Fundamental symmetries foundational to physics superspace

Rowlands P.

Department of Physics, University of Liverpool, Oliver Lodge Laboratory, Liverpool, UK

E-mail: Rowlands p.rowlands@liverpool.ac.uk

Symmetry is everywhere in Nature and has a particularly significant role in physics at the most fundamental level. Here, we propose that the origin of all the fundamental symmetries is in a Klein-4 group structure that connects the fundamental parameters mass, time, charge and space. The algebras associated with these parameters emerge in a sequence which first generates real numbers, then complex numbers, quaternions and multivariate vectors. The combined algebra has a special significance in being identical to that of the Dirac equation of relativistic quantum mechanics. This is the equation that applies to the point-like fermion, the most fundamental physical state. Many other symmetries and the fundamental symmetry-breaking that occurs between the four physical interactions can be seen to emerge from this foundational symmetric structure.

Keywords: symmetry, zero totality, Klein-4 group, nilpotent quantum mechanics, vacuum space.

DOI: 10.18698/2309-7604-2015-1-422-438

Article file: Rowlands.pdf