Track1ConformalSchlaefliNearZeroClosedFormEndpoint
plain-language theorem explainer
Names the Track-1 near-zero closed-form Schläfli-zero endpoint as a Prop: algebraic local Schläfli cancellation at the deformed squared-edge tuple for the canonical periodic conformal instance at N=5. Track-7 fork-handoff integration and the companion holds theorem cite it as a named receipt. Pure definitional alias of the upstream N=5 target Prop.
Claim. The Track-1 near-zero closed-form Schläfli endpoint is the proposition that the canonical periodic local conformal Schläfli closed-form zero target holds at parameters $N=(5,5,5)$: algebraic local Schläfli cancellation is established on the deformed squared-edge tuple in that six-tetrahedron cubic Dirichlet setting.
background
This module is the Track-7 integration-lane receipt for parallel fork handoffs (A through F). It records what the new endpoints prove without upgrading the discovery claim, and keeps remaining Track-1 displacement-class leaves as open dependencies.
The named endpoint packages a local discrete-geometry identity: Schläfli cancellation on edge lengths (squared-edge data) for a conformal deformation of a periodic six-tetrahedron cubic Dirichlet instance. Upstream, CanonicalPeriodicLocalConformalSchlaefliClosedFormZeroNearZeroTargetAtN5 is the specialization of that target Prop at $N=5$ on each axis (with decidable side conditions). Ledger-closure predicates on plaquettes and glued dominoes (even-parity XOR of vertex bits) sit in the holographic substrate that makes local face balance well-defined.
In the Recognition gravity stack this is a Track-1.B-style local algebraic leaf, not yet the full stationarity or residual package.
proof idea
Definitional one-liner: the Prop is definitionally equal to the upstream abbrev CanonicalPeriodicLocalConformalSchlaefliClosedFormZeroNearZeroTargetAtN5, itself the $N=(5,5,5)$ specialization of the canonical periodic local conformal Schläfli closed-form zero-near-zero target. No tactics; no new proof content at this declaration.
why it matters
Gives Track 7 a stable named handle for the near-zero closed-form Schläfli leaf so fork integration can conjoin it with other handoffs. Downstream, track1_conformal_schlaefli_near_zero_closed_form_endpoint_holds discharges it by the corresponding N=5 theorem; ForkHandoffIntegrationCert and fork_A_B_C_D_E_F_handoffs_integrated_one_statement consume the Track-1 Schläfli reduction package as part of the A/B/C/D/E/F one-statement (explicitly not the unconditional discovery theorem).
In the master plan this is a Fork-A adjacent receipt: local algebraic Schläfli cancellation at the deformed squared-edge tuple, feeding the Schläfli-to-stationarity reduction path at N=5. It does not close open displacement-class leaves; those remain the next dependency after this handoff layer.
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