Lorentz transformation

The Lorentz transformations is a set of equations that describe a linear transformation between a stationary reference frame and a reference frame in constant velocity. The equations are given by:

 ,
 ,
 ,

where represents the new x co-ordinate,  represents the velocity of the other reference frame,  representing time, and  the speed of light.

On a Cartesian coordinate system, with the vertical axis being time (t), the horizontal axis being position in space along one axis (x), the gradients represent velocity (shallower gradient resulting in a greater velocity). If the speed of light is set as a 45° or 1:1 gradient, Lorentz transformations can rotate and squeeze other gradients while keeping certain gradients, like a 1:1 gradient constant. Points undergoing a Lorentz transformations on such a plane will be transformed along lines corresponding to  where n is some number

Category:Equations of physics
Category:Relativity
Category:Functions and mappings
Category:Time