Space-Time

Lorentz transformation

\begin{matrix} (1) & \begin{aligned} x^{'} & = \frac{x - u t / c^{2}}{\sqrt{1 - u^{2} / c^{2}}} \\ t^{'} & = \frac{t - u x / c^{2}}{\sqrt{1 - u^{2} / c^{2}}} \\ y^{'} & = y \\ z^{'} & = z \end{aligned} \end{matrix}

\begin{matrix} (2) & \begin{aligned} x^{'} & = x \cos (θ) + y \sin (θ) \\ y^{'} & = y \cos (θ) - x \sin (θ) \\ z^{'} & = z \\ t^{'} & = t \end{aligned} \end{matrix}

Equation $(1)$ is beautiful. So is equation $(2)$ .

Nov 28, 1961

physics ddd