Reversibility of whole-plane SLE for \(\kappa > 8\)

Whole-plane Schramm-Loewner evolution (SLE \(_\kappa \) $_{\kappa }^{}$ ) is a random fractal curve between two points on the Riemann sphere. Zhan established for \(\kappa \le 4\) $\kappa \le 4$ that whole-plane SLE \(_\kappa \) $_{\kappa }^{}$ is reversible, meaning invariant in law under conformal automorphisms swapping its endpoints. Miller and Sheffield extended this to \(\kappa \le 8\) $\kappa \le 8$ . We prove whole-plane SLE \(_\kappa \) $_{\kappa }^{}$ is reversible for \(\kappa > 8\) $\kappa >8$ , resolving the final case and answering a conjecture of Viklund and Wang. Our argument depends on a novel mating-of-trees theorem of independent interest, where Liouville quantum gravity on the disk is decorated by an independent radial space-filling SLE curve.