Declarations

level. The quantum construction is a formal polynomial Hadamard algebra with compact distributional kernels and an on-shell quotient. It is not a construction of every smooth microcausal functional or an interacting quantum theory.

convention. The old causal algebra is embedded exactly on its generators and products. Its Weyl symbols are related to the chosen normal symbols by the explicitly stated ordering map. No singular extension of that regular ordering map is assumed.

identity level. The localized ghost calculation and metric co-transformation are coefficient identities on their stated off-shell parameter classes. The cubic source variation is a classical sourced response calculation.

. No successful pdflatex execution, proof-assistant verification, executed symbolic computation, independent referee review, or journal acceptance is asserted.