Quantum model for black holes and clocks

• URL: http://arxiv.org/abs/2601.07437v1
• Date: Mon, 12 Jan 2026 11:26:06 GMT
• Title: Quantum model for black holes and clocks
• Authors: Alessandro Coppo, Nicola Pranzini, Paola Verrucchi,
• Abstract summary: We consider a stationary quantum system consisting of two non-interacting yet entangled subsystems, $$ and $$.<n>We identify a quantum theory characterizing $$ such that, in the quantum-to-classical crossover of the composite system, $$ behaves as a test particle within the gravitational field of a Schwarzschild Black Hole.<n>This leads us to discuss how the quantum model for $$ endows the SBH with all the characteristics of a "perfect" clock.
• Score: 41.99844472131922
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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