Manuscript X-I-ST@1 · X-I-ST.tex · section · 9745fd40

The convolution gap remains independent

Section C: diagnostics preserved in their exact scopes › The convolution gap remains independent · lines 1631–1650

Retain the fixed convolution data of X-A-conv and X-A-conv-ST XConv,XConvST. Their witness coefficient has the form

c_{ε} = \frac{1}{2 N} \int ϱ_{ε} (z) \int (ψ (x) - ψ (x - z))^{2} d^{4} x d^{4} z > 0.

The new interaction changes none of $ϱ_{ε}, ψ, N$ , the convolution operator, its coordinate Cauchy problem, or its frozen gauge algebra.

Thus this number is unchanged, and its first-order obstruction is not repaired. No statement about a different interacting convolution observable is inferred.

Displayed formulas in this passage

unlabeled · line 1636
$c_{ε} = \frac{1}{2 N} \int ϱ_{ε} (z) \int (ψ (x) - ψ (x - z))^{2} d^{4} x d^{4} z > 0.$