Boosts in an Arbitrary Direction and Maximal Causal Velocities in a Deformed Minkowski Space |
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Authors: | Fabio Cardone Alessio Marrani Roberto Mignani |
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Affiliation: | (1) Dipartimento di Fisica, Università dell'Aquila, Via Vetoio, 67010 Coppito, L'Aquila, Italy;(2) I.N.D.A.M.-G.N.F.M, Italy;(3) Dipartimento di Fisica E. Amaldi, Università degli Studi Roma Tre, Italy;(4) I.N.F.N-Sezione di Roma III, Via della Vasca Navale, 84, I-00146 Roma, Italy |
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Abstract: | We discuss boosts in a deformed Minkowski space, i.e., a four-dimensional spacetime with metric coefficients depending on nonmetric coordinates (in particular on the energy). The general form of a boost in an arbitrary direction is derived in the case of space anisotropy. Two maximal trivector velocities are mathematically possible, an isotropic and an anisotropic one. However, only the anisotropic velocity has physical meaning, being invariant indeed under deformed boosts. |
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Keywords: | relativity deformed Minkowski space general deformed boost maximal causal velocity |
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