Explaining Phenomenologically Observed Space-time Flatness Requires New Fundamental Scale Physics
Abstract
The phenomenologically observed flatness - or near flatness - of spacetime cannot be understood as emerging from continuum Planck (or sub-Planck) scales using known physics. Using dimensional arguments it is demonstrated that any immaginable action will lead to Christoffel symbols that are chaotic. We put forward new physics in the form of fundamental fields that spontaneously break translational invariance. Using these new fields as coordinates we define the metric in such a way that the Riemann tensor vanishes identically as a Bianchi identity. Hence the new fundamental fields define a flat space. General relativity with curvature is recovered as an effective theory at larger scales at which crystal defects in the form of disclinations come into play as the sources of curvature.
Cite
@article{arxiv.1306.2963,
title = {Explaining Phenomenologically Observed Space-time Flatness Requires New Fundamental Scale Physics},
author = {D. Bennett and H. B. Nielsen},
journal= {arXiv preprint arXiv:1306.2963},
year = {2013}
}
Comments
This article were already in 2011 published as Proceedings of the 14th Bled Conference on "What Comes Beyond the Standard Models" organized by Norma Manko Borstnik, Dragan Lukman, Maxim Khlopov, and H.B. Nielsen