  The Mashhoon rotation-spin coupling is studied by means of the parallelism
description of general relativity. The relativistic rotational tetrad is
exploited, which results in the Minkowski metric, and the torsion axial-vector
and Dirac spin coupling will give the Mashhoon rotation-spin term. For the high
speed rotating cases, the tangent velocity constructed by the angular velocity
$\Ome$ multiplying the distance r may exceed over the speed of light c, i.e.,
$\Ome r \ge c$, which will make the relativistic factor $\gamma$ infinity or
imaginary. In order to avoid this "meaningless" difficulty occurred in $\gamma$
factor, we choose to make the rotation nonuniform and position-dependent in a
particular way, and then we find that the new rotation-spin coupling energy
expression is consistent with the previous results in the low speed limit.
