Proton-Neutron Structure, Renormalisation, and the 24-cell


Abstract

By graphing the gluons and quarks according to the DGO Standard Model, we arrive at a natural configuration for the proton and neutron. This configuration, it turns out, is the geometric inverse of the current understanding of the structure of the baryons. An explanation for why this might be so is sought after. It is disconcertingly concluded that the DGO model is somehow the inverse model of the conventional baryon model. However, there are other interesting observations to be made regarding extra dimensions. We look at the structural relationship between the nucleon and parts of the electron configuration of the Hydrogen atom, which gives us window into particle mass renormalisation and the energy of the Ground State. It also leads us to think of the nucleon as a single system, devoid of parts. And this, in turn, leads us to the doorstep of the 24-cell. There are a bunch of symmetries and connections to be drawn between the 24-cell and quaternions, GL(2,3) and musical frequencies, suggesting a very musical approach to understanding baryonic matter.



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