Аннотация

Successful centenary of the Einstein’s Special Relativity (SR) could not stop persistent search for other versions of a space-time model. Among them 3+3 space-time theories were not rear, e.g. works of M.Pavsic [1], E.A.B.Cole, S.A.Bushanan [2,3]. These 3+3-type theories are all based upon heuristic ideas reflecting intuitive belief into the universe’s great symmetry. But use of the traditional SR methods within structurally more complicated space-time schemes lead to interpretational difficulties. Surprisingly a version of specific non-Abelian 3+3-relativity theory is found hidden in mathematics of quaternion (Q-) numbers discovered by William Hamilton in 1843. This report is devoted to presentation of the version with demonstration of its interrelation with SR and of its benefits for practical purposes.