Quantized open FRW cosmology from Yang-Mills matrix models

Abstract

We present simple solutions of IKKT-type matrix models describing a quantized homogeneous and isotropic cosmology with $k=-1$, finite density of microstates and a resolved Big Bang. At late times, a linear coasting cosmology $a(t)\propto t$ is obtained, which is remarkably close to observation. The solution consists of two sheets with opposite intrinsic chiralities, which are connected in a Euclidean pre-big bang era.

5 pages, 1 figure. V2: minor corrections

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• Signature change in matrix model solutions
• Higher-spin gravity and torsion on quantized space-time in matrix models
• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
• Fermions on curved backgrounds of matrix models
• Cosmic time evolution and propagator from a Yang-Mills matrix model
• One-loop effective action of the IKKT model for cosmological backgrounds
• On the structure of the emergent 3d expanding space in the Lorentzian type IIB matrix model
• Reference level of the vacuum energy density of the Universe and astrophysical data
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• Asymptotic commutativity of quantized spaces: the case of ${\mathbb{CP}}^{p,q}$
• Spatially flat FLRW spacetimes with a Big Bang from matrix geometry
• Spatially flat cosmological quantum spacetimes
• Deformation of Matrix Geometry via Landau Level Evolution
• Fuzzy Black Holes from Mass Generation in Matrix Compactification