Matching Scherrer's k essence arguement with behavior of scalar fields permitting derivation of a cosmological constant

TL;DR

This paper models the evolution of the universe from a dark matter-dark energy mix to a pure cosmological constant using scalar fields and k-essence, linking particle pairs to universe nucleation and sound speed dynamics.

Contribution

It introduces a novel model connecting Scherrer's k-essence framework with universe nucleation, demonstrating how scalar field slope changes can produce observed cosmological constants.

Findings

Scalar field slope changes lead to a transition from dark matter-dark energy to cosmological constant.

Sound speed evolves from zero to one, matching cosmological observations.

Model aligns initial inflation with Scherrer's sound speed derivation.

Abstract

We 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.