Difference between revisions of "Forest Relativity Notes"

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:<math>x^2\equiv y</math>
 
:<math>x^2\equiv y</math>
 
:<math>x^3\equiv z</math>
 
:<math>x^3\equiv z</math>
: <math>\Lambda </math>
+
: <math>\Lambda = \left [ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} \right ]</math>
:<math> \left [ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} \right ]</math>
 

Revision as of 16:21, 30 October 2007

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]
[math]\Lambda = \left [ \begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix} \right ][/math]