C.29:4.4.3 - No-lens entry: choosing a first candidate lens

Use this when the next lens-use action can benefit from a mathematical lens but no adequate mathematical object has been named. The output is MathLensUse.LensCandidateNote, not MathLensUse.OneLine and not a full card. State the ProblemStructureCue, choose one cheap CandidateLensFamily, say what it could make visible, name the ObservableOrControllableCue? when available, state the NextLensUseAction, compare it with the OrdinaryRivalOrFallback, and stop if no action changes. If the cue is still pre-articulation and no stable ProblemStructureCue can be named, do not mathematize it; preserve cue plurality through C.2.LS, A.16, A.16.1, B.4.1, B.5.2.0, or the relevant language-state pattern before applying C.29.

Use the single discovery menu in :4.2b. Compare one candidate with the ordinary fallback; broaden the search only when this comparison leaves a material question unresolved. Asking what can be observed or varied does not by itself require a measurement or experiment record; apply its subject pattern when constructing that result.