Authors: Fernando Salmon Iza
We have obtained a theoretical result that leads us to believe that a universe with zero spatial curvature is incompatible with the results corresponding to the acceleration of our universe over the last 6 billion years, a phenomenon attributed in the ΛCDM model to the existence of dark energy. To this end, we calculated the scale factor of a universe with zero spatial curvature in the FLRW metric and found that this factor is always linear, thus invalidating the possibility of a positive acceleration of the universe such as that attributed to dark energy. We have demonstrated the linearity of the scale factor in spatially flat universes (k=0) through a mathematical development based on the Friedmann equations and conformally flat metrics.
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[v1] 2025-11-17 01:58:47
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