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arXiv · 2506.21099

On the Dark-Energy Enigma

Ali H. Chamseddine·Jürg Fröhlich
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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.

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Ali H. Chamseddine, Jürg Fröhlich. 2025-06-26. On the Dark-Energy Enigma. https://arxiv.org/abs/2506.21099

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