For a given set of slivers, what determines the order in which they 'flip'? Who or what decides? It must depend upon entropy. The laws of thermodynamics surely come into play.
Let's look for a simple explanation.
Start with the (unobservable) observation that most slivers consist of nonsense. (In the same way that you don't often produce readable text when you randomly hit a million keys on your keyboard.) There are only a very few slivers that comprise recognizable 3-D images. Therefore, there's an inherent value or meaningfulness of the sliver depending upon how well its pixels pattern. The more highly organized they are, or how concentrated, the higher that value.
Slivers flip in the order from high to low complexity. That's simply their nature; they flow 'downhill' as it were.
So there's also an endpoint beyond which they cannot flow. The end of time consists of diffuse, equally distributed noise, gas, particles, or electromagnetic radiation, however you choose to regard it. It's a true nothingness.