What gives a "theory of Initial Conditions" ?
Abstract
The present work contains a review of some of the work we have done on complex action or non-Hermitian Hamiltonian theory, especially the result that the anti-Hermitian part of the Hamiltonian functions by determining the actual solution to the equations of motion, that should be realized; this means it predicts the initial conditions. It should be stressed that a major result of ours is that the effective equations of motion will in practice -- after long time -- be so accurately as if we had indeed a Hermitian Hamiltonian, and so there is at first nothing wrong in assuming a non-Hermitian one. In fact it would practically seem Hermitian anyway! A major new point is that we seek by a bit intuitively arguing to suggest some cosmologically predictions from the mentioned initial conditions predicted: We seek even by assumming essentially nothing but very general properties of the non-Hermitian Hamiltonian that we in practice should find a bottom in the (effective Hermitian) Hamiltonian and that the Universe at some moment should pass through a (multiple) saddle point very closely, so that the time spent at it would be very long.
Keywords
Cite
@article{arxiv.2303.04618,
title = {What gives a "theory of Initial Conditions" ?},
author = {Holger Bech Nielsen and Keiichi Nagao},
journal= {arXiv preprint arXiv:2303.04618},
year = {2023}
}
Comments
This article is a contribution to the 25th Workshop in Bled on "What comes beyond the Standard Models" edited by Norma Mankoc, Astri Kleppe and Holger Bech Nielsen (already published last year, i.e. in 2022 as a book)