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advanced_tools:group_theory:lorentz_group

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advanced_tools:group_theory:lorentz_group [2018/04/08 17:13]
georgefarr ↷ Links adapted because of a move operation
advanced_tools:group_theory:lorentz_group [2018/05/04 09:53]
jakobadmin ↷ Links adapted because of a move operation
Line 11: Line 11:
 **Definition of the Lorentz transformations** **Definition of the Lorentz transformations**
  
-It follows from the postulates of [[models:​special_relativity|special relativity]] that+It follows from the postulates of [[theories:​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: 2023/05/20 19:32 by edi