Manuscript XI-E@1 · XI-E.tex · section · 46e55514

Conclusion

Decision table, exclusions, and handoff › Conclusion · lines 1707–1727

At fixed width, the three proved answers are:

B_{f}, T are admitted in a named on-shell polynomial Hadamard extension; L_{ε} R c = c /2 for compact above-ramp ghosts, the affine complete-word remainder is ε /2; the held-fixed split defect cancels, the cubic Einstein variation is explicit and need not vanish .

These statements preserve XI-B's coefficient $- 1$ and separate admission, localization, and nonlinear response. They are not one closure theorem.

Displayed formulas in this passage

unlabeled · line 1710
$B_{f}, T are admitted in a named on-shell polynomial Hadamard extension; L_{ε} R c = c /2 for compact above-ramp ghosts, the affine complete-word remainder is ε /2; the held-fixed split defect cancels, the cubic Einstein variation is explicit and need not vanish .$