Covariant Compactification: progress towards a TOE(F) – Part 3

This is the third instalment of a series of videos explaining the theory I’ve been building up over 20 years.

This one explains how spinors can arise as harmonics on a higher-dimensional spacetime, with all the right quantum numbers for quarks and leptons. At any moment in cosmic time, space is a product of a compact three-dimensional space and a compact six-dimensional space. Rotations on these subspaces induce unitary transformations of the spinor components. There is a non-interacting right-handed neutrino, which is invariant under precisely the standard model gauge group of weak isospin, weak hypercharge and colour SU(3). Other leptons and quarks are seen as perturbations from this state.

Many of the basic principles – such as diffeomorphisms and their induced actions on fields, and periodicity and harmonics – are explained with further examples in my recent preprint, Symmetries of Field Configurations and No-Go Theorems:
https://www.preprints.org/manuscript/20251…
As the name of this preprint suggests, it also explains in full detail how the model operates within a loophole of O’Raifeartaigh’s no-go theorem and how this theorem relates to the better-known Coleman-Mandula theorem.

However, most of what’s presented in this video is unpublished, even in preprint form. New material includes the analysis of how harmonics on spheres can transform as spinor fields. It also includes the explanation of how the gauge group of the standard model arises, which I’ve only developed in the last few weeks.

As this latter analysis is so new, the contents of this video aren’t exactly what was set out in part one of this video series. I’ll therefore be extracting the “Contents” and “9-minute summary” sections of Part 1, updating them, and posting them as separate videos. Watch out for these – coming soon!