Polarized affine cone conjecture for the Ricci-flow limit of Kähler–Ricci shrinkers

Let $X$ be a Kähler–Ricci shrinker with bounded scalar curvature. Let $Z_0$ be the metric boundary produced by the Ricci flow, equipped with the topology induced by $d^Z_0$, and let $\Phi:X\to Z_0$ be the associated surjective map. The shrinker has a polarized Fano fibration structure on $X$.

Polarized affine cone conjecture. The space $Z_0$, with the topology induced by $d^Z_0$, admits a polarized affine cone structure, and the map $\Phi$ realizes the polarized Fano fibration structure on $X$.

This conjecture seeks an algebraic and polarized interpretation of the metric boundary arising from the Ricci flow. The source formulates it as a further conjecture and provides no resolution status.