Track1PhysicalD2MasterWitnessEndpoint
plain-language theorem explainer
Packages the Agent B claim that any concrete six-tet product-filter datum yields a nonempty physical Regge/Einstein-Hilbert D2 master-witness certificate. Track 7 handoff integration and the unconditional master-theorem audit route cite it as the physical-D2 endpoint. The definition is pure Prop packaging; a companion theorem discharges it by inhabitation of the physical residual certificate.
Claim. For every filter-indexed canonical periodic six-tet volume-quadrature product-filter datum $D$, and every vertex type $V$ and finite bond type $B$, the type of physical Regge/Einstein-Hilbert $D_2$ master-witness certificates for $(D,V,B)$ is nonempty.
background
Track 7 is the fork-handoff integration lane for Gravity. It records what parallel endpoints prove without upgrading the discovery claim. Fork B covers the Track 1.B-PHY / 1.C physical residual and Bianchi interface; this definition is the Agent B receipt for that fork.
The older master-theorem path fed D2 from a flat-substrate structural identity. Here the input is CanonicalPeriodicTetSixTetVolumeQuadratureProductFilterData: concrete product-filter refinement data on a six-tetrahedron cubic Dirichlet slice. The certificate type PhysicalReggeEHD2MasterWitnessCert asserts that the master theorem's D2 slot can be filled by a physical Regge/Einstein-Hilbert continuum Tendsto target built from those data.
Spatial dimension $D=3$ is the T8/T9 landmark in the background constants; the local claim does not re-derive it, but the gravity stack sits on that forced dimension.
proof idea
Definitional Prop, not a proved theorem. The body is a single universal quantifier: for arbitrary index types, filter, product-filter datum $D$, and types $V,B$ with $B$ finite, assert Nonempty (PhysicalReggeEHD2MasterWitnessCert D V B).
Discharge lives in the companion track1_physical_d2_master_witness_endpoint_holds, a one-line wrapper that applies physicalReggeEHD2MasterWitnessCert_inhabited to the supplied data. No algebraic reduction occurs at this declaration.
why it matters
Closes the physical-D2 handoff that lets Track 7 consume Fork B's residual/Bianchi interface with a continuum Regge/EH target rather than a structural placeholder. Downstream, fork_A_B_C_D_E_F_handoffs_integrated_one_statement and ForkHandoffIntegrationCert bundle this endpoint with the many-body, Schläfli-reduction, Page-capacity, $w(z)$, and falsifier-sensitivity receipts. endpointRouteRegEHContinuumProp in the unconditional master module packages it with the single-slice and varying-cardinality product-filter endpoints as an audit route for the Regge/EH continuum path.
It does not finish the discovery theorem: remaining Track 1 displacement-class leaves stay open, and the structural master certificate is still required where the plan demands structural witnesses.
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