dorsal/arxiv
View SchemaQuantum model for black holes and clocks
| Authors | Alessandro Coppo, Nicola Pranzini, Paola Verrucchi |
|---|---|
| Categories | |
| ArXiv ID | 2601.07437vv1 |
| URL | https://arxiv.org/abs/2601.07437 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We consider a stationary quantum system consisting of two non-interacting yet entangled subsystems, $\Xi$ and $\Gamma$. We identify a quantum theory characterizing $\Xi$ such that, in the quantum-to-classical crossover of the composite system, $\Gamma$ 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 $\Xi$ 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 $\Xi$. Finally, we recognize that the conditions used to characterize $\Gamma$ and $\Xi$ 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 $\Xi$ endows the SBH with all the characteristics of a "perfect" clock.
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"date_created": "2026-02-17T05:53:11.404000Z",
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"abstract": "We consider a stationary quantum system consisting of two non-interacting yet entangled subsystems, $\\Xi$ and $\\Gamma$. We identify a quantum theory characterizing $\\Xi$ such that, in the quantum-to-classical crossover of the composite system, $\\Gamma$ 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 $\\Xi$ 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 $\\Xi$. Finally, we recognize that the conditions used to characterize $\\Gamma$ and $\\Xi$ 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 $\\Xi$ endows the SBH with all the characteristics of a \"perfect\" clock.",
"arxiv_id": "2601.07437",
"authors": [
"Alessandro Coppo",
"Nicola Pranzini",
"Paola Verrucchi"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th",
"physics.hist-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Quantum model for black holes and clocks",
"url": "https://arxiv.org/abs/2601.07437",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
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"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
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