On the reduction of general relativity to Newtonian gravitation
On the reduction of general relativity to Newtonian gravitation
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DOI：
10.1016/j.shpsb.2019.04.005
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发表时间：
2019-11-01
影响因子：
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通讯作者：
Fletcher, Samuel C.
中科院分区：
文献类型：
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作者：
Fletcher, Samuel C.
物理学中的理论间约化渴望既具有解释性，又具有完美的普遍性：它努力解释为什么一个较旧的、较简单的理论在一个较新的、较复杂的理论中仍然如此成功，它的目的是联系或解释这两个理论尽可能多的特征。尽管经常被作为理论间还原的直接例子介绍，但将广义相对论还原为牛顿引力的候选解释要么不够普遍或严格，要么不能清楚地解释牛顿引力的经验成功。在Ehlers等人工作的基础上，我提出了一个完全通用的不同的约化关系，并满足了人们对它的解释要求。在这样做的过程中，我强调了所有时空集合上的拓扑在定义关系中所起的作用，以及拓扑结构的选择如何对应于更宽或更窄的可观测类，人们要求在极限中很好地近似。(C)2019爱思唯尔有限公司版权所有。
Intertheoretic reduction in physics aspires to be both to be explanatory and perfectly general: it endeavors to explain why an older, simpler theory continues to be as successful as it is in terms of a newer, more sophisticated theory, and it aims to relate or otherwise account for as many features of the two theories as possible. Despite often being introduced as straightforward cases of intertheoretic reduction, candidate accounts of the reduction of general relativity to Newtonian gravitation have either been insufficiently general or rigorous, or have not clearly been able to explain the empirical success of Newtonian gravitation. Building on work by Ehlers and others, I propose a different account of the reduction relation that is perfectly general and meets the explanatory demand one would make of it. In doing so, I highlight the role that a topology on the collection of all spacetimes plays in defining the relation, and how the selection of the topology corresponds with broader or narrower classes of observables that one demands be well-approximated in the limit. (C) 2019 Elsevier Ltd. All rights reserved.