George Bogoslovsky (Lomonosov Moscow State University and Skobeltsyn Institute of Nuclear Physics, Moscow, Russia)

A metric of the 3-velocity space induced by the Finslerian metric of the entirely anisotropic event space

It is shown that in contrast to the conventional special relativity theory where the Minkowski metric of the event space leads to the Lobachevski metric of the 3-velocity space, the generalized special relativity theory based on the Finslerian event space with entirely broken 3D isotropy leads to a new geometry of the 3-velocity space. The corresponding 3-velocity space metric is presented in an explicit form.