advanced_tools:group_theory:lorentz_group

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advanced_tools:group_theory:lorentz_group [2018/05/04 07:53] jakobadmin ↷ Links adapted because of a move operation |
advanced_tools:group_theory:lorentz_group [2018/12/19 10:01] (current) jakobadmin ↷ Links adapted because of a move operation |
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**Definition of the Lorentz transformations** | **Definition of the Lorentz transformations** | ||

- | It follows from the postulates of [[theories:special_relativity|special relativity]] that | + | It follows from the postulates of [[models:special_relativity|special relativity]] that |

$d s^2 = \eta^{\mu \nu} dx_\mu dx_\nu$ stays exactly the same in all inertial frames of reference: | $d s^2 = \eta^{\mu \nu} dx_\mu dx_\nu$ stays exactly the same in all inertial frames of reference: | ||

\begin{equation} ds'^2 = dx'_\mu dx'_\nu \eta^{\mu\nu} = ds^2 = dx_\mu dx_\nu \eta^{\mu\nu} \, ,\end{equation} | \begin{equation} ds'^2 = dx'_\mu dx'_\nu \eta^{\mu\nu} = ds^2 = dx_\mu dx_\nu \eta^{\mu\nu} \, ,\end{equation} |

advanced_tools/group_theory/lorentz_group.txt · Last modified: 2018/12/19 10:01 by jakobadmin

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