Retained non-identifications

The inherited product ${\star }_c$ is not ${\mathsf{T}}_2$ and is not $R_1(V_1;B_f)$. The triangle scalar $U_c$ is not a causal subtraction. V's $R_{1,1}$, the oscillator coefficient, and the Newton–wave cubic remain different objects. VI's relational coefficient and VII-A's plateau intertwiner are not the map sought here. VII-E/F and VIII certificates have no supplied map into ${\mathcal{P}}_{\mathrm{adm}}$.

A cutoff or numerical modification of $U_c$ supplies none of the missing order-$\hslash$ and order-${\hslash }^2$ binary coefficients. The parent finite-part conversion also supplies no binary overlap classification.