According to CCC and to my understanding, it is sort of the case. The universe has undergone a "scale change" which marks the beginning of a new Epoch.

It's explained in this PBS Space Time episode much better:

https://www.youtube.com/watch?v=PC2JOQ7z5L0

If that's the case, then wouldn't we have some kind of special background radiation? Penrose stated that some things must be visible through background radiation right? (something with black holes of the preveious aeon)

If that's the case, then we might be able to observe that state and try to workout, whether we get to that same state.

I was wondering the same thing. Perhaps time isn't a paint smear but a shockwave in a sphere.

That would require that quantum states are not random, but repeat in a deterministic way.

It could be that the determinism exists outside where we're observing.

Also it might not be a given that events unfold in the same order, in each iteration.