Manuscript XI-C@1 · XI-C.tex · abstract · acec1422

Abstract

Front matter · lines 144–171

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We construct the one-graviton retarded tree determined by the signed gauge-fixed inverse of Landmark XI-B and the switched stress-tensor vertex of Landmark XI-A. At fixed regulator width, the bilinear coordinate insertion and the cubic scalar output have compact distributional kernels satisfying the polynomial microcausal exclusion. The contraction is defined directly on smooth off-shell configurations, without a Hadamard covariance.

For a smooth free scalar and a switch above the ramp, the coordinate response is minus one half of a double retarded wave inverse applied to the divergence of the switched stress. It vanishes exactly when that source is conserved. The named XI-A input gives a nonzero response and does not repair its empty Einstein jet.

An essential domain qualification prevents an unconditional quantum release. XI-B constructed finite products of compactly smeared linear fields, not an extension admitting the singular polynomial kernels used here. We prove the distinction and do not substitute a wavefront estimate for an admission map. A restricted classical second-order candidate has an explicit, generically nonzero background defect; its sign and domain are specified. No quantum second-order coefficient, interacting BRST class, mixed loop, Hadamard selection, or sharp limit is constructed. The classical symbol tree is complete; its output in the unchanged quantum algebra remains unresolved.

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