In this essay, we immerse into the framework of normed division algebras as a suitable arena to accommodate standard model elementary particles, and explore some applications cosmology. Remarkably, they permit interesting non-trivial realisations cosmological principle with an interplay between symmetry groups quaternions octonions. We also argue how these give rise potentially observational si...

We review some normed division algebras (R, C, H, O) applications to the monopole physics and MICZ-Kepler problems. More specifically, we will briefly results in applying interpret existence of Dirac, Yang, SO(8) monopoles. These monopoles also appear during examination duality between isotropic harmonic oscillators revisit our newest nine-dimensional problem using generalized Hurwitz transform...

In an earlier paper of mine relating vector bundles and Gromov–Hausdorff distance for ordinary compact metric spaces, it was crucial that the Lipschitz seminorms from the metrics satisfy a strong Leibniz property. In the present paper, for the now noncommutative situation of matrix algebras converging to the sphere (or to other spaces) for quantum Gromov–Hausdorff distance, we show how to const...