track1TotalSymmetryStationarityHandoffProjectionCount
plain-language theorem explainer
Session 574 audit count fixing how many direct total-plus-symmetry stationarity handoff accessors exist: exactly two (one certificate-field projection, one integrated one-statement projection). Gravity Track 7 integration receipts and the companion equality theorem cite it. The body is the literal natural number 2.
Claim. The Session 574 audit count of direct total-plus-symmetry stationarity handoff projections equals $2$: one certificate-field projection and one integrated one-statement projection.
background
This module is the Gravity Track 7 integration-lane receipt for parallel fork handoffs (Forks A–F): Track 1.B stationarity reduction at $N=5$, physical residual and Bianchi interface, many-body amplitude-linear lift, Page-capacity transfer, dark-energy $w(z)$ falsifier-band refinement, and Track 6 falsifier-sensitivity packaging. It records what the new endpoints prove without upgrading the discovery claim; remaining Track 1 displacement-class leaves stay as the next dependency.
The named quantity is an audit counter, not a dynamical invariant. It tallies the direct total-plus-symmetry stationarity handoff accessors exposed in this integration layer: a certificate field projection and an integrated one-statement projection. Sibling endpoints in the same file cover Schläfli reduction, dispersion-class stationarity reductions, seven-stationarity, and many-body lifts.
proof idea
Definitional constant: the natural number is set to the literal value $2$. No lemmas, tactics, or algebraic reduction. The companion theorem track1TotalSymmetryStationarityHandoffProjectionCount_eq_two reconfirms the equality by rfl.
why it matters
Gives a stable, citable count for Session 574’s total-plus-symmetry stationarity handoff surface so integration receipts can assert “exactly two projections” without hard-coding magic numbers at use sites. The sole downstream consumer is the equality theorem that locks the count at $2$ by reflexivity, under a backward-compatible name for the first integration receipt.
Inside Track 7 this is bookkeeping for the Fork A / Track 1.B stationarity handoff lane, not a step of the forcing chain (T0–T8) and not a mass or coupling derivation. It keeps the handoff inventory auditable while displacement-class leaves remain open.
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