Lorentz transformation | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-08

This is an audio version of the Wikipedia Article:
Lorentz transformation


00:04:35 1 History
00:06:52 2 Derivation of the group of Lorentz transformations
00:07:35 3 Generalities
00:09:54 4 Physical formulation of Lorentz boosts
00:11:59 4.1 Coordinate transformation
00:12:10 4.2 Physical implications
00:12:53 4.3 Vector transformations
00:13:08 4.4 Transformation of velocities
00:17:21 4.5 Transformation of other quantities
00:19:55 5 Mathematical formulation
00:22:14 5.1 Homogeneous Lorentz group
00:22:29 5.2 Proper transformations
00:22:51 5.2.1 The Lie group SOsup+/sup(3,1)
00:24:00 5.2.2 The Lie algebra so(3,1)
00:24:22 5.3 Improper transformations
00:24:59 5.4 Inhomogeneous Lorentz group
00:25:43 6 Tensor formulation
00:27:45 6.1 Contravariant vectors
00:29:54 6.2 Covariant vectors
00:33:02 6.3 Tensors
00:33:14 6.3.1 Transformation of the electromagnetic field
00:36:48 6.4 Spinors
00:37:14 6.4.1 Transformation of general fields
00:37:36 7 See also
00:37:50 8 Footnotes
00:38:01 9 Notes
00:38:12 10 References
00:45:50 10.1 Websites
00:49:13 10.2 Papers
00:53:04 10.3 Books
00:53:29 11 Further reading
00:53:41 12 External links
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SUMMARY
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In physics, the Lorentz transformations are a one-parameter family of linear transformations from a coordinate frame in space time to another frame that moves at a constant velocity, the parameter, within the former. The transformations are named after the Dutch physicist Hendrik Lorentz. The respective inverse transformation is then parametrized by the negative of this velocity.
The most common form of the transformation, parametrized by the real constant 
  
    
      
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    {\displaystyle v,}
   representing a velocity confined to the x-direction, is expressed as

  
    
      
        
          
            
              
                
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    {\displaystyle {\begin{aligned}t'&=\gamma \left(t-{\frac {vx}{c^{2}}}\right)\\x'&=\gamma \left(x-vt\right)\\y'&=y\\z'&=z\end{aligned}}}
  where (t, x, y, z) and (t′, x′, y′, z′) are the coordinates of an ev ...