Manuscript XII-B@1 · XII-B.tex · abstract · 229bc869

Abstract

Front matter · lines 130–155

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This manuscript applies the stated stop rules to the proposed ramped-cubic construction. The supplied XII-A-v2 establishes a graded polynomial carrier, ordering transport, and an exclusion for the original cubic response. It does not provide the required changed-model freeze, its new Noether defect, or a decision about the changed coupled jet. The handoff gate therefore ends Unresolved, and no new cubic retarded response is defined.

A separate consistency audit identifies a mathematical issue in the proposed specification. Multiplication of a cubic source by a ramp is not the same operation as multiplication of its Lagrangian density before variation. We derive the weighted Euler formula and compute the discrepancy explicitly on the pure-trace Einstein–Hilbert sector. It contains a nonzero ramp-derivative term. A mixed-second-variation test further shows that the simply weighted source cannot be the Euler derivative of an action on the unrestricted off-shell class.

These results neither reopen XI-G nor obstruct a correctly specified density-ramped model. They identify the information and convention changes required before the completed-kernel, admission, response, and plateau gates can be evaluated. No state, loop, interacting differential, contact subtraction, or sharp-width limit is introduced.

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