 The relation between the wave function \(\psi\) and the Hamilton-Jacobi functional \(S\) is more than an analogy, because in the semiclassical approximation the later approximates the first \((\psi \sim \exp iS/\hslash)\). This fact can be taken as an argument against a realistic interpretation of \(\psi\) for the following reason. A way to clarify the interpretation of a quantity in the mathematical apparatus of a physical theory is to study what this quantity reduces to in an approximation where the interpretation is clear. The Hamilton-Jacobi functions of, say, a classical particle has no realistic interpretation. Notice that if we gave it a realistic interpretation, we would generate mysterious collapses and jumps as we have for the wave function. Voiding the quantum states of a realistic interpretation avoids jumps and collapses. (Another argument against the realistic interpretation of \(\psi\) is given in Rovelli 2016.)