Background, non-extraction, and mathematical dependence

The Enter companion host is prescribed, not derived in this paper. I-B distinguishes a finite residual density matrix from a covariant tensor-valued distribution: the field, observable, state, renormalization prescription, and distributional interpretation must be supplied separately CheungIB. We supply those ingredients for a free test field. None is extracted from an Enter readout.

The destructive-readout interpretation of Enter CheungEnter,CheungPhil,CheungEn09 and the reporting discipline of XVI-O1-ST CheungO1ST constrain interpretation but do not construct the continuum covariance. The finite instrument and its limitation are reproduced in Section sec:finite.

of I-B-G. The supplied Friedrichs foundation identifies -B-G-v2.tex, with source labels :host, :product, :positivity, :green, :speed, :closed, :structure, :window, :transfer, and :transfer-contract CheungIBG. The AB and SAE records also refer to an earlier title and theorem numbering. This paper uses source labels when discussing the companion and reproduces the operator, kernel, boundary, and positivity calculations needed for its principal results. Finite propagation and supported transfer are used only in their separately stated scope.

comparisons are not imported constructions. X-A-ST, X-B-ST, and X-C-ST concern supported scalar completion operations CheungXAST,CheungXBST,CheungXCST. XI-E separates a named Hadamard product domain from selection of a positive state CheungXIE. Oai282-A separates finite tests from continuum coverage CheungOai282A. These comparisons do not import a gauge domain, interacting product, contact classification, or dynamics law.

of “Open”. An item marked Open is not resolved by this manuscript. This is not a claim that it is unknown in the literature.