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arXiv · 2205.05235

The Cosmic Web Crystal: Ising model for Large Scale Structures

Leonardo Giani·Tamara M. Davis
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Abstract

If Dark Matter halos possess the gravitational equivalent of an intrinsic magnetic spin, a formal analogy exists between the low redshift behaviour of the Cosmic Web in a flat FLRW background, and a crystal of spins submerged in a thermal reservoir with temperature $T \propto H(t)$. We argue that, within the use of the Bianchi type IX geometry to describe the gravitational collapse of matter inhomogeneities, the spins are nothing but the heritage of its underlying $SU(2)$ symmetry. Therefore, just like electrons in quantum mechanics, these structures may have spin independently from their orbital angular momentum. We explore the phenomenological implications on cosmological scales of a possible late time phase transition of the Cosmic Web towards (the gravitational equivalent of) a ferromagnetic state, described qualitatively using the Ising model in the mean field approximation.

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Leonardo Giani, Tamara M. Davis. 2022-05-11. The Cosmic Web Crystal: Ising model for Large Scale Structures. https://doi.org/10.1142/s0218271822420251

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