Routes and the field-only projection

The theorem covers one constructed instance. It does not obstruct every admissible kernel, and it does not obstruct a fixed $m>0$ without further work. It does rule out a universal completion prescription that would have to cover this instance. N-Ins.4 therefore remains unresolved as a universal statement. The obstruction is not an ultraviolet subtraction, not a loop identity, and not a graph closure. It does not open XV-B. It is not the physical characteristic limit through the aligned-null locus, and it is not H2, I3, or J2.