Declarations

. The author field is left blank for submission preparation. Citations attribute source records to N. Cheung; they do not by themselves assign authorship of this draft.

. The bibliography distinguishes internal manuscript identifiers from published external literature. The supplied passages determine the internal normalization and version comparisons used here. Unavailable complete source texts are not represented as independently inspected proofs. In particular, the reciprocity witness remains an explicitly identified conditional input rather than an invented numerical result.

status. The conditional quantum-presentation theorem is not a construction of its additional inputs. No interacting quantum differential is claimed on the unrestricted X-G-ST causal algebra.

scope. All new differential calculations are classical local or multilocal calculations and compactly tested free equation comparisons. No singular interacting quantum graph is defined or extended.

. No successful run, numerical computation, symbolic execution, proof-assistant verification, repository registration, physical calibration, independent execution, independent review, or journal acceptance is asserted. The mathematical claims are the explicit definitions and written proofs in this file.