Majorana Neutrinos, Exceptional Jordan Algebra, and Mass Ratios for Charged Fermions
Abstract
We provide theoretical evidence that the neutrino is a Majorana fermion. This evidence comes from assuming that the standard model and beyondstandardmodel physics can be described through division algebras, coupled to a quantum dynamics. We use the division algebras scheme to derive mass ratios for the standard model charged fermions of three generations. The predicted ratios agree well with the observed values if the neutrino is assumed to be Majorana. However, the theoretically calculated ratios completely disagree with known values if the neutrino is taken to be a Dirac particle. Towards the end of the article we discuss prospects for unification of the standard model with gravitation if the assumed symmetry group of the theory is $E_6$, and if it is assumed that spacetime is an 8D octonionic spacetime, with 4D Minkowski spacetime being an emergent approximation. Remarkably, we find evidence that the precursor of classical gravitation, described by the symmetry $SU(3)_{grav} \times SU(2)_R \times U(1)_{grav}$ is the righthanded counterpart of the standard model $SU(3)_{color} \times SU(2)_L \times U(1)_Y$.
 Publication:

arXiv eprints
 Pub Date:
 August 2021
 arXiv:
 arXiv:2108.05787
 Bibcode:
 2021arXiv210805787B
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 v2. 39 pages, 2 figures, partly rewritten in response to reviewer recommendations so as to improve clarity, results unchanged, accepted for publication in Journal of Physics G: Nuclear and Particle Physics