| Lorentz Invariant |
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Information AboutLorentz Invariant |
| CATEGORIES ABOUT LORENTZ COVARIANCE | |
| special relativity | |
| symmetry | |
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According to the representation theory of the Lorentz group, Lorentz covariant quantities are built out of Scalar s, Four-vector s, Four-tensor s, and Spinor s. The Space-time Interval is a Lorentz-invariant quantity, as is the Minkowski Norm of any four-vector. Equations which are true in any Inertial Reference Frame are also said to be Lorentz covariant (some use the term invariant here). Lorentz covariant equations can always be written in terms Lorentz covariant quantities. According to the Principle Of Relativity all fundamental equations of physics must be Lorentz covariant. ''Note'': this usage of the term ''covariant'' should not be confused with the related concept of a '' Covariant Vector ''. On Manifold s, the words '' Covariant '' and '' Contravariant '' refer to how objects transform under general coordinate transformations. Confusingly, both Covariant and Contravariant four-vectors can be Lorentz covariant quantities. LOCAL LORENTZ COVARIANCE Local Lorentz covariance refers to Lorentz covariance applying only ''locally''. This concept is useful in General Relativity . LORENTZ VIOLATION Lorentz violation refers to theories which are approximately Relativistic when it comes to experiments that have actually been performed (and there are quite a number of such experimental tests) but yet contain tiny or hidden Lorentz violating corrections. Such models typically fall into two classes:
Constraints ''There are very strict and severe constraints on'' Marginal and Relevant Lorentz ''violating'' operators within both QED and the Standard Model . Irrelevant Lorentz ''violating'' operators ''may be suppressed'' by a high Cutoff scale, but they typically induce marginal and relevant Lorentz violating operators via Radiative Correction s. So, ''we also have very strict and severe constraints on'' irrelevant Lorentz ''violating'' operators. SEE ALSO
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