I don't think a quantum jump would have to be instantaneous, just that there may be some unknown process that works at an action at a distance that causes the jump.
Define coupling "resonance", wouldn't a coupling "resonance" have to transfer that information instantaneously if it was resonating or not?
I don't think it would be from the initial and final states, but a problem of coupling resonance between the intermediary state during the jump. In other words I think the electron would only have to instantaneously "know" the locations it should start the jump and the locations that it should finish the jump, but that does not mean that it would have to instantly jump from one location to another.
I don't think it is a coincidence that the orbitals of electrons in the atom are a thin shell of electron clouds. Quantum physicist could have said that there where just different lengths of seaweed growing on the atom, and that is why we see different spectral lines from them. But they didn't, I am just saying that electrons traveling around the atom in these thin shells of electron clouds can be seen as a literal interpretation of what is actually going on and there may be some unknown reasons for that.
I think the Schrodinger Equation may just be incomplete as there is not a consensus on what interpretation of the Schrodinger Equation to even take. There may be some type of superluminal communication that would be necessary to then create a more accurate Schrodinger Equation, but then if you assume that no information can travel faster than the speed of light then this more accurate theory could never be found. Even quantum entanglement has been shrugged off as not actually sending information faster than the speed of light even though there is an action at a distance that is going on, but what if quantum entanglement is not the only process that operates at an action at a distance? In a unified theory it would seem that it would have to have some other influences on other quantum mechanical properties if quantum entanglement actually does operate with an action at a distance.