We prove that for various polarized varieties over Q​,
which broadly includes K-trivial case, K-ample case, Fano case, minimal models,
certain classes of fibrations, certain metrized ``minimal-like" models
minimizes the Arakelov theoretic analogue of the Mabuchi K-energy, as
conjectured in [Od15]. This is an Arakelov theoretic analogue of [H22b].Comment: 8 page