Declarations

. The author field is intentionally empty. Citation of N. Cheung does not assign authorship of this adaptation. Authorized authorship and submission metadata must be supplied for a signed submission.

inputs. The adapted carrier, old covariance/product convention, and parent ultraviolet finite-part theorem are explicit inputs. Their complete proofs are not independently certified here. The manuscript supplies its own supported presentation arguments and the stated staged deductions.

. The result is one source-locked, truncated free partial product on one named tensor domain. It is not an intrinsic global conical field theory, a general renormalized product, or an interacting quantum coefficient.

status. Finite table matrices represent supplied evaluations and certified enclosures. They are not acquired field data. The declared carriage and local-operation permissions are finite-model assumptions, not a microscopic field implementation.

status. The file is written for conventional pdfLaTeX and contains its bibliography internally. No successful compilation, machine check, numerical execution, independent execution, hardware synthesis, experimental implementation, independent referee verification, or journal acceptance is asserted.