Manuscript X-J-ST@1 · X-J-ST.tex · section · 8f0d1a36

Reciprocity remains a classical diagnostic

Preserved diagnostics and explicit separations › Reciprocity remains a classical diagnostic · lines 2050–2070

The frozen X-G/X-G-ST source-switched metric operator retains its separate witness

D_{recip} = \frac{5 M _{χ}}{8} \int_{0}^{ε} ζ (t) (σ_{ε}^{''} (t))^{2} d t > 0

under its original support and free-input hypotheses XG,XGST,XIST.

Neither coefficient extraction nor a finite report changes that operator. The number is not $J_{2}$ , not a master residual, and not a loop anomaly. Its exact source-preserving variational exclusion is not a universal no-go for every changed classical prescription.

Displayed formulas in this passage

unlabeled · line 2054
$D_{recip} = \frac{5 M _{χ}}{8} \int_{0}^{ε} ζ (t) (σ_{ε}^{''} (t))^{2} d t > 0$