The torus-surgery conjecture for simply connected smooth 4-manifolds

Let $X$ and $Y$ be homeomorphic simply connected smooth $4$-manifolds. A torus surgery is a surgery on an embedded torus with square $0$.

Torus-surgery conjecture. $X$ and $Y$ are related via a sequence of surgeries on tori of square $0$.

This conjecture proposes that torus surgeries account for the differences between homeomorphic simply connected smooth $4$-manifolds. The source does not provide a resolution, so its status remains open.