track1TotalSymmetryStationarityEndpointProjectionCount

This module is the Gravity Track 7 integration-lane receipt for parallel fork handoffs (Tracks 1.B Schläfli stationarity at $N=5$, physical residual/Bianchi, many-body amplitude lift, Page-capacity transfer, dark-energy $w(z)$ bands, and falsifier-sensitivity packaging). It records what the new endpoints prove without upgrading the discovery claim, and keeps remaining Track 1 displacement-class leaves as open dependencies.

The named quantity is an audit count, not a geometric invariant: it tallies how many stationarity projection targets the direct total-plus-symmetry route is credited with closing. Downstream documentation identifies that route with the conformal Schläfli identity $V(t)=0$ for all $t$, which is meant to discharge the full $N=5$ weighted-deficit stationarity target in one step rather than seven per-displacement-class targets.

Definitional assignment: the constant is introduced as the natural number $1$. There is no tactic proof, lemma application, or computation. The companion equality theorem is rfl against this definition.

Sits in the Track 7 handoff ledger so reviewers can see, at a glance, that the direct total-plus-symmetry stationarity path is scored as a single closed projection. The immediate consumer is the reflexivity theorem asserting the count equals one, whose doc-comment states that the conformal Schläfli identity $V(t)=0$ for all $t$ closes the full $N=5$ weighted-deficit stationarity target and bypasses the seven per-displacement-class stationarity targets.

Within Recognition gravity, that bypass is the point of Fork A (Track 1.B 1B-SCH at $N=5$): one global stationarity endpoint instead of a residual displacement-class tree. The count does not itself prove Schläfli or stationarity; it only freezes the audit arithmetic the integration module uses when reporting which leaves are claimed closed versus still open.