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That's because there are no splits. What is sometimes picturesquely described as the world splitting is that if the universe is initially in a state in which a macroscopic property has a definite value, then interactions will lead to a state in which it does not have a definite value.Can what you are saying be expressed mathematically ? I really can't see where the splits come from or end up.

We can make this concrete by fine-graining. Let's pick some partitioning of the universe into little cubes of size maybe 1 cubic millimeter. Pick some indexing scheme so that each cube is defined by three integer indices ##i, j, k##. Then we can define a set of observables:

##\vec{E}_{ijk}## = the average electric field in cube number ##i,j,k##

##\vec{B}_{ijk}## = the average magnetic field in that cube.

##U_{ijk}## = the total energy within the cube.

##Q_{ijk}## = the total charge within the cube.

So we can (I assume) describe the Hilbert space of the universe using a basis of eigenstates of our countably many operators (they will approximately commute). (In general, there will be many eigenstates with the same values for those 4 operators).

So the phenomenon that might be described as "splitting" is that in certain circumstances, an eigenstate of our macroscopic operators may evolve into a state that is a superposition of different values for those macroscopic operators.