Fixed host and comparison boundaries

The following are comparison records, not inputs to the response construction.

• IX-C-ST. Its truncated partial product and selected wordwise coherence through ${\hslash }^3$ do not define the ramp Møller coefficients. Wordwise coherence is not a causal lift IXCST.

• IX-D-ST and IX-E variants. A commutator consistency identity, an algebraic extension criterion, a strongly separated vanishing statement, or a conditional null-sphere bridge is not a sharp time-ordered product. The boundary-trace certificate for the weak inherited adjoint is not verified by this scalar construction. The ramp coordinate kernel is not identified with IX-E-2's locked kernel $K$ IXDST,IXERecords.

• VII-A-ST. Its switch ledger illustrates why switch derivatives must be displayed before imposing a plateau. Its harmonic-coordinate intertwiner is not ${\mathcal{R}}_q$, and common observation-plateau agreement does not establish equality of arbitrary past responses VIIAST.

• VI-B. The coefficientwise no-higher-order repair principle is a logical comparison. Its Einstein–scalar switch defect is not ${\Theta }_F$ or ${\Sigma }_F$ VIB.

• VII-H and VII-I. The former's susceptibility contact ambiguity is not reopened here; the latter's finite-width free algebra and changed sharp transmission data are not a theorem about the present Møller maps VIIH,VIII.

• V-B. Its Newton–wave cubic form is neither the second scalar response nor the inherited characteristic gravitational coefficient VB.

• X-A-conv and X-Enter. The convolution prescription and its conditional readout are not inputs. The ramp integral (eq:edge-integral) is not the convolution quantity $c_{\epsilon }$ ConvRecords.

VII-C's original hypotheses are not assumed or repaired VIIC. In particular, a fixed-width scalar-linear chain calculation is not an extension of its sharp mixed-kernel word.

Branch B remains unopened. No gravitational action, gauge-fixed graviton Green operator, quantum metric two-point kernel, or mixed contraction domain is introduced. Neither existence nor a universal obstruction for a future graviton tree or triangle follows from these scalar maps.