theorem bridge_in_two_worlds {J : ℕ} {ρ : ℝ} (hρ : ρ ≠ 0)
{c : ℝ} (hc : c ≠ 0) (hJ : (↑J : ℝ) ≠ 0) :
-- The bridge theorem: same curvature, two observation speeds
-hessLogFEigenvalue J ρ c =
bridgeRatio ρ * escortFisherEigenvalue J ρ c :=
bridge_theorem hρ hc hJTemporal Ordering Rules from Two-World Timescale Separation