λEnter Calculus CompanionRegistered manuscripts, kept distinct

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

Two questions and five objects

Two questions and five distinct objects › Object ledger · lines 282–319

V@1#fig:object-roadmap

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metricscalarrepresented quantumdefect / unresolvedsupport / scope

Different inputs, degrees, and conclusions.

Classical
fixed ϕ,f,t0\phi,f,t_0
Bf(h,ϕ)B_f(h,\phi)
compact conserved representative or gauge obstruction
full-space classification
restricted TT plane
Quantum
specified compactly switched vertex
R1,1R_{1,1}
represented coefficient
external metric: linear scalar
one oscillator: mixed quadratic
Separate cubic lane
T(ϕ)T(\phi)
RAT(ϕ)\mathcal R^A T(\phi)
Bf(RAT(ϕ),ϕ)B_f(\mathcal R^A T(\phi),\phi)
cubic Wick form
No equality arrow from R1,1R_{1,1} to the cubic lane.

Two questions and five distinct objects. The classical problem asks for compact conserved representatives on declared solution spaces. The perturbative problem starts from a compactly switched vertex and constructs its first retarded scalar coefficient. The Newton–wave composition is a separate cubic observable, not either retarded coefficient.

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