Cherednik's stabilization conjecture for DAHA superpolynomials

Let $\mathcal{P}_{n,m}^{\lambda,N}(q,t)$ be the DAHA superpolynomial associated with a partition $\lambda$ in rank $N$. Cherednik's stabilization conjecture. There exists a polynomial $\mathcal{P}_{n,m}^{\lambda}(u,q,t)$ such that

$$\mathcal{P}_{n,m}^{\lambda,N}(q,t)=\mathcal{P}_{n,m}^{\lambda}(u=t^N,q,t).$$

This conjecture concerns stabilization as the rank varies and is part of the DAHA construction of refined torus-knot invariants; the source presents it as one of Cherednik's conjectures.