On the forums, there is a discussion about papers which try to get the three fermion generations "from octonions", somehow. I decided to seed GPT-J just with the title, "Three Fermion Generation from Octonions". In the end I ran the experiment eight times (in honor of the eight-ness of octonions), seven times at temperature 0.95, and once at temperature 0 (which makes the model deterministic). Here is my distillation of the most coherent ideas in the eight incomplete papers that were generated...
1: each generation is associated with a different irreducible representation of SU(2), or maybe SU(3)
2: particles are classified by a spinor representation of octonions; generations have a quantum number 0, 1/2, 3/2
3: links to 'Quantum gravity and charge renormalization' by David Toms
4: electroweak unification 'by considering octonions as the base ring'; quarks and leptons described by complex octonions
5: in an octonionic free fermion system with three chiral generations, there are fermions with spin 1/2 and fermions with spin 0, and the masses come from 'the imaginary units of the octonions in the appropriate group representations', which are constructed using Young tableaux
6: 'introduces an important ingredient, crucial for the stability of the compactification, namely a non-polynomial superpotential with a new “hair” for the complex structure of the Calabi-Yau manifold'
7: consider fermions in 4d space deformed by 'the co-product algebra of the octonions'
8 (temperature 0): 'the octonionic algebra is the algebra of the three generations of fermions'
