  A Gordian unlink is a finite number of not topologically linked unknots with
prescribed length and thickness that cannot be disentangled to the trivial link
by an isotopy preserving length and thickness throughout.
  In this note we provide the firsts examples of Gordian unlinks. As a
consequence, we detect the existence of isotopy classes unknots different from
those in classical knot theory. More generally, we present a one-parameter
family of Gordian unlinks with thickness ranging in $[1, 2)$ to conclude that
thinner normal tubes lead to different rope geometry from the ones so far
considered. Knots or links in the one-parameter model here introduced are
called thin knots or links, and when thickness is equal to 2 we obtain the
standard model considered for geometric knots also called thick knots.
