Classical kinematics and Finsler structures for nonminimal Lorentz-violating fermions

In the current paper the Lagrangian of a classical, relativistic point particle is obtained whose conjugate momentum satisfies the dispersion relation of a quantum wave packet that is subject to Lorentz violation based on a particular coefficient of the nonminimal Standard-Model Extension (SME). The properties of this Lagrangian are analyzed and two corresponding Finsler structures are obtained. One structure describes a scaled Euclidean geometry, whereas the other is neither a Riemann nor a Randers or Kropina structure. The results of the article provide some initial understanding of classical Lagrangians of the nonminimal SME fermion sector.Comment: 26 pages, 5 figure

Obtaining bounds from ultra-high energy cosmic rays in isotropic modified Maxwell theory

This article reviews the methods used to obtain a two-sided bound on isotropic modified Maxwell theory from experimental data of ultra high-energy cosmic rays in 2008. The bound is updated with results from the HEGRA experiment.Comment: 4 pages, presented at the Sixth Meeting on CPT and Lorentz symmetry; June 17 - 21, 2013; Bloomington, Indiana (USA