如果感知的伪欧几里得空间是涌现的，Bell定理是否仍然适用？

Is nonlocality responsible for the violation of Bell's inequalities?

Bell's theorem has been widely argued to show that some of the predictions of quantum mechanics which are obtained by applying the {\it Born's rule} to a class of {\it entangled states}, are {\it not} compatible with {\it any} local-causal statistical model, via the violation of Bell's inequalities. On the other hand, in the previous work, we have shown that quantum dynamics and kinematics are {\it emergent} from a statistical model that is singled out {\it uniquely} by the principle of Locality. Here we shall show that the local-causal model supports entangled states and give the statistical …

On the Relative Distance of Entangled Systems in Emergent Spacetime Scenarios

Spacetime emergence from entanglement proposes an alternative to quantizing gravity and typically derives a notion of distance based on the amount of mutual information shared across sub-systems. Albeit promising, this program still faces challenges to describe simple physical systems, such as a maximally entangled Bell pair that is taken apart while preserving its entanglement. We propose a solution to this problem: a reminder that quantum systems can have multiple sectors of independent degrees of freedom, and that each sector can be entangled. Thus, while one sector can decohere, and decrea…

Bell's theorem: A bridge between the measurement and the mind/body problems

In this essay a quantum-dualistic, perspectival and synchronistic interpretation of quantum mechanics is further developed in which the classical world-from-decoherence which is perceived (decoherence) and the perceived world-in-consciousness which is classical (collapse) are not necessarily identified. Thus, Quantum Reality or "{\it unus mundus}" is seen as both i) a physical non-perspectival causal Reality where the quantum-to-classical transition is operated by decoherence, and as ii) a quantum linear superposition of all classical psycho-physical perspectival Realities which are governed b…

On modifications of Reichenbach's principle of common cause in light of Bell's theorem

Bell's 1964 theorem causes a severe problem for the notion that correlations require explanation, encapsulated in Reichenbach's Principle of Common Cause. Despite being a hallmark of scientific thought, dropping the principle has been widely regarded as a much less bitter medicine than the perceived alternative---dropping relativistic causality. Recently, however, some authors have proposed that modified forms of Reichenbach's principle could be maintained even with relativistic causality. Here we break down Reichenbach's principle into two independent assumptions---the Principle of Common Cau…

非局域性、可积性与量子混沌在贝尔算子谱中的研究

Nonlocality, Integrability and Quantum Chaos in the Spectrum of Bell Operators

本文通过多体三能级系统中的置换不变多体贝尔不等式，研究贝尔非局域性与量子混沌之间的关系，发现最大违反测量设置下贝尔算子具有泊松谱统计，揭示了可积性。

突现量子力学与量子非定域关联的起源

Emergent quantum mechanics and the origin of quantum non-local correlations

根据突现量子力学的特定框架，对量子关联和纠缠进行了几何解释。所描述的机制基于两个成分：1.在一个假设的亚量子水平的物理系统的描述，动力学有一个制度，它是部分遍历和2。从突现量子理论的二维时间数学形式到通常的量子动力学的一维时间形式的形式投影。得到了该理论的可观测结果。其中，我们表明，量子关联必须是瞬时的时空描述的角度来看，但它们可以被观察到的空间距离必须有界。讨论了该机制如何避免Bell定理和Kochen-Specken定理。在我们的建议中，非信号快于光速的证据进行了讨论。

贝尔定理和测量问题：将两个谜团简化为一个？

Bell's theorem and the measurement problem: reducing two mysteries to one?

根据霍华德·怀斯曼和作者最近从因果原理出发对贝尔定理的重新表述，我认为贝尔的工作所带来的量子理论和相对论之间的冲突可以通过修正我们经典的因果关系概念来缓和。我回顾了最近提出的因果关系的量子理论的一些建议，这些建议朝着这一目标迈出了巨大的步伐，但强调了所有那些不满足贝尔现实主义倾向的理论所共有的一个属性。它们需要（隐式或显式）以代理为中心的概念，如“可观察”和“不可观察”，或“观察到”和“未观察到”。因此，他们通过强调一个更经常与量子理论中另一个深层概念问题联系在一起的问题来缓解围绕贝尔定理的紧张局势：测量问题。然而，我并不反对这些术语，而是认为我们应该理解，为了达到量子理论和相对论之间的兼容性，为什么它们似乎是必要的，至少在表面上是必要的。这似乎表明，因果关系以及因果结构是涌现的现象，并支持这样一种观点，即解决量子理论和相对论之间的冲突需要解决测量问题。

贝尔不等式、实验协议和上下文

Bell Inequalities, Experimental Protocols and Contextuality

Bell、CHSH和CH不等式的违反仅仅表明证明中使用的“反事实确定性”假设和/或概率模型是不正确的。在本文中，我们详细讨论了实验协议和概率模型之间的密切关系。特别是，我们表明，本地现实和随机隐变量模型是不一致的自旋极化相关实验中使用的实验协议。特别是，这些模型忽略了量子理论（QT）的背景特征，并且没有正确地描述量子测量。我们认为，违反各种不等式的论据反对不可约的随机性的行为的测量。因此量子概率是可约的，这意味着QT是突现的。在这种情况下，人们可以期望在时间序列数据中发现一些不可预测的精细结构，证明QT是不可预测的完整的，这将是一个重大发现。

经典网络中测量统计的动力读出与涌现的类纠缠态

Dynamical Readout of Measurement Statistics and Emergent Entanglement-Like States in Classical Networks

本文提出一种经典网络的原生读出方案，通过十种连接性扰动测量主导增长率的偏移，实现对有效两量子位态测量统计的完整动力读出，并验证了贝尔态违反CHSH不等式。

A violation of the Tsirelson bound in the pre-quantum theory of trace dynamics

The term Bell's theorem refers to a set of closely related results which imply that quantum mechanics is incompatible with local hidden variable theories. Bell's inequality is the statement that if measurements are performed independently on two space-like separated particles of an entangled pair, the assumption that outcomes depend on hidden variables implies an upper bound on the correlations between the outcomes. Quantum mechanics predicts correlations which violate this upper bound. The CHSH inequality is a specific Bell inequality in which classical correlation (i.e. if local hidden varia…

贝尔定理、不可计算性与共形循环宇宙学：一种自顶向下的量子引力研究方法

Bell's Theorem, Non-Computability and Conformal Cyclic Cosmology: A Top-Down Approach to Quantum Gravity

本文结合彭罗斯的共形循环宇宙学、不可计算性等思想提出量子引力的不变集理论，以宇宙整体相空间几何区分量子与引力过程，在保留广义相对论决定论和局域因果性的前提下解释贝尔不等式违反，还提出修正广义相对论场方程使之适配该理论。

涌现量子力学和涌现经典引力理论的基础

Foundations for a theory of emergent quantum mechanics and emergent classical gravity

本文提出一种基于Hamilton-Randers空间的理论框架，通过度量集中现象解释量子态的自发坍缩和经典引力的涌现，同时探讨了量子力学与引力相互作用的关系。