Lorentz Covariant k-Minkowski Spacetime

Understand

In recent years, different views on the interpretation of Lorentz covariance of non commuting coordinates were discussed.

• Here, by a general procedure, we construct the minimal canonical central covariantisation of the k-Minkowski spacetime.
• We then show that, though the usual k-Minkowski spacetime is covariant under deformed (or twisted) Lorentz action, the resulting framework is equivalent to taking a non covariant restriction of the covariantised model.
• We conclude with some general comments on the approach of deformed covariance.