Topological Bounds from Label Translation Symmetry of Non-Barotropic MHD

The theorem of Noether dictates that for every continuous symmetry group of an Action the system must possess a conservation law. In this paper we discuss some subgroups of Arnold's labelling symmetry diffeomorphism related to non-barotropic magnetohydrodynamics (MHD) and the conservations laws associated with them. Furthermore, we will study the dynamical bounds resulting from the topological Noether currents associated with label translation symmetry groups.