The non-archimedean Calabi–Yau metric convergence conjecture

Let $X\to \mathbb{D}^*_t$ be a polarised meromorphic degeneration of $n$-dimensional Calabi–Yau manifolds, with relatively ample line bundle $L$, and let $X_K^{an}$ be the associated Berkovich analytification for $K=\mathbb{C}((t))$. Write $Sk(X)$ for the essential skeleton, of dimension $m\geq 1$, and let $h_{CY,t}$ and $\lVert\cdot\rVert_{CY,0}$ denote respectively the fibrewise Hermitian Calabi–Yau metric and the semipositive non-archimedean Calabi–Yau metric on $L$. Non-archimedean Calabi–Yau metric convergence conjecture. After suitable normalisation, the norm function $|\cdot|_{h_{CY,t}}^{\frac{1}{|\log |t||}}$ on $L\to X_t$ converges in the $C^0$-hybrid topology to $\lVert\cdot\rVert_{CY,0}$ on $L\to X_K^{an}$ as $t\to 0$. This conjectural convergence would identify the collapsing complex Calabi–Yau metrics with their non-archimedean pluripotential-theoretic limit; the source presents it as a general expectation, and gives no resolution.