@article{SilbersteinLXXVIQF,
title={LXXVI. Quaternionic form of relativity},
author={L. Silberstein},
journal={Philosophical Magazine Series 1},
volume={23},
pages={790-809}
}

where in the case of pure rotation a and b must of course be either unit-quaternions or at least such that T 2 a.T 2 b = 1; T denoting the tensor. On the other hand, it is widely known that the so-called Lorentz-transformation of the union of ordinary space (x,y,z) and time (t), which is the basis of the modern theory of Relativity, corresponds precisely to a (hyperbolic) rotation of the fourdimensional manifoldness (x,y,z, t), or of what Minkowski called the “world.” Hence the obvious idea of… CONTINUE READING