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Bell violation by the vacuum at arbitrarily large distances

Decide whether the vacuum of a free massive scalar field violates the CHSH inequality between bounded regions at arbitrarily large distances.

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1{
2 "domain": "physics-astronomy",
3 "topics": [
4 "quantum-information",
5 "mathematical-physics"
6 ],
7 "type": "proof",
8 "source": {
9 "key": "qiqcop",
10 "name": "QIQCOP Zoo",
11 "url": "https://qiqc-op.com/problem/op_660dbca2258b1a9b/",
12 "id": "op_660dbca2258b1a9b",
13 "curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo",
14 "poser": "Reinhard F. Werner and Michael M. Wolf (2001)",
15 "status": "unsolved",
16 "as_of": "2026-10-20",
17 "catalog": "0521c19bbd38"
18 },
19 "review": true,
20 "approval": "first-time"
21}