Minkowski space

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Minkowski space is 4-dimensional Euclidean space (i.e., the set of points (x,y,z,t)) together with the metric:

c²dt² − dx² − dy² − dz²

A vector v in Minkowski space is said to be time-like if | | v | | ² > 0, light-like if | | v | | ² = 0 and space-like if | | v | | ² < 0. The isometries of Minkowski space are the Lorentz transformations.

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