The role of statistics in the ontological interpretation of the quantum theory
In our interpretation, the primary significance of the wave function is that it is a quantum field which determines information that is active on the particles in each individual system. However, we also say that the wave function determines the probability density in a statistical ensemble through the relationship P=|Ψ|2. But as already pointed out in chapter 3, section 3.4, this is regarded as a secondary significance of the wave function. In principle there is no reason why the probability could not be different from |Ψ|2, even though it is equal to |Ψ|2 in all cases that we have encountered so far.