Comparison conjecture for the weight and stable rank filtrations

Let $\mathbb{F}$ be a field, let $K_j(\mathbb{F})$ be its higher algebraic $K$-groups, let $F^wK_j(\mathbb{F})$ be the weight filtration, and let $F_rK_j(\mathbb{F})$ be the stable rank filtration. Write $A_{\mathbb{Q}}=A\otimes_{\mathbb{Z}}\mathbb{Q}$.

Weight–stable-rank comparison conjecture.

$$F^w K_j(\mathbb{F})_{\mathbb{Q}}=F_r K_j(\mathbb{F})_{\mathbb{Q}}$$

for $w+r=j+1$.

This conjecture would identify the two rational filtrations along complementary indices and is part of the proposed relationship between motivic and stable-rank spectral sequences.