Abstract

Symmetry: Culture and Science
Volume 29, Number 4, pages 507-518 (2018)
https://doi.org/10.26830/symmetry_2018_4_507

THE FUNDAMENTAL SYMMETRIES BEHIND NOETHER’S FIRST THEOREM

Peter Rowlands

Department of Physics, University of Liverpool, Oliver Lodge Laboratory, Oxford St, Liverpool, L69 7ZE, UK.
E-mail: p.rowlands@liverpool.ac.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