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Lorentz transformation (view source)
Revision as of 15:55, September 9, 2016
, 15:55, September 9, 2016Added some mathematics
'''Lorentz transformations''' form the group of linear isometries of [[Minkowski space]].
'''Lorentz transformations''' form the group of linear isometries of [[Minkowski space]].
In [[physics]], a Lorentz transformation is the conversion of space and time between two different [[Inertial reference frame|inertial frames of reference]].
In [[physics]], a Lorentz transformation is the conversion of space and time between two different [[Inertial reference frame|inertial frames of reference]].
According to [[Einstein]] the principles of [[Special Relativity]] are mathematically expressed by Lorentz transformations owing to which it is possible to transform equations for mechanical and electromechanical phenomena between inertial systems.<ref>{{cite book
According to [[Einstein]] the principles of [[Special Relativity]] are mathematically expressed by Lorentz transformations owing to which it is possible to transform equations for mechanical and electromechanical phenomena between inertial systems.<ref>{{cite book
|pages=155
|pages=155
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|quote=
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The transformation from one coordinate system <math> (x, y, z, t) </math> to another system, <math> (x', y', z', t') </math>, moving past this one at speed u, and with <math>x </math> and <math> x' </math> axes colinear is:
<math> x' = \gamma (x -ut) </math><br/>
<math> y' = y </math><br/>
<math> z' = z</math><br/>
<math> t' = \gamma (t - \frac{ux}{c^2} ) </math>
where <math> \gamma </math> is the [[Lorentz factor]].
== See also ==
== See also ==
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