Listening to Celestial Algebras
Jose Beltr\'an Jim\'enez, Tomi S. Koivisto

TL;DR
This paper explores how normed division algebras like quaternions and octonions can model elementary particles and cosmological symmetries, potentially leading to observable effects in gravitational wave data.
Contribution
It introduces novel applications of division algebras to cosmology and particle physics, linking algebraic structures to observable phenomena.
Findings
Division algebras enable new realizations of the cosmological principle
Potential observational signatures in gravitational wave astronomy
Interplay between quaternionic and octonionic symmetry groups
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.
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