Track1ConformalSchlaefliNearZeroLocalEndpoint
plain-language theorem explainer
Names the near-zero local conformal Schläfli endpoint as the canonical periodic target specialized at mesh size N=5. Gravity Track 7 handoff integration and the Fork A/B/C/D/E/F one-statement cite this Prop as the local tetrahedral closure receipt. The body is a one-line alias of the upstream N=5 specialization; no new proof work lives here.
Claim. The proposition that the canonical periodic local conformal Schläfli near-zero identity holds at mesh parameters $N=5,5,5$ (all side conditions discharged by decision).
background
Track 7 is the Gravity fork-handoff integration lane. It records what parallel forks prove without upgrading the discovery claim: Fork A is the Track 1.B Schläfli-to-stationarity reduction at $N=5$; remaining displacement-class leaves stay open.
The Schläfli identity relates edge-length variations to dihedral-angle variations on a tetrahedral complex. Here the local near-zero conformal form is the discrete curvature identity in a small-defect expansion on a periodic cubic six-tet stencil. The upstream abbrev CanonicalPeriodicLocalConformalSchlaefliNearZeroTargetAtN5 is exactly that target at $N=5$ with decidable side conditions.
Doc-comment: both local tetrahedral inputs are closed, so the local near-zero Schläfli identity is theorem-grade. This def only packages that Prop for the handoff layer.
proof idea
Definitional alias, not a tactic proof. The body is the single identifier for the upstream abbrev that specializes the canonical periodic local conformal Schläfli near-zero target to parameters $5,5,5$ with three decide proofs. Downstream, track1_conformal_schlaefli_near_zero_local_endpoint_holds is the one-line theorem that inhabits this Prop by applying that same upstream fact.
why it matters
Gives Track 7 a named local endpoint for the near-zero conformal Schläfli identity so the integration certificate can list it beside the other Fork A reduction leaves (global Schläfli reduction, disp0 base-vertex and stationary reductions, seven-stationarity). Downstream fork_A_B_C_D_E_F_handoffs_integrated_one_statement consumes the Track 1 Schläfli package as part of a conjunction that deliberately does not assert the fully unconditional discovery theorem. ForkHandoffIntegrationCert likewise treats Track 1 as a reduction/interface package, not closure of every open Schläfli leaf. In the RS gravity stack this is bookkeeping for the discrete curvature handoff toward the master structural certificate, not a new continuum GR derivation.
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