advanced_tools:group_theory:lorentz_group
| Both sides previous revision Previous revision | Next revision Both sides next revision | ||
|
advanced_tools:group_theory:lorentz_group [2018/04/06 16:01] jakobadmin [Concrete] |
advanced_tools:group_theory:lorentz_group [2018/04/08 17:13] georgefarr ↷ 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 [[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: 2023/05/20 19:32 by edi
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
