THE FUNDAMENTAL SYMMETRIES BEHIND NOETHER’S FIRST THEOREM
Department of Physics, University of Liverpool, Oliver Lodge Laboratory, Oxford St, Liverpool, L69 7ZE, UK.
Abstract: One of the most significant consequences of Noether’s first theorem is its definition of charge conservation in terms of differentiable symmetries involved in a system’s action. This is seen here as a consequence of a more fundamental symmetry between the fundamental parameters mass, time, charge and space. This leads to an understanding of symmetry-breaking in the Standard Model of particle physics, and also of possible particle structures.
Keywords: Noether’s first theorem, charge conservation, Klein-4 parameter group, Standard Model, Dirac algebra.
PACS 2010: 02.10.De; 02.20.Hj; 11.30.-j; 11.30.Er; 11.30.Fs