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 cannot determine theory unambiguously, some significant results can still be obtained by the assumption. Furthermore, the study shows that the relativity of simultaneity is not a universal concept.
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