No characteristic-product or Einstein-equation transfer

The source boundary is finite dimensional. The equation space here is affine-conical matching, with presentation changes as its gauge freedom. No map identifies it with a $3+1$-dimensional characteristic coefficient, retarded product, renormalized stress tensor, or BV observable.

In particular, ${\mathsf{Ein}}_0$ is not the inherited characteristic coefficient discussed in XIV-J CheungXIVJ. A partial reference distribution or a formal internal representation in another model does not admit a quantum source here. We assert neither a quantum product nor a universal nonexistence theorem for such products.