/measure residual DAG and measure-status binding, Gap-2 fugacity and incidence-silence verdicts, Gap-4 operator decoy receipt (curved-spectrum countermodels), Gap-5 constraint residual and close-status modules, and the SRSConvergesEH4D audit that requires ledger flags and honest inhabitants to go green together.

In the campaign architecture it separates scoped increments (already in CampaignLedger and the blocker files) from full-strength pillar closure. That separation keeps EH4D and measure-side claims from over-claiming while the curved-operator, dynamic structure-function, and metric-refinement blockers remain in force.

scope and limits

used by (15)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (9)

Lean names referenced from this declaration's body.

declarations in this module (19)