The Lorentz transformations are a group of equations that yield the geometry of special relativity. They are the basis of Einstein's special theory of relativity formulated in 1905. The Lorentz transformations are a form of the Galilean transformations that can be obtained by substituting an infinitely large value for the velocity of light in the Lorentz transformations. The main objective in formulating the equations that comprise the Lorentz transformations was to preserve the velocity of light and hence the invariance of the space-time interval under all reference frames. Using these transformations it is possible to correlate the space-time coordinates of one moving system with the space-time coordinates of any other system.

The Lorentz transformations are a general group of equations that comprise a four-dimensional transformation, a transformation that involves the three-dimensions of space and time as the fourth dimension, that is satisfied by all four-vectors, a four-element...