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arXiv 2609.07860quant-ph

超平面上的蛇:埃弗雷特量子力学中的动力学与本体论局域性

Snakes on a Hyper-Plane: Dynamical and Ontological Locality in Everettian Quantum Mechanics

发表机构史密斯学院
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  • Smith College(史密斯学院)

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Travis Norsen

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中文总结 AI 辅助

本文挑战埃弗雷特量子力学时空态实在论与相对论因果性兼容的共识,指出其非局域实在要素使动力学局域性表述复杂化,暗示其可能不兼容。

中文摘要 AI 辅助

一个明显正在形成的共识认为,在Wallace和Timpson的时空态实在论(SSR)版本中,埃弗雷特量子力学(EQM)涉及本体论非局域性(即非可分离性),但与相对论通常要求的动力学局域性概念完全兼容。动力学局域性的主张基于以下事实:该理论所假定的局域实在要素(即与局域区域关联的约化密度矩阵,RDMs)不受其过去光锥之外干预的影响。然而,该理论的非可分离性意味着它除了局域实在要素之外,还设定了非局域实在要素(即非局域区域的RDMs)。我们在此论证,非局域实在要素的介入为现存的动力学局域性表述带来了复杂性,并且至少暗示,与正在形成的共识相反,SSR EQM或许不应被视为与相对论因果性兼容。

英文摘要

An apparently emerging consensus holds that Everettian Quantum Mechanics (EQM), in the Spacetime State Realism (SSR) version of Wallace and Timpson, involves ontological non-locality (i.e., non-separability) but is fully compatible with the dynamical notion of locality usually taken to be required by relativity. The claim of dynamical locality is based on the fact that the local beables postulated by the theory (namely, Reduced Density Matrices, RDMs, associated with localized regions) are not affected by interventions outside their past light cones. However, the theory's non-separability means that it posits non-local beables (namely RDMs for non-localized regions) in addition to the local ones. We argue here that the involvement of non-local beables introduces complications for extant formulations of dynamical locality and at least suggests, contrary to the emerging consensus, that SSR EQM should perhaps not be considered compatible with relativistic causality after all.

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