Difference between revisions of "Minkowski space"
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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 [[isometry|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]] | [[Category:Mathematics]] | ||
| + | [[Category:Relativity]] | ||
==External Links== | ==External Links== | ||
*[http://www.relativitycalculator.com/Minkowski_special_relativity_geometry.shtml The Geometry of Special Relativity: The Minkowski Space - Time Light Cone ] | *[http://www.relativitycalculator.com/Minkowski_special_relativity_geometry.shtml The Geometry of Special Relativity: The Minkowski Space - Time Light Cone ] | ||
Revision as of 02:12, December 2, 2009
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.