Time-Longitudinal Dilations and Scaling Behavior of High-Energy Collisions

The assumption that a dilation transformation in time and one space direction is implementable for matrix elements of certain operators between states with constituent particles moving mainly along that direction with large momenta, leads to scaling of inclusive processes in the high-energy limit. Without further restriction, certain exclusive processes likewise survive this limit. A nonzero limit for some of these processes, namely, those involving a transfer of quantum numbers, is unacceptable. This difficulty is overcome by postulating that conserved quantities may be broken up into right- and left-moving ones, and each is separately conserved.