4 problems

$K_n(7,7,7,7)$ nonreduction conjecture. No environment of this type will fully reduce all of the configurations $K_n(7,7,7,7)$.

Complexified-knot persistence conjecture. The phenomenon observed in the examples is qualitatively the same in any force-field environment for knot repulsion.

Hard-unknot force-field conjecture. Some unknots of the form $[(n+1).n]$ will not be able to evolve to simple circles in any force field of this kind.

Hard-unknot conjecture. Any algorithm based only on self-repulsion will be unable to unknot $U_n$ for some natural-number value of $n$. More generally, sufficiently complex unknots…