Lorentz-Transformationen

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Poincaré Transformation

$x^{{\alpha }^{\prime }}={\mathrm{\Lambda }}_{\beta }^{\alpha }{x}^{\beta }+a^{\alpha }$

speziell

Bewegungsrichtung sei $x_1$

$x^{1^{\prime }}=\gamma (x^1+v^{1}t),x^{2^{\prime }}=x^2,x^{3^{\prime }}=x^3,c{t}^{\prime }=\gamma (ct+\beta x^1)$