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advanced_tools:group_theory:kinematical_groups [2018/10/11 12:01] (current)
jakobadmin created
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 +====== Kinematical Groups ======
 +
 +<tabbox Intuitive> ​
 +
 +<note tip>
 +Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
 +</​note>​
 +  ​
 +<tabbox Concrete> ​
 +
 +  * For a nice introduction,​ see Section 3.4.5 "​Kinematical groups and their mutual contractions"​ in the book Symmetries in Fundamental Physics by Sundermeier.
 +  * See also Section 4 in [[https://​projecteuclid.org/​euclid.bams/​1183533964|Missed opportunities]] by Freeman J. Dyson
 + 
 +<tabbox Abstract> ​
 +
 +<note tip>
 +The motto in this section is: //the higher the level of abstraction,​ the better//.
 +</​note>​
 +
 +<tabbox Why is it interesting?> ​  
 +
 +A proper understanding of possible kinematical groups helps us to understand why spacetime symmetry groups are possible. ​
 +
 +<​blockquote>​Suppose that somebody had been bold enough in 1908 to take [the kinematical groups] seriously. He would have correctly predicted the expansion of the
 +universe twenty years before it was discovered observationally by Hubble.
 +More importantly,​ he would have been led to postulate the curvature of
 +space-time, and so he would have considerably eased the path which led
 +to general relativity. <​cite>​[[https://​projecteuclid.org/​euclid.bams/​1183533964|Missed opportunities]] by Freeman J. Dyson</​cite></​blockquote>​
 +
 +/​*<​tabbox FAQ>​*/ ​
 +
 +/​*<​tabbox History>​*/ ​
 +
 +</​tabbox>​
 +
  
advanced_tools/group_theory/kinematical_groups.txt ยท Last modified: 2018/10/11 12:01 by jakobadmin