This is a wrong assumption from your part. We do not speak about real forces causing a change in momentum of the COM but fictitious one that possess no reaction. The fictitious force (Euler force) manifests in the rotating frame where the latter is enclosed in the inertial one. I dismiss nothing and nobody. I made it quite clear how the construction may acquire an acceleration. Now if this has further implications (as I show it in the relativity and Lorentz transformations section in my w