track1TotalSymmetryStationarityHandoffProjectionCount_eq_two
plain-language theorem explainer
The Session 574 audit count of direct total-plus-symmetry stationarity handoff accessors equals two: one certificate-field projection and one integrated one-statement projection. Track 7 gravity integrators cite it as a fixed receipt that the handoff surface exposes exactly those two projections. The proof is pure reflexivity on a definitional natural-number constant.
Claim. The Session 574 audit count of direct total-plus-symmetry stationarity handoff accessors 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 (Fork A: Track 1.B stationarity reduction at $N=5$; Fork B: physical residual and Bianchi interface; and further forks for many-body lift, Page capacity, dark-energy $w(z)$, and falsifier sensitivity). It records what the new endpoints prove without upgrading the discovery claim; remaining Track 1 displacement-class leaves stay as the next dependency.
The counted object is the natural-number constant that tallies direct total-plus-symmetry stationarity handoff accessors. By its doc-comment it is fixed at two: one certificate field projection and one integrated one-statement projection. The equality theorem is the audit lock that this count is definitionally $2$.
proof idea
One-line term proof by rfl. The underlying definition is the literal natural 2, so the equality is definitional and needs no lemmas, rewriting, or case analysis.
why it matters
Inside Recognition Science gravity, Track 7 is bookkeeping for fork handoffs rather than a new dynamical law. This equality freezes the Session 574 surface count for the total-plus-symmetry stationarity handoff so downstream integration receipts cannot silently grow or shrink the projection set.
No downstream theorems currently depend on it (used_by is empty); it is a local audit lock beside sibling endpoint-holds receipts (Schläfli reduction, disp0/disp stationarity, seven-stationarity, many-body). It does not touch T5–T8 forcing, the RCL, or the mass ladder; it only certifies that the handoff API exposes exactly the two named projections the integration narrative claims.
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