Track1ContinuumNormalizationFromResidualEndpoint
plain-language theorem explainer
Agent B endpoint: whenever a global residual envelope is given for the canonical periodic six-tet volume-quadrature path, the finite-product residual estimate normalizes to the raw product-filter continuum Tendsto claim. Gravity Track 7 fork-handoff integration cites it as the continuum-normalization leaf of Fork B. It is a pure Prop alias of the residual-target predicate, not a new argument.
Claim. For every types $\alpha,\rho$, every filter $\ell$ on $\alpha$, every cross-cardinality data package $D$ for the canonical periodic six-tet volume quadrature along $\ell$, and every global residual envelope $E$ on $D$, the physical Regge–Einstein–Hilbert continuum-normalization target holds at $E$: the finite-product residual estimate implies the raw cross-cardinality continuum $\mathrm{Tendsto}$ statement.
background
Module Gravity.MasterTheoremHandoffIntegration is the Track 7 integration-lane receipt for parallel fork handoffs A–F. It records what the new endpoints prove without upgrading the discovery claim; remaining Track 1 displacement-class leaves stay open.
The six-tet product-filter path packages geometry in two layers. Cross-cardinality data $D$ stages the quadrature limit across filter bases. The global residual envelope $E$ on $D$ supplies an envelope function, its Tendsto-to-zero along the filter, and a slice-uniform absolute residual bound—the first concrete global residual estimate still needed on that path.
Upstream, PhysicalReggeEHContinuumNormalizationFromResidualTarget is the Session 588 continuum-normalization target: the raw cross-cardinality Tendsto statement obtained after the finite product residual estimate is combined with the staged quadrature limit. This endpoint simply asserts that target for every such envelope $E$.
proof idea
Definitional Prop, not a proved theorem. The body is a universal quantifier over filter bases, cross-cardinality data $D$, and global residual envelopes $E$, whose matrix is exactly PhysicalReggeEHContinuumNormalizationFromResidualTarget $E$. No tactics or lemmas fire here; the companion theorem track1_continuum_normalization_from_residual_endpoint_holds discharges the Prop by applying physicalReggeEHContinuumNormalizationFromResidualTarget_holds to each $E$.
why it matters
Fork B handoff leaf inside Track 7. It is consumed by track1_continuum_normalization_from_residual_endpoint_holds, by ForkHandoffIntegrationCert, and by the one-statement fork_A_B_C_D_E_F_handoffs_integrated_one_statement, which packages Fork B's physical residual/Bianchi interface alongside Fork A's Schläfli-to-stationarity reduction, Fork C's many-body lift, and Forks D–F.
In the Recognition gravity stack this is the continuum-normalization bridge from finite-product residual control on the six-tet cubic Dirichlet instance to the raw product-filter Tendsto form of the Regge–EH continuum limit. It does not close the open Schläfli or displacement-class leaves; the module doc keeps those as the next dependency. Framework-wise it sits downstream of the $D=3$ spatial forcing (T8) only insofar as the six-tet geometry assumes three-space; it is not itself a forcing-chain step.
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