Cannot stop picturing this ".. timeless mathematical object .." as something like this: http://laughingsquid.com/hey-jude-flow-chart/ – the only difference is that every point in the chart is a still frame of the universe.
Interesting that this "reality" configuration is very "user-friendly": a unlimited number of "sentient-beings" can read the chart at the same time with little or no impact to the system. And if we see one's "life" as is it's own reading path, we have an interesting –and elegant– picture of the "implementation" of the multiple universes theory.
Multiple versions of me can be at the exact same "frame" at the same time, but it holds a different "meaning" inside their own reading path, the exact same way that the same word can mean different things between two different words.
Just letting my mind run wild.