  We use the trans Plankian hypothesis about Dark energy as outlined by Mercini
et al to investigate some of the physics of cosmological expansion. We find
that a parametric oscillator equation frequency we can use leads to a time
dependent frequency whose dispersion relationship behavior mimics the Epstein
functions used by Mercini et al in the initial phases of cosmological
expansion, but that it is very difficult to meet the trans Planckian
assumptions of a vanishing of this same frequency with known physics at ultra
high momentum values. So being the case, a numerical algorithm used to re
construct the scale factor for cosmological expansion is proposed which is to
re construct more of the physics of the Trans-Planckian hypothesis in
Trans-Planckian momentum values
