Forest Relativity Notes

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Lorentz Transformations

[math]x^{\mu^{\prime}} = \sum_{\nu=0}^3 \Lambda_{\nu}^{\mu} x^{\nu}[/math]

where

[math] x^0 \equiv ct[/math]
[math]x^1 \equiv x[/math]
[math]x^2\equiv y[/math]
[math]x^3\equiv z[/math]
\Lambda = \left [ \begin{array}{c} 1 & 2 \\ 3 & 4 \right ]