AI 中文总结
探讨 AdS/CFT 中“时空从纠缠中产生”说法背后的三种论断，即关于度规、引力动力学和拓扑连通性。研究它们对产生的决定性和新颖性条件的满足情况，发现只有引力动力学满足新颖性，度规和拓扑连通性的产生论断存疑。
AI 中文摘要
在反德西特/共形场论（AdS/CFT）中，常有人声称“时空从纠缠中产生”。本文认为，在这些一般性表述背后隐藏着关于度规、引力动力学和拓扑连通性的三种不同的产生论断。尽管都用相同术语表述，但这些结果涉及不同的时空方面，不能简单归为一个统一结论的证据，不过它们指向相似方向。本文还研究了这三种产生论断是否满足产生的两个必要条件：决定性和新颖性。结果表明，没有一种产生论断满足决定性条件，因为除了纠缠外，体度规的产生基础还必须包括边界上的诱导度规，这可能使该论断不满足新颖性条件。同样，拓扑连通性的产生基础似乎包括连通性，所以这个产生论断也有问题。本文结论是，与完整的产生基础相比，只有引力动力学是新颖的。
英文摘要
In AdS/CFT, one often finds claims along the lines that ``spacetime emerges from entanglement." This paper argues that behind these general statements hide three distinct emergence claims about, respectively, metric, gravitational dynamics, and topological connectivity. Thus, despite being advertised with the same terminology, these results are not about the same spatiotemporal aspects. They can therefore not just be grouped as evidence for one unanimous conclusion, though they do point in similar directions. The paper also investigates whether the three emergence claims satisfy two of the necessary conditions for emergence: Determination and novelty. The paper argues that none of the emergence claims satisfies the determination condition: More than entanglement is needed to furnish the emergence basis. Besides entanglement, the emergence basis for the bulk metric must include the induced metric on the boundary. Thus, this claim might not satisfy the novelty condition for emergence that the emergent should be novel as compared to the emergence basis. Likewise, the emergence basis for topological connectivity seems to include connectivity whereby this emergence claim is also questionable. The paper concludes that only gravitational dynamics is novel compared to the fully furnished emergence basis.
Comments26 pages, 2 figures
Journal refPhilosophy of Physics 3(1):18, 1-25 (2025)
DOI：10.31389/pop.219
