Minimum spacetime length and the thermodynamics of spacetime
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915642335035392 |
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| author | Rossi, Valeria Cacciatori, Sergio Luigi Pesci, Alessandro |
| author_facet | Rossi, Valeria Cacciatori, Sergio Luigi Pesci, Alessandro |
| contents | Theories of emergent gravity have established a deep connection between entropy and the geometry of spacetime by looking at the latter through a thermodynamic lens. In this framework, the macroscopic properties of gravity arise in a statistical way from an effective small scale discrete structure of spacetime and its information content. In this review we begin by outlining how theories of quantum gravity imply the existence of a minimum length of spacetime as a general feature. We then describe how such a structure can be implemented in a way that is independent from the details of the quantum fluctuations of spacetime via a bi-tensorial quantum metric $q_{αβ}(x, x')$ that yields a finite geodesic distance in the coincidence limit $x\rightarrow x'$. Finally, we discuss how the entropy encoded by these microscopic degrees of freedom can give rise to the field equations for gravity through a thermodynamic variational principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22403 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimum spacetime length and the thermodynamics of spacetime Rossi, Valeria Cacciatori, Sergio Luigi Pesci, Alessandro General Relativity and Quantum Cosmology High Energy Physics - Theory Theories of emergent gravity have established a deep connection between entropy and the geometry of spacetime by looking at the latter through a thermodynamic lens. In this framework, the macroscopic properties of gravity arise in a statistical way from an effective small scale discrete structure of spacetime and its information content. In this review we begin by outlining how theories of quantum gravity imply the existence of a minimum length of spacetime as a general feature. We then describe how such a structure can be implemented in a way that is independent from the details of the quantum fluctuations of spacetime via a bi-tensorial quantum metric $q_{αβ}(x, x')$ that yields a finite geodesic distance in the coincidence limit $x\rightarrow x'$. Finally, we discuss how the entropy encoded by these microscopic degrees of freedom can give rise to the field equations for gravity through a thermodynamic variational principle. |
| title | Minimum spacetime length and the thermodynamics of spacetime |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.22403 |