Suppose we have a quantity which can take discrete equally spaced values. Iteratively, we can increase or decrease this quantity by one quantum, splitting into two new worlds each time. After multiple iterations we have some indistinguisable worlds, as described by Pascal's triangle. As the number of iterations tends towards infinity, this distribution tends towards the Gaussian distribution matching the distribution given by unbiased measurements on incoherent systems, which is pretty cool. So my question is, where does this line of thinking go? Can we take it any further?