We show a complete classification of faithful representations the 2 + 1 space-times Galilean Lie algebra on polynomial ring in three variables, where actions are given by derivations with coefficients degree at most one. In particular, all such explicitly constructed and classified one parameter. more general setting we that, respect to nonzero abelian ideal finite-dimensional algebra, there is...

The Galilean constitutive equations for the electrodynamics of moving media are derived for the first time. They explain all the historic and modern experiments which were interpreted so far in a relativistic framework assuming the constant light celerity principle. Here, we show the latter to be sufficient but not necessary. Copyright c © EPLA, 2008 One century ago, Hermann Minkowski formulate...

A bstract In 2+1 dimensions, we propose a renormalizable non-linear sigma model action which describes the $$ \mathcal{N} N = 2 supersymmetric generalization of Galilean Electrodynamics. We first start with simplest obtained by null reduction relativistic Abelian 1 QED in 3+1 dimensions and study its renormal...

We argue that the account of Reference Frames quantum properties must change the standard space-time picture accepted in Quantum Mechanics. If RF is connected with some macroscopic solid object then its free quantum motion-wave packet smearing results in additional uncertainty into the measurement of test particle coordinate. It makes incorrect the use of Galilean or Lorentz space-time transfor...