The RH energy-bound conjecture for isolated Gram points

Let $g_n$ be an isolated Gram point, and let $\gamma^{\mathrm{descend}}$ denote the descending curve in the two-dimensional deformation associated with the shifting and descending index sets. Let $\Delta_n(r;\gamma^{\mathrm{descend}})$ be the corresponding discriminant. RH energy-bound conjecture. For every isolated Gram point,

$$(-1)^n\Delta_n(r;\gamma^{\mathrm{descend}})>0$$

for all $0\leq r\leq1$. The source presents this as a key conjectural ingredient in preventing zero collisions during the descending stage and notes that it remains out of reach, partly because it relies on the conjectured G-B-G repulsion property.