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Listening to Celestial Algebras

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arxiv 2208.05267 v1 pith:ULQPRKIK submitted 2022-08-10 astro-ph.CO gr-qc

Listening to Celestial Algebras

classification astro-ph.CO gr-qc
keywords algebrasrealisationsaccommodateapplicationsarenaargueastronomycelestial
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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