I have a set of states between $t=0$ and $t\to\infty$. I'd like to write the following:
The states are distributed over $t=\left(0,\infty\right)$, so the intervals in $t$ between them are indeterminate.
What would be an idiomatic way to write this? If indeterminate is the wrong word, what would be an accurate way to express that we can't access the time intervals because we can't take finite partitions of an infinite duration?