Miura's second-energy conjecture for the elastic propeller

For a tame knot class $K$, let $\mathcal{K}$ be the $W^{2,2}$-closure of the class of unit-length, arclength-parametrized closed curves in $K$:

$$\mathcal{K}:=\overline{\{\gamma\in W^{2,2}(\mathbf{R}/\mathbf{Z};\mathbf{R}^3)\mid |\gamma'|\equiv1,\ \gamma\in K\}}.$$

A stable elastic knot for $K$ is a curve $\gamma\in\mathcal{K}$ that locally minimizes the bending energy $B$ on a connected component of the knot class, and it is strictly stable if the minimum is strict up to isometry. Elastic propeller conjecture. The elastic propeller is a strictly stable elastic knot for the unknot class. Moreover, among all stable elastic knots for the unknot class, it has the second smallest energy. The circle is the least-energy stable elastic unknot, so the conjecture identifies the elastic propeller as the next energy level. The source attributes this conjecture to Miura; its resolution is not specified.