The tunneling hamiltonian representation of false vacuum decay V. Application to cosmological constant question

TL;DR

This paper extends the tunneling Hamiltonian approach to model the nucleation of an inflationary universe, providing insights into the cosmological constant problem and conditions for pure cosmological constant behavior.

Contribution

It introduces a generalized wave functional method for universe nucleation, linking tunneling dynamics to cosmological constant conditions and dark matter formation.

Findings

First order phase transition models universe nucleation.

Conditions identified for pure cosmological constant behavior.

Potential implications for dark matter formation.

Abstract

The tunneling Hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wavefunctions. Here we apply a generalization of the way we formed appropriate wave functionals for charge density waves to how to present nucleation of an inflationary universe. This allows us to make a first order phase transition to initiate nucleation of an inflationary universe, in which tunneling between states which are wave functionals of a scalar quantum field are considered. Our prior article showed us how we can have particle - anti particle pairs as a model of how nucleation occurs and construct a potential which may permit formation of dark matter, using Sherrers k essence model construction. This same construction permits a definitive analysis of when conditions for pure cosmological constant behavior but no growth of density pertubations occur, largely as a matter of change of slope of a soliton-anti soliton pair during the nucleation process of a new universe.