Track1ConformalSchlaefliNearZeroExpansionEndpoint
plain-language theorem explainer
Near-zero expansion endpoint for the conformal Schläfli route on the canonical N=5 periodic Freudenthal torus: the global derivative/reindexing half of the localized Schläfli analysis. Track 7 gravity handoff integration cites it as a Fork A leaf. The declaration is a pure Prop alias of the N=5 specialization of the canonical periodic conformal near-zero expansion target.
Claim. The proposition that the near-zero expansion endpoint of the conformal Schläfli analysis holds on the canonical periodic Freudenthal torus with period parameters $N=5,5,5$ (the global derivative/reindexing half of the localized Schläfli route).
background
This module is the Track 7 integration-lane receipt for parallel fork handoffs in the gravity master theorem. Fork A covers Track 1.B Schläfli-to-stationarity reduction at $N=5$; the remaining forks package many-body amplitude lifts, physical residual/Bianchi interfaces, Page-capacity transfer, dark-energy $w(z)$ bands, and falsifier sensitivity. The module records endpoints without upgrading the discovery claim.
The upstream target specializes the canonical periodic conformal Schläfli near-zero expansion proposition to periods $5,5,5$ (all positivity side-conditions discharged by decide). In RS gravity, the Schläfli route links discrete edge/angle variations on the Freudenthal torus to continuum stationarity; the near-zero expansion isolates the global derivative and reindexing half of that localized analysis.
proof idea
Definitional one-liner: the Prop is definitionally equal to the upstream abbrev CanonicalPeriodicConformalSchlaefliNearZeroExpansionTargetAtN5, itself the $N=5,5,5$ specialization of the canonical periodic conformal near-zero expansion target. No extra proof work lives here; the mathematical content is entirely in that upstream target.
why it matters
Track 7 consumes this as one of the Fork A Schläfli-route leaves. It appears in ForkHandoffIntegrationCert and in the single conjunction fork_A_B_C_D_E_F_handoffs_integrated_one_statement, which packages many-body channel lift, seven-leaf Schläfli-to-stationarity reduction, physical residual/Bianchi interface, tick-capacity Page layer, $w(z)$ falsifier bands, and falsifier-sensitivity packaging. Downstream docs stress that this is a reduction/interface package, not closure of the open Schläfli leaves, and deliberately does not assert the fully unconditional discovery theorem. The companion ..._holds theorem discharges the alias by the upstream N=5 witness.
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