Orthochronous Lorentz transformation

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created: 2022-02-22 18:18:14
modified: 2022-03-01 18:57:48

Let be a Minkowski spacetime and the matrix of a Lorentz transformation on it.

If

the transformation preserves the direction of time and is called orthochronous.1

These transformations are usually denoted:

Where is the set of Lorentz transformations.

Orthochronous transformations preserve causality!

See also


  1. The definition may differ in other conventions (e.g. when the time component is the first one).