Can one approximate an "ether" frame by analyzing "superimposed" rotating frames?

kmarinas86

If we assume the axiom that all motion is ultimately curved, however small the curvature, it would appear that for every momentum you are going to have a radial vector associated with the non-zero deflection of that momentum. If I understand correctly, the "points" from which the all such radial vectors exist (centers of rotation) would be moving inertially with respect to one another. These points are not to be confused with actual presence of mass of course. For example, there is no special mass existing between Pluto and Charon, even though their collective axis of rotation exists between them and outside both of them. If I plotted the movements of these "points" (centers of rotation), versus the movements of the momenta that compose of this rotation, which are all relative to the motion of an arbitrary inertial observer, I would find that the RMS velocity of the momenta is greater than the RMS velocity of these "points" (centers of rotation), independent of the observer in question.

It would be natural to consider then the local rotations that these "points" (centers of rotation) create as a result of their parallel motion, anti-parallel motion, and motion between these extremes. By assigning mass to each moving "point" (center of rotation), we have another system of linear momentum. If we say there is unknown mass beyond that system, then it is likely that this finite system we consider has an overall motion whose velocity and radius is defined in the context of that greater system. However, like earlier, the RMS velocity of parts is greater than the RMS velocity of the whole.

What happens if we extend this relationship to infinity? The RMS velocity of the system would be asymptotically closer to zero at the largest scales, which is self-evident in the case that population of momenta consists of particles that cannot go any faster (i.e. [itex]c[/itex]). This would appear to be the means of deriving an approximation to a "rest" frame from the viewpoint of a trivial "ether" that we cannot detect in practice.