The Importance of Wave Functions in Quantum Physics

A wave function is like a mathematical concept or construct that describes What something is doing or going to do. It's the solution to the shorting equation that doesn't help me We don't really know what the wave function is. Nobody really cares about the wave function being negative usually. But in this one particular case it turns out to be weirdly really important because what happens if you have two fermions Which are identical like two electrons and they're in exactly the same state? The universe says if you do that you get a negative sign for the wave function, right?