track1ForallDispStationarityEndpointProjectionCount
plain-language theorem explainer
Audit constant fixing the projection count of the Track 1 uniform-displacement stationarity handoff endpoint at one. Gravity Track 7 integrators cite it when tallying closed stationarity leaves after the seven-displacement reduction. The body is the literal natural number 1.
Claim. The audit projection count for the Track 1 uniform (forall-displacement) stationarity handoff endpoint equals $1$.
background
The ambient module is the Gravity Track 7 fork-handoff integration lane. It records receipts for parallel forks (1.B Schläfli stationarity at $N=5$, physical residual/Bianchi, many-body amplitude lift, Page-capacity transfer, dark-energy $w(z)$ band, and Track 6 falsifier packaging) without upgrading the discovery claim. Remaining Track 1 displacement-class leaves stay as open dependencies.
Sibling endpoints in the same file package Schläfli reduction, disp-0 base-vertex and stationary reductions, full displacement-stationary reduction, and the seven-stationarity endpoint. The present constant is the Session 563 audit count attached specifically to the direct uniform-stationarity handoff: how many projection leaves that endpoint contributes when the ledger is closed.
proof idea
Pure definitional assignment: the natural-number constant is set equal to $1$. No lemmas, tactics, or computation. The companion equality theorem discharges by rfl.
why it matters
Feeds track1ForallDispStationarityEndpointProjectionCount_eq_one, whose doc-comment states that Session 568 Track 7 closes the uniform seven-displacement stationarity target once total stationarity and displacement symmetry are in hand. In the handoff ledger this count of one marks that the forall-disp stationarity projection is fully accounted, so integrators can treat that leaf as closed while other displacement-class leaves remain. It is bookkeeping for the Master Theorem gravity stack, not a dynamical derivation of stationarity itself.
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