What is new within this continuation

The positive content is not merely a new label for an assumed reference. The second coefficient has an explicit action-derived formula, independent scalar data, a nonzero compact charge, and a finite report experiment with an exact distinguishability margin.

Equally important, the rank-two charge calculation shows exactly why the local positive construction does not become whole-algebra closure. The distinction survives the complete-instrument audit; it cannot be hidden by selecting a favorable outcome.

The prospective usefulness is as a calibration and comparison module: later work can test a concrete second coefficient, a finite preparation, and a complete record interface without claiming that those operations have acquired continuum data or defined a quantum product. No general priority claim is made for polarization, hyperbolic-tangent encodings, instruments, or the classical BV method.