Getting back to the original question: Are ALL quantum variations explored?

So let me ask some more basic questions:

How many distinct choices of new state does a particle, say an electron,
have at each time quanta?

Let's call that number X.

In an admittedly over-simplified universe of two particles, the number of
new universe states at the next time quanta is X^2, right?

In a universe with Y particles, the number of new states that arise from a
given previous state at each time quanta is X^Y, right?

And due to quantum interference, certain states are less common, and other
states are more common.

I realize that these are very elementary questions. I'm just trying to get
my bearings here.

The thing that is simply inconceivable to me is that this bizarre explosive
growth is an explosion of *information.* The multiverse seems to have an
unlimited capacity to generate and store these new universe states, and also
an unlimited capacity to compare all of these universe states to each other
in order to produce the quantum interference we observe.

The thing I like about the theory is that it certainly takes the dice out of
God's hands. Since all states are exhaustively explored, there is no
randomness at all. We just happen to exist in some portions of the immense
tree of states, and not in other portions.

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