From Unified Field Theory to the Standard Model and Beyond

Abstract

One hundred years ago this year attempts began to generalise general relativity with the ambition of incorporating electromagnetism alongside gravitation in a unified field theory. These developments led to gauge theories and models with extra spatial dimensions that have greatly influenced the modern-day pursuit of a unification scheme incorporating the Standard Model of particle physics, again ideally together with gravity. In this paper we motivate a further natural generalisation from extra spatial dimensions at an elementary level which is found to much more directly accommodate distinctive features of the Standard Model. We also investigate the potential to uncover new physical phenomena, making a case in the neutrino sector for one left-handed neutrino state to be massless, and emphasise the opportunity for a close collaboration between theory and experiment. The new theory possesses a very simple interpretation regarding the underlying source of these empirical structures.