Exploring Quantum Spacetime with Topological Data Analysis
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916993619197952 |
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| author | van der Duin, J. Loll, R. Schiffer, M. Silva, A. |
| author_facet | van der Duin, J. Loll, R. Schiffer, M. Silva, A. |
| contents | In a novel application of the tools of topological data analysis (TDA) to nonperturbative quantum gravity, we introduce a new class of observables that allows us to assess whether quantum spacetime really resembles a ``quantum foam" near the Planck scale. The key idea is to investigate the Betti numbers of coarse-grained path integral histories, regularized in terms of dynamical triangulations, as a function of the coarse-graining scale. In two dimensions our analysis exhibits the well-known fractal structure of Euclidean quantum gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05693 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exploring Quantum Spacetime with Topological Data Analysis van der Duin, J. Loll, R. Schiffer, M. Silva, A. High Energy Physics - Theory In a novel application of the tools of topological data analysis (TDA) to nonperturbative quantum gravity, we introduce a new class of observables that allows us to assess whether quantum spacetime really resembles a ``quantum foam" near the Planck scale. The key idea is to investigate the Betti numbers of coarse-grained path integral histories, regularized in terms of dynamical triangulations, as a function of the coarse-graining scale. In two dimensions our analysis exhibits the well-known fractal structure of Euclidean quantum gravity. |
| title | Exploring Quantum Spacetime with Topological Data Analysis |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.05693 |