2005/02/04 by Andrew Beckwith, A. W. Beckwith, Beckwith, A. W.
Mathematics · Physics and Astronomy · #65Z05 #85A40 #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #Mathematical Physics (math-ph) #Space Science and Extraterrestrial Life #math-ph #math.MP #msc:65Z05 #msc:85A40
paper · pdf · doi:10.48550/arxiv.math-ph/0502016
22 pages,1 figure; several typos corrected, including regularizing transplanckian throughout this submission
openalex publication_date 2005/02/04 · arxiv created 2005/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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