Does the wave function in quantum mechanics have an objective reality?
There is no consensus in either the physics or philosophy community on this issue. Most, if not all, physicists take quantum mechanics to be essentially complete. So the different interpretations of quantum mechanics are just different ways of looking at the same theory. Unfortunately, this means, for the most part, that we can’t use the theory to distinguish between interpretations. Interestingly, the complete lack of empirical content of some of theories raises the question of whether the theories can really be considered scientific ones. There is no doubt that the theories are about science, but that doesn’t necessarily mean that they are science. Some interpretations say the wave-function has objective reality while other do not. There are over a dozen different interpretations, and I am unfamiliar with most of them. Interpretations were not discussed, or even mentioned in passing, in any of the four quantum mechanics courses I have taken. The inability to test them has resulted in
