theorem escort_fisher_zero_at_symmetry [NeZero J]
{c₀ : ℝ} (hc : 0 < c₀) (ρ : ℝ) :
escortVariance (fun _ : Fin J => c₀) ρ
(fun _ => Real.log c₀) = 0 :=
escort_variance_const _ (fun _ => hc) ρ (Real.log c₀)### Part F: The Dual Curvature Principle