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Exploring quantum spacetime with topological data analysis
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DOI：10.1016/j.physletb.2026.140857.png)
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Abstract
En 中文
Applying 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.
Keywords:
Quantum gravity
Dynamical triangulation
Effective topology
Topological data analysis
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IF:
4.5
Papers:
3.2W
Citations:
7.3W
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