Matter-Mediated Entanglement in Classical Gravity: Suppression by Binding Potentials and Localization
- URL: http://arxiv.org/abs/2512.13675v2
- Date: Thu, 18 Dec 2025 17:41:51 GMT
- Title: Matter-Mediated Entanglement in Classical Gravity: Suppression by Binding Potentials and Localization
- Authors: Ziqian Tang, Chen Yang, Zizhao Han, Zikuan Kan, Yulong Liu, Hanyu Xue,
- Abstract summary: Two spatially separated masses can become entangled even when gravity is treated as a classical field.<n>We point out that the relevant mechanism is not intrinsically field-theoretic, but is essentially a quantum tunneling/evanescent matter channel.
- Score: 4.4857806924732815
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Aziz and Howl [Nature 646 (2025)] argue that two spatially separated masses can become entangled even when gravity is treated as a classical field, by invoking higher-order "virtual-matter" processes in a QFT description of matter, which is non-LOCC (local operations and classical communication). We point out that the relevant mechanism is not intrinsically field-theoretic, but is essentially a quantum tunneling/evanescent matter channel, which is already captured within ordinary quantum mechanics. More importantly, the microscopic constituents of realistic macroscopic objects are bound and localized by strong potentials, introducing a large internal energy scale that suppresses coherent propagation between distant bodies. Including such binding/localization generically yields an exponential suppression, rendering the matter-mediated contribution negligible at the macroscopic separations relevant to gravitational-entanglement proposals. Consequently, the entanglement identified by AH diagnoses the presence of a coherent matter-exchange channel rather than the classical or quantum nature of gravity, and it does not undermine LOCC-based witness arguments in realistic bound-matter platforms.
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