2004/07/28 by Andrew Beckwith, A. W. Beckwith, Beckwith, A. W.
Mathematics · Physics and Astronomy · #81V17 #85A40 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:81V17 #msc:85A40
paper · pdf · doi:10.48550/arxiv.math-ph/0407070
27 pages,2 figues
arxiv created 2004/07/28 · openalex publication_date 2004/07/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 CDW on how to present nucleation of an inflationary universe. This allows us to make a generalization of the model used for inflation where the infation is trapped in a false vacuum and, after tunning makes a first order phase transition to initiate nucleation of an inflationary universe, in which tunneling between states which are wave functionals between states which wavefunctionals of a scalar quantum field are considered.We explain 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 Scherrers k-essence model construction.