证明引力贝尔非局域性的最小实验信息

中文摘要 AI 辅助

物质探针的贝尔违背证实了非局域行为，但并未指明哪个内部子系统携带或被测得该行为。我们确定了将此类违背归因于引力场所需的额外信息。对于在贝尔设置选择之前完成的任何与设置无关的场-探针信道，纠缠破坏信道使得所有感生场测量变为联合可测。静态牛顿相位拾取属于此类，即使采用任意自适应探针控制亦然。应用于最近的四质量提案，所声称的仅场测量满足更强的CHSH界\\(\sqrt2\\)，而贝尔主动操作是包括相干源预示在内的源-探针仪器。在已发表的参数下，观察到的标记行为距离所声称的场探测器族至少\\(0.1630\\)，超过其距贝尔局域性的\\(0.0898\\)距离。随后，我们将常见场切片、引力约束、 dressing、探测器反作用及相干参考纳入一个稳健的认证定理。结果隔离了最小缺失信息：仅场因子分解和每翼上的局域测量不相容性见证。更精确的相位数据无法替代任一要求。

英文摘要

A Bell violation by material probes certifies nonlocal behavior, but it does not identify which internal subsystem carried or was measured to produce that behavior. We determine the additional information required to attribute such a violation to a gravitational field. For any setting-independent field-to-probe channel completed before the Bell settings are chosen, an entanglement-breaking channel makes all induced field measurements jointly measurable. A static Newtonian phase pickup belongs to this class, even with arbitrary adaptive probe control. Applied to a recent four-mass proposal, the claimed field-only measurements obey the stronger CHSH bound \(\sqrt2\), whereas the Bell-active operation is the source-to-probe instrument that includes the coherent source herald. At the published parameters, the observed flagged behavior is at least \(0.1630\) from the claimed field-detector family, exceeding its \(0.0898\) distance from Bell locality. We then incorporate a common field slice, gravitational constraints, dressing, detector backreaction, and coherent references into a robust certification theorem. The result isolates the minimum missing information: field-only factorization and a local measurement- incompatibility witness on each wing. More precise phase data cannot replace either requirement.

发表机构

• City University of Hong Kong（香港城市大学）

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