Spatially flat FLRW spacetimes with a Big Bang from matrix geometry
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917020194308096 |
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| author | Gaß, Christian Steinacker, Harold |
| author_facet | Gaß, Christian Steinacker, Harold |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19568 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spatially flat FLRW spacetimes with a Big Bang from matrix geometry Gaß, Christian Steinacker, Harold High Energy Physics - Theory 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. |
| title | Spatially flat FLRW spacetimes with a Big Bang from matrix geometry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.19568 |