About two years ago I posted a question about a symmetrical twin paradox: HereHere.
Recently a new answer was posted and an intense discussion ensued: HereHere.
One of the points discussed concerns a preferred reference frame in this universe:
The asymmetry comes from the fact that the universe itself has a reference frame, and its size will lorentz contract. This is measurable by the people themselves--all that needs to happen is to send out a light ray and wait for the light ray to go around the world. The 'diameter of the universe' will be (light orbit time)/c. This time will be observed to be smaller the faster the observer is travelling. So all observers will agree that there is a global, absolute notion of motion, and this will pick out who ages when.
My questions
- Which (mathematical) characteristics determine whether there is a preferred reference frame in a universe?
- Does our universe have a preferred reference frame?
- If a universe has a preferred reference frame is this comparable with the old aether?
- If a universe has a preferred reference frame don't we get all the problems back that seemed to be solved by RT (e.g. the 'speed limit' for light because if there were a preferred frame you should be allowed to classically add velocities and therefore also get speeds bigger than c?