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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REFERENCES
F. Cardone and R. Mignani, “On a nonlocal relativistic kinematics,” INFN preprint No. 910 (Roma, November 1992); Grav. ℰ Cosm. 4, 311 (1998); Found. Phys. 29, 1735 (1999); Ann. Fond. L. de Broglie 25, 165 (2000).
F. Cardone, R. Mignani, and R. M. Santilli, J. Phys. G 18, L61, L141 (1992).
F. Cardone and R. Mignani, JETP 83, 435 [Zh. Eksp. Teor. Fiz. 110, 793] (1996). F. Cardone, M. Gaspero, and R. Mignani, Eur. Phys. J. C 4, 705 (1998).
F. Cardone and R. Mignani, Ann. Fond. L. de Broglie, 23, 173 (1998). F. Cardone, R. Mignani, and V.S. Olkhovski, J. Phys. I (France) 7, 1211 (1997); Mod. Phys. Lett. B 14, 109 (2000).
F. Cardone and R. Mignani, Int. J. Mod. Phys. A 14, 3799 (1999).
F. Cardone, M. Francaviglia, and R. Mignani, Gen. Rel. Grav. 30, 1619 (1998); 31, 1049 (1999); Found. Phys. Lett. 12, 281, 347 (1999).
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Cardone, F., Marrani, A. & Mignani, R. Boosts in an Arbitrary Direction and Maximal Causal Velocities in a Deformed Minkowski Space. Found Phys Lett 16, 163–181 (2003). https://doi.org/10.1023/A:1024122828265
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DOI: https://doi.org/10.1023/A:1024122828265