Manuscript X-C@3 · X-C-v3.tex · section · 2260f5f8

Declarations

Declarations · lines 1649–1687

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on supplied manuscripts. The ramp convention sheet, coordinate laws, complete metric pullback, density coefficients, scalar responses, coordinate intertwiner, unswitched naturality, and plateau covariance are premises from X-A.tex. Admission, the free algebra, bare tests, first scalar map, off-shell warning, mixed transformation, and old truncation are premises from X-B-v3.tex. Neither ramp covariance nor the joint cone proof is repeated.

and normalization. The new maps are coefficients of the explicitly defined test-level retarded Møller map. The second vertex and signs are fixed before the Ward calculation. No contact, subtraction, or diagonal extension is selected to enforce covariance. No uniqueness among arbitrary unconstructed retarded-product hierarchies is asserted.

incorporated. Formal support statements are coefficientwise. Differentiated switch factors are retained. The first-order gap is propagated at second order. Intermediate tests are actual representatives. Diagonal iteration is quadratic rather than additive. The reversed-sign pure-gauge shorthand is replaced by its full operator expression and an explicit nonzero diagnostic.

status. No successful pdflatex execution, proof-assistant check, numerical verification, or independent referee review is claimed. The source uses no external figures, bibliography database, or executable code.

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