Madelung hydrodynamics — quantum mechanics as a probability fluid

Write ψ = √ρ·e^(iS/ħ) and the Schrödinger equation becomes fluid dynamics of the probability density ρ = |ψ|²: a continuity equation with velocity v = ∇S/m, plus an Euler equation carrying a 'quantum potential.' The interference and tunnelling of QM are the flow of this fluid. Which fluid is ontologically real (Bohmian pilot-wave) is an interpretation — refused as unsealable.