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15.7: Трансформація Лоренца як обертання
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\[ \begin{pmatrix}x_{1}'\\x_{2}'\\x_{3}'\\x_{0}'\end{pmatrix}=\begin{pmatrix}\gamma & 0 & 0 & \beta\gamma \\ 0 & 1 & 0 & 0\\0 & 0 & 1 & 0\\\beta\gamma & 0 & 0 & \gamma \end{pmatrix}\begin{pmatrix}x_{1... $\begin{pmatrix}x_{1}'\\x_{2}'\\x_{3}'\\x_{0}'\end{pmatrix}=\begin{pmatrix}\gamma & 0 & 0 & \beta\gamma \\ 0 & 1 & 0 & 0\\0 & 0 & 1 & 0\\\beta\gamma & 0 & 0 & \gamma \end{pmatrix}\begin{pmatrix}x_{1}\\x_{2}\\x_{3}\\x_{0}\end{pmatrix}, \label{15.7.3}$