Boosts in an arbitrary direction and maximal causal velocities in a deformed Minkowski space

Details Boosts in an arbitrary direction and maximal causal velocities in a deformed Minkowski space Boosts in an arbitrary direction and maximal causal velocities in a deformed Minkowski space

2005-05-04

arxiv.org/abs/hep-th/0505032v1

Found.Phys.Lett. 16 (2003) 163

Physics

High Energy Physics

High Energy Physics - Theory

24 pages. Slightly improved version with respect to the published one (some misprints corrected, Ref.s added, Eq.s revised, co

Scientific paper

We discuss boosts in a deformed Minkowski space, i.e. a four-dimensional space-time with metric coefficients depending on non-metric 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 3-vector 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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