The Sky in 350 Billion Years

The fact that you did not know the whole dome was moving fortifies in my mind my hypothesis concerning dark energy which is based on one theoretical and two observable facts: 1. If one constantly accelerates an object at 1G for a period of time it will reach the speed of light.  2.  Without a fixed, outside reference, one is unable to detect motion or acceleration over a period of time.  3.  Everything from subatomic particles to water down the drain has angular momentum.  Hypothesis: the whole universe is "spinning" on any or many amorphous (unmeasurable) axes undetectable to us because we cannot see any fixed, outside reference to our universe.  That angular momentum accelerates objects, perhaps continuously, perhaps not, which explains the presence of an undetectable "energy."  Just a thought.  So,  what must the angular momentum of the universe be in order to fuel  its continued expansion?  Finally, is it really "spinning" about an axis or is it behaving more like an atomic particle?