AI 中文总结
该研究针对吉辛的论证，指出其仅适用于确定性模型，引入框架索引因果模型框架将其扩展至概率情况，确立两个禁则结果，并在量子理论相对论解释语境下展开讨论。
AI 中文摘要
吉辛提出了一个论证，结论是：任何协变的非局域模型都无法重现贝尔实验中观测到的操作统计结果。不过，吉辛的论证仅适用于确定性模型，我们认为，仅基于统计概念将该论证推广至非确定性情况的做法并不令人信服，因为这类推广缺乏构建令人满意的无逆因果概念的资源。为将吉辛的论证扩展至真正的概率情况，我们引入了框架索引因果模型（frame-indexed causal models）的框架。该框架会为不同参考系关联可能不同的因果模型，同时要求对应的操作变量在每次运行中保持一致。在该框架内，我们基于吉辛的论证确立了两个禁则结果：第一，不存在经验上充分的框架索引因果模型能同时满足独立设定、无逆因果（no-retrocausality）和因果洛伦兹不变性；第二，当将因果洛伦兹不变性弱化为因果连接的洛伦兹不变性（仅要求因果结构的骨架保持不变，允许因果影响的方向依赖于参考系的选择）时，上述结果仍然成立。我们在量子理论的相对论解释与非经典因果推理的语境下对这些结果进行了讨论。
英文摘要
Gisin has provided an argument for the conclusion that no covariant nonlocal model can reproduce the operational statistics observed in Bell experiments. Gisin's argument applies only to deterministic models and we argue that proposed generalizations of the argument beyond determinism based solely on statistical notions are unconvincing, as they lack the resources to formulate a satisfactory notion of no-retrocausality. We introduce the framework of frame-indexed causal models in order to extend Gisin's argument to the genuinely probabilistic case. Frame-indexed causal models associate potentially different causal models with different reference frames while requiring corresponding operational variables to agree runwise. Within this framework, we establish two no-go results based on Gisin's argument. First, we show that no empirically adequate frame-indexed causal model can jointly satisfy Independent Settings, No-Retrocausality, and Causal Lorentz Invariance. Second, it is established that this result continues to hold when Causal Lorentz Invariance is weakened to Lorentz Invariance of Causal Connections, which requires only the skeleton of the causal structure to remain invariant, thereby allowing the direction of causal influence to depend on the choice of reference frame. These results are discussed in the context of relativistic interpretations of quantum theory and nonclassical causal inference.
Comments13 pages, 7 figures
