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A specific reference frame that describes its coordinates in a manner that does not depend on time and is isotropic.
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Rotation of our Galaxy's inertial frame
I'd just like to cross-reference the top answer to the question What if the universe is rotating as a whole. The detection level there is given as 10^-9 to 10^-15 rads/year, so roughly 10^-16 to 10^-2 …
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Rotation of our Galaxy's inertial frame
Suppose in the universe, there are inertial frames in the vicinity of galaxies. Suppose also that these frames rotate slightly with respect to each other - that the universe is not quite a 'mill pond' …