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arXiv · 2503.19568

Spatially flat FLRW spacetimes with a Big Bang from matrix geometry

Christian Gaß·Harold Steinacker
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Abstract

We present an expanding, spatially flat ($k=0$) FLRW quantum spacetime with a Big Bang, considered as a background in Yang-Mills matrix models. The FLRW geometry emerges in the semi-classical limit as a projection from the fuzzy hyperboloid. We analyze the propagation of scalar fields, and demonstrate that their Feynman propagator resembles the Minkowski space Feynman propagator in the semi-classical regime. Moreover, the higher spin modes predicted by the matrix model are described explicitly. These results are compared to recent results on $k=-1$ FLRW quantum spacetimes with a Big Bounce.

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Christian Gaß, Harold Steinacker. 2025-03-25. Spatially flat FLRW spacetimes with a Big Bang from matrix geometry. https://doi.org/10.1016/j.nuclphysb.2025.116988

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