On the Dark-Energy Enigma
Abstract
We present a model that offers an explanation for the presence of (Dark Matter and) Dark Energy in the universe. A key idea is to express the volume form of the Lorentzian metric on space-time in terms of a positive function of a new scalar field multiplying a certain four-form given by the wedge product of the differential of the mimetic scalar field and a certain closed three-form. An ansatz for this three-form related to one commonly used to determine the winding number of a map from a three-dimensional hypersurface to a three-sphere is discussed. An action functional depending on the space-time metric, the new scalar field, the mimetic scalar and the three-form is proposed, and the field equations are derived. Special solutions of these equations for a Friedmann-Lema\^itre universe are presented.
Keywords
Cite
@article{arxiv.2506.21099,
title = {On the Dark-Energy Enigma},
author = {Ali H. Chamseddine and Jürg Fröhlich},
journal= {arXiv preprint arXiv:2506.21099},
year = {2026}
}
Comments
15 pages