On a permissible anisotropy of space-time

Conventional character of the concept of simultaneity and distance in a special relativity theory is discussed. Lorentz-Edwards transformations are considered taking into account explicity allowable time anisotropy. Permissible experimentally space anisotropy is introduced by the ''gauge'' transformation of space coordinate in the Lorentz formulae. Finally a possibility of introduction of anisotropic space-time within the stated conventions is considered. Corresponding generalized Lorentz transformations, expressions for one-way velocities, ''right'' and ''left'' distances for material bodies etc. are obtained. The possibility to generalize the Lobachevsky geometry over anisotropic space of velocities is also discussed