Both internal placements of K 5

The inverse, slots, and roots retain their normalization:

The full observable contains the scalar-sourced slot once XIIE.

The actual source is

in component notation, with the fixed unintegrated cubic representative of XII-C. No source coefficient is deleted XIIC.

-A is only an exit prerequisite

XV-A states a free-carrier release $({{\mathcal{E}}_{\mathcal{H}}}^{\mathrm{BV}},{\hat{s}}_0)$ and a generator-preserving embedding obstruction for the relative classical complex XVA. Neither is used to prove an amplitude estimate or define a cross-line product here. Their stated free-carrier conclusion is recorded only when discussing the exit to XV-B.

XIV-A and XIV-B are not analytic inputs. The value $-8I$ is not a normalization. XIII-E and a resolved paired construction remain unentered.

1: the frozen route and the amplitude class

Use

All inherited functions and the width $\epsilon >0$ remain fixed. The pair is

and

The target remains

The difference stays grouped. No mixed $H$–$G_{\mathrm{act}}$ product is declared.

The selected class consists of internal representations on the relations already named in XIV-H, with both $K_5$ placements and $z$ retained. It permits:

1. partial Fourier transforms of the already defined internal kernels;

2. explicitly defined distribution-valued normal amplitudes, with a proved reconstruction map, uniform estimates, and a stated remainder;

3. regular conormal charts and named pullbacks or operator maps whose hypotheses are checked.

It does not require the union of the internal diagonal and flow-out pieces to be one ordinary Lagrangian.