Minimal noise in non-quantized gravity

Fuente: arXiv
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Hauptverfasser: Fabiano, Giuseppe, Fujita, Tomohiro, Matsumura, Akira, Carney, Daniel
Format: Preprint
Veröffentlicht: 2026
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author Fabiano, Giuseppe
Fujita, Tomohiro
Matsumura, Akira
Carney, Daniel
author_facet Fabiano, Giuseppe
Fujita, Tomohiro
Matsumura, Akira
Carney, Daniel
contents An elementary prediction of the quantization of the gravitational field is that the Newtonian interaction can entangle pairs of massive objects. Conversely, in models of gravity in which the field is not quantized, the gravitational interaction necessarily comes with some level of noise, i.e., non-reversibility. Here, we give a systematic classification of all possible such models consistent with the basic requirements that the non-relativistic limit is Galilean invariant and reproduces the Newtonian interaction on average. We demonstrate that for any such model to be non-entangling, a quantifiable, minimal amount of noise must be injected into any experimental system. Thus, measuring gravitating systems at noise levels below this threshold would be equivalent to demonstrating that Newtonian gravity is entangling. As concrete examples, we analyze our general predictions in a number of experimental setups, and test it on the classical-quantum gravity models of Oppenheim et al., as well as on a recent model of Newtonian gravity as an entropic force.
format Preprint
id arxiv_https___arxiv_org_abs_2603_26075
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Minimal noise in non-quantized gravity
Fabiano, Giuseppe
Fujita, Tomohiro
Matsumura, Akira
Carney, Daniel
Quantum Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
An elementary prediction of the quantization of the gravitational field is that the Newtonian interaction can entangle pairs of massive objects. Conversely, in models of gravity in which the field is not quantized, the gravitational interaction necessarily comes with some level of noise, i.e., non-reversibility. Here, we give a systematic classification of all possible such models consistent with the basic requirements that the non-relativistic limit is Galilean invariant and reproduces the Newtonian interaction on average. We demonstrate that for any such model to be non-entangling, a quantifiable, minimal amount of noise must be injected into any experimental system. Thus, measuring gravitating systems at noise levels below this threshold would be equivalent to demonstrating that Newtonian gravity is entangling. As concrete examples, we analyze our general predictions in a number of experimental setups, and test it on the classical-quantum gravity models of Oppenheim et al., as well as on a recent model of Newtonian gravity as an entropic force.
title Minimal noise in non-quantized gravity
topic Quantum Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2603.26075