Relativistische Raum-Zeit-Koordinaten-Transformation (Lorentz-Transformation)

$$\displaystyle \begin{array}{lll} x' &=& \frac{x-ut}{\sqrt{1-u^2}} \\ y' &=& y \\ z' &=& z \\ t' &=& \frac{t-ux}{\sqrt{1-u^2}} \\ & &\\ x,y,z,t &=& \text{fixed coordinates} \\ x',y',z',t' &=& \text{moving platform coordinates} \\ u &=& \text{normalized velocity, v/c} \end{array}$$