The argument in summary Hypotheses Rate of angular rotation is a true vector quantity.
Inertial frames are equivalent.
This acts as a master clock, defining sequence. It can be represented as a vector rate of rotation W in a fifth dimension. Everything in the rotating universe has a tensor quantity of magnitude W R due to the angular rotation. The equivalence of inertial frames in the rotating universe is interpreted strongly, that is to say there is no preferred inertial frame in this model. The simplest non-trivial family of continuous whole space transformations preserving these features is the family of real rotations that represent displacements in S 3 .