Declarations

scope. The new proofs concern the preparation comparison, explicit convolution defect, density-ramp kernel admission, transmission law, boundary charge topology, auxiliary equivalence, and the stated algebraic interfaces. The quantitative sharp Wick incompatibility uses the explicit numerical VII-C/D input.

data. The original zero-Cauchy prescription, the restricted plateau gauge domain, and the old free product are not silently redefined. Each repair states the equality requirement or preparation datum that it changes.

scope. A free finite-width polynomial sector is constructed. No interacting quantum differential, quantum gravitational Ward identity, quantum retarded coefficient of the inherited characteristic graph, or ultraviolet completion is claimed.

scope. The positive diagnostic is a scalar vacuum marginal on a fixed smooth classical metric. The Gaussian coefficient functional for the full gauge-fixed matrix is not asserted to be positive.

scope. The full supplied VII-A–D sources are cited with their actual scopes. Later manuscripts available only as supplied excerpts are comparison records, not unstated premises. No unpublished numbered assertion is fabricated.

. No successful pdflatex execution, proof-assistant check, symbolic execution, numerical execution, independent referee review, or journal acceptance is asserted.