I will make another try at justifying the point that a uniformally rotating universe ought not experience centripetal force that would be able to replace dark energy for expanding space unless space-time of the Universe is embedded within something else (i.e. aether) and/or it has an axis point that exists in space-time at the same relative location or the rotation exists within space-time of the Universe anisotoprically and isn’t present at 100% of the space-time Universe.
“From the rider’s perspective, they feel a force pushing them outward, seemingly away from the center of the merry-go-round. This is a perceived force due to the observer’s frame of reference (the rotating merry-go-round), not an actual force acting on the rider.”-google search
“According to Newton’s first law of motion, it is the natural tendency of all moving objects to continue in motion in the same direction that they are moving … unless some form of unbalanced force acts upon the object to deviate its motion from its straight-line path. Moving objects will tend to naturally travel in straight lines; an unbalanced force is only required to cause it to turn. Thus, the presence of an unbalanced force is required for objects to move in circles.” –Quote from ‘The Physics Classroom’
I like special relativity as an explanation of the criterion; special relativity would have the internal state/speed of a moving train being motionless to an observe seated on the train with the windows closed and the train itself moving only in relation to something else such as the ground below it (or the ground moving below the train). I believe the same principle would apply to an object such as a sphere, circle or wireframe square slowly rotating in the midst of nothingness; internally nothing is changing position, and neither is it externally changing position. A merry-go-round always has external forces acting on it and has real matter beyond it. If the pivot point of the merry go round was changing too at the same speed as the perimeter and there seemed to be no apparent motion to an observer in the Universe or merry go round I don’t see where a centripetal ‘force’ would arise.
Considering the idea of it having an axis, and rotating once every half trillion years- shouldn't the perimeter move faster than light at a certain point? https://www.livescience.com/.../universe-may-revolve-once...