Exploring quantum spacetime with topological data analysis
Abstract
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.
Fields of Study & Subjects
Topological and Geometric Data Analysis
Publication details
- Journal / source
- Physics Letters B
- Volume
- 881
- Pages
- 140857–140857
- Publication date
- 13 August 2026
- Language
- EN