SUPERLUMINAL SPATIO-TEMPORAL TRANSFORMATIONS First basic step toward the Superluminal Relativistic Mechanics

The paper provides a crucial elementary derivation of new superluminal spatio-temporal transformations based on the idea that, conceptually and kinematically, each subluminal ) (0 c v   ; luminal ) ( c v  and/or superluminal inertial reference frame c v > has, in addition to its relative velocity v , its proper specific kinematical parameter   v  , which having the physical dimensions of a constant speed defined as:   c v c v     0 if ;   c v v v   if > ;   c v c v c v > if / 1 2 2    and     v , v v      2 2 . Consequently, the relativity principle and causality principle are coherently extended to superluminal velocities and, more importantly, this original approach constitutes the first basic step toward the formulation of superluminal relativistic mechanics in which the standard special relativity theory should be a particular case.