> In the Freedman-He-Wang paper* this theorem is on p. 26:
>
> -----
> THEOREM 4.3. Let K be an irreducible knot. There exists a simple loop
>
> g_K: S^1 -> R^3
>
> with knot-type K such that E(g_K) < E(g) for any other simple loop
>
> g: S^1 -> R^3
>
> of the same knot type.
> -----
>
> --Dan
> ____________________________________________________
> * "Mobius Energy of Knots", Michael H. Freedman, Zheng-Xu He and Zhenghan
> Wang, Annals of Mathematics, Second Series, Vol. 139, No. 1 (Jan., 1994),
> pp. 1-50.
--also it is claimed the g_K energy-minimizing embedding will be
"nice" meaning C[1,1]
continuity class.