Lorentz transformation

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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

${\displaystyle x'={\frac {x-vt}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}}$ , ${\displaystyle y'=y}$ , ${\displaystyle z'=z}$ , ${\displaystyle t'={\frac {t-{\frac {vx}{c^{2}}}}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}}$