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

Decision and final release

Decision and final release · lines 1546–1602

{}1.12

Gate	Evidence	Status
C1	Copied $V_{2, g}$ , Hessian $- L_{2, g}$ , retained switch derivatives	Frozen
C2	Output $- L_{2, g} E_{m}^{A} c$ ; support and continuity	Constructed
C3	Output $L_{1, g} E_{m}^{A} L_{1, g} E_{m}^{A} c$ ; actual intermediate test	Constructed on linear insertions
Polarization	Diagonal quadratic dependence; mixed bookkeeping retained	No diagonal additivity
Normalization	Transposition to the copied $ρ_{2, g}$	Passed
Quantum order	Yang–Feldman test recursion and rooted five-leg count	Tree-exact on the named domain
C4	Three-term variation; explicit compact equation-ideal term	Ward through $κ^{2}$
Pure gauge	Complete two-jet; operator calculation; $\frac{1}{2} - 1 + \frac{1}{2} = 0$	Closed
Outside $g_{U}$	Dressed switch and edge defects, including propagated gap	Retained
C5	Fixed $ε$ only	Sharp limit unopened
Branch B	No metric action or contraction domain	Not opened

The $ε^{- r}$ upper bounds of X-B-v3 are not VII-C's hypotheses (E1)–(E4); no $ε \to 0$ limit is taken.

The quantum metric, graviton tree, and triangle remain separate successor problems. A partial diagonal in a schematic graph is not by itself a proved obstruction. No statement about those graphs is imported into this release.

Decision and final release

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