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Manuscript VII-B@1 · VII-B.tex · section · be632835

Question, result, and scope

Question, result, and scope · lines 250–269

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is and is not proved. The following statements are established:

  1. an exact sharp-Cauchy adjoint formula;

  2. an exact domain criterion for linearly smeared coordinate responses;

  3. exclusion of every nontrivially smeared first geometric insertion from the declared off-shell domain;

  4. impossibility of an off-shell, classically normalized quantization in that domain;

  5. a smooth-edge approximation and a linear on-shell repair.

No Ward identity, radiative response, classification of interaction counterterms, or second-order product-existence theorem is asserted. In particular, the result does not exclude a construction in an appropriately enlarged boundary algebra or an interacting on-shell formulation.

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