Minkowski space

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.

External Links

• The Geometry of Special Relativity: The Minkowski Space - Time Light Cone