The quadratic normalization

Unswitched Einstein–Hilbert density & Retained with coefficient $-2/{\kappa }^2$.

Minimal metric Euler derivative & Contains $g$, not $\partial g$.

Scalar equation and source divergence & Switch-derivative terms retained.

TT and Newtonian sign diagnostics & Retained; no vacuum-energy conclusion.

Invariant Noether identity & Retained with the full adjoint operator.

Unbroken gauge-fixed Noether identity & False; its breaking term remains explicit.

Fierz–Pauli-only nonlinear replacement & Insufficient; higher classical Einstein coefficients remain.

Invariant metric Euler covariance & Retained as rank-two, weight-one density covariance on ${\mathcal{G}}_P$.

X-A-ST relational intertwiner and edge defect & Cited; not recounted or counted as new theorems.

Completion fiber ${\mathcal{J}}_g({\varphi }_m)$ & Empty; the vacuum remains a counterexample to universal emptiness.

Switching detector on the host & Transferred when its support fits the retained chart and shadow; not a plateau detector.

Gauge-fixed wave equation & A different equation; not an Einstein-jet repair.

Complete Enter instrument & Constructed for supplied finite evaluations and residuals.

Finite report coverage & Requires an independent residual-space coverage theorem.

Field acquisition, metric update, propagator, multiplet, tree, BRST & Not constructed.

six-object handoff

A later XI-B-ST, if constructed, receives:

1. the signed quadratic operator

   $$2G_{\mathrm{lin}}+e_{\mathrm{gf}}=-\square {\mathsf{P}}_{\mathrm{tr}};$$

2. the de Donder term $S_{\mathrm{gf}}=\int D_{\nu }{D}^{\nu }$, with its divergence $-\square D^{\nu }$ and adjoint Noether contribution;

3. the stress vertex $-\frac{1}{2}\int g{\gamma }_{\mu \nu }{T_0}^{\mu \nu }$;

4. the full unswitched Einstein action and the classical coefficient bookkeeping needed through the specified coupling order;

5. the invariant Noether identity with its exact fixed-background switching defect;

6. the empty fixed-input completion Einstein fiber, its compact detector, and its distinction from a gauge-fixed Cauchy problem.

These are tagged with the host/signature ledger and the complete supplied-report catalogue.

They are the same six types of object handed from XI-A to XI-B CheungXIA. No propagator, ghost, antifield, tree, or state is included in this handoff.

reading for this sheet alone