Recent experimental results, namely, the remeasurement of the [rho] value by UA4/2 at [radical]s = 546 GeV, together with a new analysis by the E710 group of [sigma][sub tot], [rho] and B at [radical]s = 1800 GeV, as well as their measurement of [sigma][sub tot] and B at [radical]s = 1020 GeV, have provided important anchor points for the high energy behavior of [anti p]p scattering. The authors analyze high energy [anti p]p and pp data, using two distinct (and dissimilar) analysis techniques: (1) asymptotic amplitude analysis, under the assumption that they have reached [open-quotes]asymptopia[close-quotes], and (2) an eikonal model whose amplitudes are designed to mimic real QCD amplitudes. The former gives strong evidence for a log (s/s[sub 0]) dependence at current energies and not log[sup 2](s/s[sub 0]), and demonstrates that odderons are not necessary to explain the experimental data. The latter gives a unitary model for extrapolation into true [open-quote]asymptopia[close-quote] from current energies, allowing them to predict the values of the total cross section at future supercolliders. Using their QCD-model, the authors obtain [sigma][sub tot](16 TeV)= 106 [+-] 4 mb and [sigma][sub tot](40 TeV) = 120 [+-] 5 mb.