We present two things in this discussion. First, we develop and prove the
theory of the extension of the YFS Monte Carlo approach to higher order SU_{2L}
x U_1 radiative corrections to the analogous higher order QCD radiative
corrections. Contact is made with other pioneering soft gluon resummation
theories in the literature. Second, semi-analytical results and preliminary
explicit Monte Carlo data are presented for the specific example of the
processes p-bar p -> t-bar t +n(G)+X at FNAL energies, where G is a soft gluon
and the respective event generator, ttp1.0, features realistic, event-by-event
simulation of multiple, soft, finite p_T gluon effects in which the infrared
singularities are canceled to all orders in alpha_s. We comment briefly on the
implications of our results on the CDF/D0 observations and on their possible
applications to RHIC physics and to LHC physics.Comment: 16 pages, 2 figs., 2002 Epiphany Con
