Physical versus phantom dark energy after DESI: thawing quintessence in a curved background

Recent data from Dark Energy Spectroscopic Instrument, in combination with other data, provide moderate evidence of dynamical dark energy, w≠ -1. In the w₀, wₐ parametrization of w, there is a preference for a phantom crossing, $w< -1$, at redshift z~ 0.5. In general relativity, the phantom equation of state is unphysical. Thus, it is important to check whether phantom crossing is present in other physically self-consistent models of dark energy that have equivalent evidence to the w₀, wₐ parametrization. We find that thawing quintessence with non-zero cosmic curvature can fit the recent data as well as w₀, wₐ in a flat background, based on both parametric and realistic scalar field evolutions. Although the realistic model does not allow $w< -1$, the parametrizations do allow it. However even if we allow $w< -1$ the data do not enforce phantom crossing. Thus, the phantom crossing is an artefact of a parametrization that is not based on a physical model.