What is the inertial frame in reference to?

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Offline Frazier

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What is the inertial frame in reference to?
« on: 23/07/2016 23:26:24 »
I would like to start on a thought experiment which supposes that the reference of all inertial frames is to mass, or other mass.

Imagine that mass in any frame of reference votes on mass with mass in its inertial reference to mass which is not in its inertial reference frame. Lets take the example of a spinning object in a universe which consists of a massive ball and a donut which has the same moment of inertia.

From this supposition of which mass behaves. We look down on our universe to see a relative rotation between the ball and the donut. Regardless of how much energy you put into the donut or the balls rate of spin, the angular momentum of the ball going in one direction is equivalent to the angular momentum of the donut going in the opposite direction. If one were to look at the ball and see it as having absolute rotation - with the donut having no rotation at all. There would exist a discrepancy between the observed angular velocity of the ball and its centrifugal bulge.

Now imagine that the donut is made of increasingly more liquid substance, then gas, then imagine it is just particles of mass which are unbound to one another. There exists no static forces but that the counter angular momentum to the ball's spin remains true. If you can imagine you will see there is a centrifugal acceleration of the point like masses away from the ball - the further the point like masses are from the ball the greater the moment of inertia of the "donut's" rotation and the closer the ball's spin becomes to absolute rotation.

What is of interest to me about this thought experiment is that the situation of having a rotational discrepancy and the accelerated expansion of things around it seem similar to what is going on with rotational curve discrepancies of galaxies and the expansion of the universe but there are some big problems with this idea. 1) galaxies moment of inertia are insignificant when compared with the moment of inertia of the whole universe spinning around it - the expansion of the universe might be explained as the result of the sum total of all angular momentums in the universe but what isn't explained is the rotation curve discrepancy of galaxies. Anyway I thought this was an interesting analogy that might warrent some looking into.

Imagine a ball and a donut around the ball the ball and the donut are such that their iner