Lorentz-transformation: Forskelle mellem versioner
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\end{bmatrix}.
</math>
Den første matrixformulering har den fordel at den nemt ses at reducere til [[Galilei-transformationen]] i grænsen <math> v/c \to 0</math>.
Disse ligninger gælder kun hvis <math>v</math> er rettet langs x-aksen af <math>S</math>. I
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Another limiting factor of the above transformation is that the "position" of the origins must coincide at 0. What this means is that <math>(0, 0, 0, 0)</math> in frame <math>S</math> must be the same as <math>(0, 0, 0, 0)</math> in <math>S'</math>. A generalization of Lorentz transformations that relaxes this restriction is the [[Poincaré group|Poincaré transformation]]s.
More generally, If
:<math>g=
\begin{bmatrix}
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0&0&0&-1
\end{bmatrix}</math>
and X is the [[Four-vector|4-vector]] describing [[spacetime]] [[displacement]]s, <math>X\rightarrow \Lambda X</math> is the most general Lorentz transformation. Such defined matrices
Under the [[Erlangen program]], [[Minkowski space]] can be viewed as the [[geometry]] defined by the [[Poincaré group]], which combines Lorentz transformations with translations.
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