Murakami–Murakami simplicial-volume conjecture for links

Let $L$ be a link, and let $J'_{\vec N}(L;t)$ denote the normalized colored Jones polynomial with color vector $\vec N=(N,\dots,N)$. Then

Murakami–Murakami simplicial-volume conjecture.

$$\lim_{N\to\infty}\frac{2\pi}{N}\log\left|J'_{\vec N}\left(L;e^{\frac{2\pi i}{N}}\right)\right|=v_3\left\|\mathbb S^3\setminus L\right\|.$$

Here $\left\|\mathbb S^3\setminus L\right\|$ is the simplicial volume of the link complement and $v_3$ is the volume of an ideal regular tetrahedron. The conjecture extends the hyperbolic-knot volume conjecture to arbitrary links; the source gives no resolution.