The point-limit conjecture for collapsing Ricci-flat metrics on K3 surfaces

Let $X$ be a $K3$ surface and let $[\alpha]\in\partial\mathcal{C}_X$ be as in Setup I.B.2. Point-limit conjecture. The Ricci-flat manifolds $(X,\omega_t)$ converge to a point in the Gromov–Hausdorff topology. This predicts total metric collapse even when the limiting nef class is nontrivial. The expectation is motivated by dynamical examples in which suitably rescaled Ricci-flat metrics are isometric to shrinking copies of a fixed metric; the general statement remains open.