In the many worlds interpretation there is only supposed to be the wavefunction and no collapse, which puts an image in my mind of this thing waving in 3D space sort of like temperature fluctuations or something (I understand that the values are complex).
My main question is where the "branches" arise out of all of this. Is it just that there are so many things getting stacked on top of each other to make the total wavefunction that each subpart perceives itself as a separate system?