u/_Kiuw_

Built a framework where particle masses come out of the geometry of G2 (the symmetry group of the octonions), and I'd like people to try to poke holes in it.

Here is one thing you can check in two minutes. The proton to tau lepton mass ratio, measured, is 0.5280506. Now compute:

sqrt(8 - 7/102) x 3/16 = 0.5280505

Agreement to about two parts in ten million. The 8 is a count of the independent field connections that lock the proton's three quark arcs together, and the 7/102 is a small correction from index theory. Nothing is fitted. What makes this one clean is that it is a pure ratio, so the usual QCD scale ambiguity cancels out. There is nothing to tune, so it either matches or it does not.

There is a larger framework behind this, but it is a big read, so I pulled out a short section with three numbers anyone can check by hand, each with its origin explained. If you can find a hole, I would genuinely appreciate it.

Link: https://zenodo.org/records/21206314

Also, is there a better sub for this kind of thing?

Hey everyone,

Quick question before posting: is there a better sub for this kind of thing?

In 7D geometry (part of 11D supersymmetry), there is only one structure that survives symmetry breaking if you require the field to settle into its lowest energy configuration. That structure is G2, which Witten, Hawking and others predicted as the natural candidate.

Starting from just that structure and one rule: the field must be in the most energy-efficient state, it turns out you can derive every Standard Model particle mass geometrically. No free parameters, no fitting..

Three predictions anyone can check with a calculator in five minutes:

• Proton mass: 939.0 MeV predicted, 938.3 MeV measured, 0.000028% error
• Neutrino mixing angle theta_13: pi/21 = 8.571° predicted, 8.57° measured, 0.02% error
• Hydrogen ionisation energy: 13.6057 eV predicted, 13.6057 eV measured, 0.000% error

Full preprint: https://zenodo.org/records/20827550

Curious what people think.