  The properties of a stationary massless string endowed with intrinsic spin
are discussed. The spacetime is Minkowskian geometrically but the topology is
nontrivial due to the horizon located on the surface $r=0$, similar with
Rindler's case. For $r$ less than the Planck length $b$, $g_{\phi\phi}$ has the
same sign as $g_{tt}$ and closed timelike curves are possible.
  We assume an elementary particles' spin originates in the frame dragging
effect produced by the rotation of the source. The Sagnac time delay is
calculated and proves to be constant.
