Listening to Celestial Algebras
arXiv:2208.05267 · doi:10.3390/universe8080407
Abstract
In this essay, we immerse into the framework of normed division algebras as a suitable arena to accommodate the standard model of elementary particles, and we explore some applications to cosmology. Remarkably, they permit interesting non-trivial realisations of the cosmological principle with an interplay between the symmetry groups of the quaternions and octonions. We also argue how these realisations give rise to potentially observational signatures in gravitational waves astronomy.
arXiv comment10 pages, 3 figures. Contribution to the special issue Beyond Riemannian Geometry in Classical and Quantum Gravity
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