2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57906We previously showed that we can use particle-anti particle pairs as a model of how nucleation of a new universe occurs. We now can construct a model showing evolution from a dark matter- dark energy mix to a pure cosmological constant cosmology due to changes in the slope of the resulting scalar field, using much of Scherrer's k-essence model. This same construction permits a use of the speed of sound, in k essence models,evolving from zero to one. Having the sound speed eventually reach unity permits matching conventional cosmological constant observations in the aftermath of change of slope of a soliton anti soliton pair during the nucleation process of a new universe. This also assumes that Scherrer's derivation of a sound speed being zero is appropriate during initial inflationary cosmology.13 pages, four figures, two on each page. Abstract will be submitted to Gainsville FL. APS meeting in April, 2005: The replacement here is to set Scherrer in place of Sherrer in the previous submissionMathematical Physics85A40text