Quantum model for black holes and clocks
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912818074222592 |
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| author | Coppo, Alessandro Pranzini, Nicola Verrucchi, Paola |
| author_facet | Coppo, Alessandro Pranzini, Nicola Verrucchi, Paola |
| contents | We consider a stationary quantum system consisting of two non-interacting yet entangled subsystems, $Ξ$ and $Γ$. We identify a quantum theory characterizing $Ξ$ such that, in the quantum-to-classical crossover of the composite system, $Γ$ behaves as a test particle within the gravitational field of a Schwarzschild Black Hole (SBH) near its event horizon. We then show that this same quantum theory naturally provides a representation of $Ξ$ in terms of bosonic modes, whose features match those of the Hawking radiation; this facilitates the establishment of precise relations between the phenomenological parameters of the SBH and the microscopic details of the quantum model for $Ξ$. Finally, we recognize that the conditions used to characterize $Γ$ and $Ξ$ coincide with those required by the Page and Wootters mechanism for identifying an evolving system and an associated clock. This leads us to discuss how the quantum model for $Ξ$ endows the SBH with all the characteristics of a "perfect" clock. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07437 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum model for black holes and clocks Coppo, Alessandro Pranzini, Nicola Verrucchi, Paola Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory History and Philosophy of Physics We consider a stationary quantum system consisting of two non-interacting yet entangled subsystems, $Ξ$ and $Γ$. We identify a quantum theory characterizing $Ξ$ such that, in the quantum-to-classical crossover of the composite system, $Γ$ behaves as a test particle within the gravitational field of a Schwarzschild Black Hole (SBH) near its event horizon. We then show that this same quantum theory naturally provides a representation of $Ξ$ in terms of bosonic modes, whose features match those of the Hawking radiation; this facilitates the establishment of precise relations between the phenomenological parameters of the SBH and the microscopic details of the quantum model for $Ξ$. Finally, we recognize that the conditions used to characterize $Γ$ and $Ξ$ coincide with those required by the Page and Wootters mechanism for identifying an evolving system and an associated clock. This leads us to discuss how the quantum model for $Ξ$ endows the SBH with all the characteristics of a "perfect" clock. |
| title | Quantum model for black holes and clocks |
| topic | Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory History and Philosophy of Physics |
| url | https://arxiv.org/abs/2601.07437 |