The apparent nonlocality of quantum theory has been a persistent concern. Einstein et al. (1935) and Bell (1964) emphasized the apparent nonlocality arising from entanglement correlations. While some interpretations embrace this nonlocality, modern variations of the Everett-inspired many worlds interpretation try to circumvent it. In this paper, we review Bell's “no-go” theorem and explain how it rests on three axioms, local causality, no superdeterminism, and one world. Although Bell is often taken to have shown that local causality is ruled out by the experimentally confirmed entanglement correlations, we make clear that it is the conjunction of the three axioms that is ruled out by these correlations. We then show that by assuming local causality and no superdeterminism, we can give a direct proof of many worlds. The remainder of the paper searches for a consistent, local, formulation of many worlds. We show that prominent formulations whose ontology is given by the wave function violate local causality, and we critically evaluate claims in the literature to the contrary. We ultimately identify a local many worlds interpretation that replaces the wave function with a separable Lorentz-invariant wave-field. We conclude with discussions of the Born rule, and other interpretations of quantum mechanics.

量子理论的明显的非局部性一直是一个令人担忧的问题。爱因斯坦等。（1935）和贝尔（1964）强调了纠缠相关性引起的明显的非局部性。虽然某些解释包含这种非本地性，但埃弗雷特（Everett）启发的许多世界现代解释都试图绕开它。在本文中，我们回顾了贝尔的“不行”定理，并解释了它如何基于三个公理，局部因果关系，无超确定论和一个世界。尽管贝尔经常被认为表明了当地的因果关系通过实验证实的纠缠相关性排除了这一点，我们明确指出，由这些相关性排除的是三个公理的合取。然后，我们证明通过假设局部因果关系和没有超确定性，我们可以直接证明许多世界。本文的其余部分寻求许多世界的一致，局部的表述。我们表明，由波动函数给出本体的突出公式违反了局部因果关系，相反，我们严格地评估了文献中的主张。我们最终确定了一个局部世界的解释，该解释将波函数替换为可分离的Lorentz不变波场。最后，我们讨论了玻恩定律以及量子力学的其他解释。