Cat,
Obviously, this thread has drifted.
I thought the link you posted in reply #24 provided the best available answer to my original question, and said so in reply #27. For me, that would have closed the thread.
But, you as well as others have introduced other issues since then, and I have responded to some of those issue, myself.
Perhaps we should start other threads on the other subjects, or maybe attach them to some existing threads. But, to do so will require that we somehow transfer the material that initiated the new subjects from this thread to the new thread(s).
To try to close out the "spin" subject, it seems that the study you provided a link to in reply #24 shows that there is no spin to the universe to a pretty good level of confidence.
So, that makes the difference you and I have about whether "spin" as a property of the universe requires an external (to the universe) point of reference somewhat irrelevant.
To restate what I think the 2 positions are: you seem to be saying that, without an external reference to compare it to, spin cannot exist , because there can be nothing "external" to the universe because the universe includes everything by definition.
My position is that spin is an intrinsic feature that can exist without any need for an external reference. A spinning frame of reference has different internal dynamics compared to an inertial frame of reference. My question was whether we would be able to recognize spin if it exists, or would we see the effects of the related accelerations and call them something else (maybe "dark energy"") in a manner similar to the way we call the tendency of the winds on our rotating Earth to turn from a "straight" (but actually curved) path the "Coriolis Force".
The paper you provided in your link seems to indicate that the relativity equations can be solved for cases with spin in the universe, and the predictions from those solutions for how the cosmological background radiation should look can be compared to observations to see if it looks like what spin would cause it to look like.
So, I think the paper in your link bears out my understanding of "spin" for the universe, but also supports your belief that none exists.
So, the only outstanding disagreement between our 2 positions is whether "spin" in the universe is excluded from possibility by the definition of "universe" or is theoretically possible. even if not found to occur.