division algebras; space-time model
The universe we see gives every sign of being composed of matter. This is considered a major unsolved problem in theoretical physics. Using the mathematical modeling based on the algebra $\bold T:=\bold C\otimes \bold H \otimes \bold O$, an interpretation is developed that suggests that this seeable universe is not the whole universe; there is an unseeable part of the universe composed of antimatter galaxies and stuff, and an extra 6 dimensions of space (also unseeable) linking the matter side to the antimatter---at the very least.
 Dixon G.M.: Division Algebras: Octonions, Quaternions, Complex Numbers, and the Algebraic Design of Physics
. Kluwer, Dordrecht, 1994. MR 1307379
| Zbl 0807.15024
 Dixon G.M.: Division Algebras, Lattices, Physics, Windmill Tilting. CreateSpace, 2011.