Radioactive decay is uncaused
Not exactly. We don't know what causes it. If something does cause it, it is "random" but is not necessarily uncaused.
Our universe does contain, even if deterministic, sufficient information to account for this apparent randomness.
Imagine the universe as a sphere at time 0 This sphere is exactly singular at this moment in time. It is a singularity.
At time 1, there is no longer a singularity, and the sphere has real shape. It's radius is determined by the speed of interaction, and in that moment it has seen all the matter within this sphere, but only that matter. There is more matter past that, but it too only sees some small sphere of the whole, and this continues infinitely. Whatever was revealed is truly as random as the starting condition was.
In the next moment, a new jumping of this gravitational front happens, and this will happen again and again and again.
In each moment we do see sufficient new information, not created but more just revealed, at the edge of this still-expanding bubble, revealed as initial interactions with the gravitational force as to accommodate this need for randomness.
Now, I'm not sure if this is specifically what is determining it. All I know is that in each moment, new and *completely random" information is revealed, as new-to-us universe is exposed, and that this DOES accommodate the need for "enough" information.
Whether it's specifically that information is anyone's guess, and I'm not sure how you would even test it. I just know that the cosmic microwave background grows in distance year on year, and whatever background of gravitational interaction beyond that, and that this IS a source of "randomness" despite being completely deterministic.
I think some time ago I discussed the "infinite preloaded dice roller" model of determinism, but expressed not having a clue where the dice were. Well, there are dice (particles) right there loaded in the roller (the stuff beyond the front of interaction).