Minimally coupled kinetic-gravity-braiding models can cross w = -1 with stable perturbations and remain broadly consistent with current data, so phantom crossing does not uniquely favor conformal coupling.
Blanchard, The fallacies of lcdm falsifications, Cosmol- ogy Research - Addressing Current Problems with As- trophysics [Working Title] 10.5772/intechopen.1010549 (2025)
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Non-parametric exploration of minimally coupled gravity with phantom crossing
Minimally coupled kinetic-gravity-braiding models can cross w = -1 with stable perturbations and remain broadly consistent with current data, so phantom crossing does not uniquely favor conformal coupling.