2007/01/31 by Alex E. Bernardini, Roldão da Rocha, Roldao da Rocha · 15 citations
Mathematics · Physics and Astronomy · #Action (physics) #Bispinor #Black Holes and Theoretical Physics #CPT symmetry #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Dirac equation #Equations of motion #Lorentz covariance #Lorentz transformation #Mathematical analysis #Mathematical physics #Mathematics #Motion (physics) #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Transformation (genetics) #hep-th
paper · pdf · open access · doi:10.1209/0295-5075/81/40010
published in Europhysics Letters (EPL) 81(4), 40010 (Institute of Physics) · 10 pages
arxiv created 2007/11/29 · openalex publication_date 2008/01/28 · arxiv updated 2010/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using a generalized procedure for obtaining the dispersion relation and the equation of motion for a propagating fermionic particle, we examine previous claims for a preferred axis at n μ (≡(1, 0, 0, 1)), n 2 =0 embedded in the framework of very special relativity (VSR). We show that, in a relatively high energy scale, the corresponding equation of motion is reduced to a conserving lepton number chiral equation previously predicted in the literature. Otherwise, in a relatively low energy scale, the equation is reduced to the usual Dirac equation for a free propagating fermionic particle. It is accomplished by the suggestive analysis of some special cases where a nonlinear modification of the action of the Lorentz group is generated by the addition of a modified conformal transformation which, meanwhile, preserves the structure of the ordinary Lorentz algebra in a very peculiar way. Some feasible experiments, for which Lorentz-violating effects here pointed out may be detectable, are suggested.