Scope, fixed target, and the meaning of completion

orders. All formulas are taken modulo $s^3$ and ${\hslash }^2$. The parameter $s$ grades the kinematic Taylor jet; it is not silently identified with a gravitational coupling. First order in $\hslash$ means one free contraction here, not a complete interacting one-loop contribution inventory.

jets. The second-jet fields $k,\psi$ are retained as independent smooth prescribed jets. They are central parameters in the free Wick construction. If they are instead defined as interacting operator-valued responses, their own construction and cross-contractions must be added. No such identification is made.

references. The compact Wick-kernel framework and local subtraction templates are those of Brunetti–Fredenhagen and Hollands–Wald BF,HWlocal,HWexistence. The noncompact Newton estimates and native coefficient calculations are proved below. Those references do not automatically admit a nonlocal lapse.