R×S³ special theory of relativity

A theory of relativity, along with its appropriate group of Lorentz-type transformations, is presented. The theory is developed on a metric with R×S³ topology as compared to ordinary relativity defined on the familiar Minkowskian metric. The proposed theory is neither the ordinary special theory of relativity (since it deals with noninertial coordinate systems) nor the general theory of relativity (since it is not a dynamical theory of gravitation). The theory predicts, among other things, that finite-mass particles in nature have maximum rotational velocities, a prediction highly supported by recent experiments on 14 nuclei, such as¹⁵⁹Yb that survives fission with angular velocities of up to 0.9 of the predicted value but does not reach it.