Lorentz transformation
= Lorentz transformation
{c}
{title2=$\Lambda$}
{wiki}
A Lorentz transformation preserves the <Minkowski metric>. A boost of speed $u$ along the $x$-axis uses $\beta=u/c$ and
$$
ct'=\gamma(ct-\beta x),\qquad
x'=\gamma(x-\beta ct).
$$