Declarations

and attribution. The author name follows the supplied predecessor metadata. Cheung's X-G supplies the normalized free multiplet and the reciprocity obstruction. X-F supplies the separate direct tree identity. The classical BV mechanism is also placed in its standard mathematical context. No priority claim is made for those parent constructions.

scope. The positive classical result is relative and off shell. It is not an interacting derivation of the unchanged free causal algebra. No acyclicity, physical cohomology, positivity, interacting quantum BRST, or Kugo–Ojima theorem is claimed.

scope. The constructed instruments read finite supplied evaluations or status words. They do not acquire unknown continuum fields or provide a physical representation of ghost-valued residuals. All unmeasured finite output and reference factors are retained in the complete channel.

status. Supplied manuscripts and retrieved documentary records are citations, not independent proof certificates. No registration or publication status is inferred for the ST source from its identifier.

. No successful execution, proof-assistant verification, symbolic-program execution, numerical evaluation, hardware realization, repository installation, independent execution, referee approval, experiment, or journal acceptance is asserted. The mathematical release is the explicit definitions and written proofs above.