Deriving the Standard Model from a single finite geometry with zero free parameters
https://wilcompute.github.io/W33-Theory/ ā// readme
W(3,3)
One finite geometry, pushed as far as exact computation goes
40 points Ā· 40 lines Ā· SRG(40,12,2,4) Ā· Aut ā
W(Eā), order 51,840
Thousands of exact artifacts. Named maps, not matching integers. Reproducible certificates. Public corrections.
Read the atlas Ā· Master paper Ā· W33 for Everyone Ā· Find a result Ā· What we got wrong
Start with the symplectic space Fāā“. Its totally isotropic points and lines form the generalized quadrangle
W(3,3): 40 points, 40 lines, each point on 4 lines, and a collinearity graph SRG(40,12,2,4) whose
automorphism group is PGSp(4,3) ā
W(Eā). It is also the commutation geometry of two qutrits: the 40
points are the two-qutrit Pauli operators up to phase and powers, two points are collinear when the operators
commute, and the 40 lines are the maximal commuting sets.
This repository is everything that has been computed exactly from that one object:ā¦