I agree that the wave function is probably less mysterious than we think. We know that there are fields in empty space that are non-zero in energy. These fields are usually below the threshold required to form a particle. These fields are also very noisy, similar to the random motion of Brownian motion. I believe that this is the source of the randomness in the location of quantum interactions. I could be wrong, but it is intriguing.

Is it necessary to have a fifth dimension to describe this below threshold energy? Or are there other reasons to have a 5th dimension such are explaining entanglement.