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Specifically, the rotation of objects with mass is supposed to cause additional distortions (i.e., in addition to the non-rotating mass) in the space-time fabric.>The ether communicates angular momemtum?
I would guess that yes, you could say that.
However, I am not sure about the details, really. Some of this is discussed in pages that describe black holes: with large objects that rotate quickly, the effect is more relevant.
Difference in opinions hath cost many millions of lives: for instance, whether flesh be bread, or bread be flesh; whether whistling be a vice or a virtue; whether it be better to kiss a post, or throw it into the fire... (from Gulliver's Travels)