Editing Minkowski-Metrik
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Latest revision | Your text | ||
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== Pseudometrischer Raum == | == Pseudometrischer Raum == | ||
Abbildung | Abbildung | ||
<math>g:X\times X\to \mathbb{R}</math> | |||
# <math>g\left( x,x \right)=0</math> | # <math>g\left( x,x \right)=0</math> | ||
# Symmetrie: (<math>g\left( x,y \right)=g\left( y,x \right)</math>) | # Symmetrie: (<math>g\left( x,y \right)=g\left( y,x \right)</math>) | ||
Line 11: | Line 11: | ||
in der SRT: | in der SRT: | ||
<math>\eta_{\mu\nu} = \operatorname{diag}(-1,1,1,1)</math> | |||
aber nur pseudometrisch, da das induzierte Skalarprodukt z.B. für | aber nur pseudometrisch, da das induzierte Skalarprodukt z.B. für | ||
<math>{{x}^{\mu }}=-{{x}^{\nu }}=\left( \begin{matrix} | |||
1 & 1 & 0 & 0 \\ | 1 & 1 & 0 & 0 \\ | ||
\end{matrix} \right)</math> | \end{matrix} \right)</math> | ||
<math>{{\eta }_{\mu \nu }}{{x}^{\mu }}{{x}^{\nu }}=0</math> | |||
wird. | wird. | ||
[[Kategorie:SRT]] | [[Kategorie:SRT]] |