Manuscript V@1 · V.tex · figure · e7ddf37d

Closed conclusions and successor problems

Successor problems and final separation of conclusions · lines 3820–3848

V@1#fig:closed-and-successor

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metricscalarrepresented quantumdefect / unresolvedsupport / scope
raw classification H=0\mathbf H=0
harmonic classification E1H=0\mathsf E_1\mathbf H=0
compact representation on the fixed TT two-plane
external and one-oscillator first retarded coefficients
independent Newton–wave cubic form and joint cutoff limit
scope boundary
dense-TT representability
adiabatic g→1g\to 1
second vertex T2(V,V)T_2(V,V)
local metric field and graviton loops

Dashed tasks need separate definitions and proofs. The cubic form does not complete a retarded-product extension.

Two-plane interpolation is not dense-TT representability.
One scalar insertion is not the second vertex product.

Closed conclusions and successor problems. The manuscript establishes classical admissibility criteria, a restricted finite-plane construction, first retarded coefficients at compact switch, and an independent cubic form theorem. Dense-TT representation, the adiabatic limit, second vertex products, and local gravitational causal products remain separate tasks.

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