Manuscript VII-I@1 · VII-I.tex · scope · 907e96ab

Release and proof boundary

Front matter · lines 181–201

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and proof boundary{ Constructed: two explicit smoothing comparisons; a finite-width microcausal insertion and free polynomial algebra; a minimal boundary-sensitive classical carrier; classical auxiliary equivalence; and a linear free-shell quantum repair.

Proved incompatible: the unchanged off-shell sharp insertion with the microcausal polynomial domain; the convolution comparison with the unchanged classical gauge action; and the specified continuous sharp Wick-extension requirements.

Unresolved: an associative renormalized sharp nonlinear sector outside those requirements, mixed time-ordered products, an interacting quantum gauge differential, and a physical correlation of the original sharp relational observable.

All positive constructions are labelled by the observable and domain they actually use.}

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