  Under the assumption of closed-path velocity of light invariant, we show both
the general expression of velocity of light in an ordinary inertial reference
frame and the generalized Lorentz transformation between the ordinary inertial
reference frame and the absolute (privileged) reference frame. Although such
assumption can not determine theory ambiguously, some significant results can
still be obtained by the assumption. Furthermore, the study shows that the
relativity of simultaneity is not a universal concept.
