Manuscript X-D-ST@1 · X-D-ST.tex · section · e0cf8fdb

Why the hypotheses do not match

VII-C audit and the remaining analytical boundary › Why the hypotheses do not match · lines 2051–2097

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ItemVII-C requiresX-D-ST actually uses
(E1)The specified scalar–metric multiplet and Wick matrixThe inherited scalar algebra; are classical
(E2)The exact unchanged sharp mixed functionalFixed-background smooth scalar tests built from normal-flux transmission coordinates
(E3)Its mollified mixed kernels in its normal topologyRamp coefficient tests in one
(E4)The mandatory triple product and continuous fully contracted extractionNo such word, quantum metric block, or coefficient extension is formed

Thus VII-C does not apply and is not contradicted. Its logarithm is neither subtracted nor reinterpreted as an error in (eq:rate). A signature dictionary does not identify different field contents, prescriptions, kernels, or topologies.

VII-I's finite-width free algebra and its transmission law are likewise a different construction VIIIndexI. The present velocity formulas cannot be assigned to that object without an explicit prescription comparison.

The X-B-ST diagonal-product boundary also stands: the ordinary wavefront criterion does not define the Feynman-kernel square on the diagonal XBST,Hormander. No limit of the present degree-one tests constructs that omitted product or a family.