It is then easy to derive the well-known Lorentz transformation equations, those equations which allow us to convert between events measured in one frame to those measured in the other. Two observers in different frames may not measure the same events at the same place or time, but they must agree on all of the laws of physics regarding those events in order for the principle of relativity to h...

The screened quasi-relativistic potential is used for describing spin-orbit splitting in PJ waves of quark-antiquark system. Fermi-Breit equation is solved numerically in configuration interaction approximation. This approximation takes into account the mixing of wave functions up to fifth order and corrects substantially perturbation calculations. The nature of potentials Lorentz transformatio...

Lorentz transformations between inertial observers, along with Einstein's theory of special relativity, remedied discrepancies Newtonian physics and Maxwell's electromagnetism caused by the use same time in all frames. In view fundamental importance relativity there have been several papers deriving generalized without using light. Proving that general are linear space can be done ways, most co...

Some solutions to the anomalies of ultra high energy cosmic-ray(UHECR) and TeV γ-rays require disturbed non-quadratic dispersion relations, which suggest the Lorentz violation. Also, some new theories such as quantum gravity, string theory and the standard model extension imply the Lorentz violation. In this paper, we derive some transformation laws for the classical parameters of nonlinear fie...

We present a classification, up to isomorphisms, of all the homogeneous spaces of the Lorentz group with dimension lower than six. At the same time, we classify, up to conjugation, all the non-discrete closed subgroup of the Lorentz group and all the subalgebras of the Lorentz Lie algebra. We also study the covariant mappings between some pairs of homogeneous spaces. This exercise is done witho...