The special relativity (SR) is proposed based on the Lorentz transformation (LT) which points out the relationship between space and time. However, the LT intuitively assumes that the different dimensions in space are independent, i.e., the motion of a body in x-direction doesn't affect its position change in y-direction. By considering the correlation between spatial dimensions, a novel and elegant space-time transformation is deduced based on the principle of constant speed of light. The new transformation not only indicates traditional relativistic effects, but also reveals a new one, called as transverse dilatation. More importantly, the transformation suggests that the full universe could be a four-dimensional complex space-time with extra mirror universe. Subsequently, several fundamental and challenging physics problems are reasonably explained, such as the nature of electromagnetic waves, the spooky quantum entanglement, the ghostly dark matter(DM) and the center of black hole.