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Quantum gravity and effective topology.

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Title: Quantum gravity and effective topology.
Authors: van der Duin, J.1 (AUTHOR), Loll, R.1,2 (AUTHOR), Schiffer, M.1 (AUTHOR) marc.schiffer@ru.nl, Silva, A.1 (AUTHOR)
Source: European Physical Journal C -- Particles & Fields. Feb2026, Vol. 86 Issue 2, p1-25. 25p.
Subjects: Quantum gravity, Betti numbers, Quantum fluctuations, Space-time symmetries, Computational topology
Abstract: We introduce a new methodology to characterize properties of quantum spacetime in a strongly quantum-fluctuating regime, using tools from topological data analysis. Starting from a microscopic quantum geometry, generated nonperturbatively in terms of dynamical triangulations (DT), we compute the Betti numbers of a sequence of coarse-grained versions of the geometry as a function of the coarse-graining scale, yielding a characteristic "topological finger print". We successfully implement this methodology in Lorentzian and Euclidean 2D quantum gravity, defined via lattice quantum gravity based on causal and Euclidean DT, yielding different results. Effective topology also enables us to formulate necessary conditions for the recovery of spacetime symmetries in a classical limit. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Feb2026, Vol. 86 Issue 2, p1-25. 25p.
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  Data: <searchLink fieldCode="DE" term="%22Quantum+gravity%22">Quantum gravity</searchLink><br /><searchLink fieldCode="DE" term="%22Betti+numbers%22">Betti numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+fluctuations%22">Quantum fluctuations</searchLink><br /><searchLink fieldCode="DE" term="%22Space-time+symmetries%22">Space-time symmetries</searchLink><br /><searchLink fieldCode="DE" term="%22Computational+topology%22">Computational topology</searchLink>
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  Data: We introduce a new methodology to characterize properties of quantum spacetime in a strongly quantum-fluctuating regime, using tools from topological data analysis. Starting from a microscopic quantum geometry, generated nonperturbatively in terms of dynamical triangulations (DT), we compute the Betti numbers of a sequence of coarse-grained versions of the geometry as a function of the coarse-graining scale, yielding a characteristic "topological finger print". We successfully implement this methodology in Lorentzian and Euclidean 2D quantum gravity, defined via lattice quantum gravity based on causal and Euclidean DT, yielding different results. Effective topology also enables us to formulate necessary conditions for the recovery of spacetime symmetries in a classical limit. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Text: English
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      – SubjectFull: Betti numbers
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      – SubjectFull: Quantum fluctuations
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      – SubjectFull: Space-time symmetries
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              Text: Feb2026
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