Difference between revisions of "Minkowski space"
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(New page: Minkowski space is 4-dimensional Euclidean space (i.e., the set of points <math>(x,y,z,t)</math>) together with the metric: <math> c^2dt^2-dx^2-dy^2-dz^2 </math> A vector ''v'' in Minko...) |
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| − | Minkowski space is 4-dimensional Euclidean space (i.e., the set of points <math>(x,y,z,t)</math>) together with the metric: | + | '''Minkowski space''' is 4-dimensional [[Euclidean space]] (i.e., the set of points <math>(x,y,z,t)</math>) together with the [[metric]]: |
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| − | A vector ''v'' in Minkowski space is said to be time-like if <math>||v||^2 > 0</math>, light-like if <math>||v||^2 = 0</math> and space-like if <math>||v||^2 < 0</math>. The isometries of Minkowski space are the [[Lorentz transformation]]s. | + | A [[vector]] ''v'' in Minkowski space is said to be [[time]]-like if <math>||v||^2 > 0</math>, [[light]]-like if <math>||v||^2 = 0</math> and [[space]]-like if <math>||v||^2 < 0</math>. The [[isometry|isometries]] of Minkowski space are the [[Lorentz transformation]]s. |
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| + | [[Category:Mathematics]] | ||
Revision as of 21:56, August 7, 2008
Minkowski space is 4-dimensional Euclidean space (i.e., the set of points <math>(x,y,z,t)</math>) together with the metric:
<math> c^2dt^2-dx^2-dy^2-dz^2 </math>
A vector v in Minkowski space is said to be time-like if <math>||v||^2 > 0</math>, light-like if <math>||v||^2 = 0</math> and space-like if <math>||v||^2 < 0</math>. The isometries of Minkowski space are the Lorentz transformations.