Scope, evidence, and necessary corrections

Stress-tensor improvement and the distinction between scale and conformal symmetry are established mathematical questions in quantum field theory. The improved tensor of Callan–Coleman–Jackiw and Polchinski's analysis are central background references CCJ,Polchinski. Four-dimensional arguments based on dilatons, renormalization-group flows, and additional assumptions form a separate literature KomargodskiSchwimmer,LPR,DKST,DFKLP.

The supplied Family 282-01 record claims a local enhancement theorem in a specified bounded-local-net and physical-field framework OpenAI282. This companion does not verify that claim. Its main results concern independently supplied distributions, finite tests, and explicit comparison interfaces.

Cheung's supplied manuscripts distinguish an algebraic identity, a representation on a domain, a measurement construction, and a complete reference-preserving channel CheungII,CheungIII,CheungVI,CheungEn05C, CheungEn07A,CheungOai290A. We retain those distinctions. Their model-specific conclusions are not imported as unchecked premises.