Manuscript XIX-E@1 · XIX-E.tex · section · 702f146e

A fixed density ramp can fail the harmonic response test

Prescribed profiles, convolution, and clocks › A fixed density ramp can fail the harmonic response test · lines 497–511

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The transition witness does not contradict X-A's reported plateau-supported classical intertwiner through second order CheungXA. It also does not reproduce the distinct convolution obstruction of X-A-conv.

A correction beginning at second perturbative order cannot change the first coefficient in (eq:ramp-defect). Likewise, in , a nonzero cannot be cancelled by an element of , because the constant coefficient remains . Neither statement is a quantum Ward calculation.

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