The constructed candidate implies option (D)

For every positive viscosity ν, use zero initial velocity and the forcing fν x t = ν² • f (ν * t, x) supplied by the viscosity-one candidate. Its smoothness, periodicity, and compact future time support give every force-decay bound required by the comparator. A hypothetical global solution rescales to a global viscosity-one solution, contradicting the existing maximal-lifespan theorem.

No result here uses any of the comparator's unproved statements.

theorem NavierStokes.ComparatorBridge.option_D_of_candidate {u : ProblemStatement.VelocityField} {p : ProblemStatement.PressureField} {f : ProblemStatement.VelocityField} (h : ProblemStatement.CandidateProperties u p f) (ν : ℝ) (hν : 0 < ν) : ∃ (u₀ : ProblemStatement.Space → ProblemStatement.Space) (f : ProblemStatement.Space → ℝ → ProblemStatement.Space), Comparator.InitialVelocityConditionPeriodic u₀ ∧ Comparator.ForceConditionPeriodic f ∧ ¬∃ (v : EuclideanSpace ℝ (Fin 3) → ℝ → EuclideanSpace ℝ (Fin 3)) (p : EuclideanSpace ℝ (Fin 3) → ℝ → ℝ), Comparator.NavierStokesExistenceAndSmoothnessPeriodic ν u₀ f v p

Any witness of the original candidate statement implies option (D), for every positive viscosity, with all comparator hypotheses discharged.

theorem NavierStokes.ComparatorBridge.navier_stokes_breakdown_periodic (ν : ℝ) (hν : ν > 0) : ∃ (u₀ : EuclideanSpace ℝ (Fin 3) → EuclideanSpace ℝ (Fin 3)) (f : EuclideanSpace ℝ (Fin 3) → ℝ → EuclideanSpace ℝ (Fin 3)), Comparator.InitialVelocityConditionPeriodic u₀ ∧ Comparator.ForceConditionPeriodic f ∧ ¬∃ (v : EuclideanSpace ℝ (Fin 3) → ℝ → EuclideanSpace ℝ (Fin 3)) (p : EuclideanSpace ℝ (Fin 3) → ℝ → ℝ), Comparator.NavierStokesExistenceAndSmoothnessPeriodic ν u₀ f v p

Option (D), with exactly the comparator's quantifiers, from the project's closed candidate construction.