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arXiv 1511.03429physics.hist-phquant-ph
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最小原理的形而上学Action

Metaphysics of the Principle of Least Action

Vladislav Terekhovich

摘要:

尽管物理学中的变分原理很重要,但很少有人试图把它们当作一个现实的框架。除了旧的目的论问题,本文继续最近的讨论有关的最小行动原则的模式参与及其与休谟的自然规律观的关系。本文从现代形态形而上学和莱布尼茨的本质或可能性概念的角度考察了最小作用量原理中可能路径的实在性。我阐述了一个模态解释的原则,最少的行动,取代了一个系统的运动沿着一个单一的历史在实际的方式由同时运动沿着一个无限集的所有可能的历史在可能的方式的经典表示。这个模型是基于一种直觉,即最小作用量原理中的可能路径与费曼路径积分中的可能量子历史之间存在着深刻的本体论联系。我将这种行为解释为对每一种可能的历史本质的物理测量。因此,只有一个现实的历史具有最高程度的本质和最低程度的行动。为了解决必然性问题,我假设最小作用量原理具有一般的物理必然性,并且介于具有有限物理必然性的运动定律和具有形而上学必然性的某些定律之间。

英文摘要:

Despite the importance of the variational principles of physics, there have been relatively few attempts to consider them for a realistic framework. In addition to the old teleological question, this paper continues the recent discussion regarding the modal involvement of the principle of least action and its relations with the Humean view of the laws of nature. The reality of possible paths in the principle of least action is examined from the perspectives of the contemporary metaphysics of modality and Leibniz's concept of essences or possibles striving for existence. I elaborate a modal interpretation of the principle of least action that replaces a classical representation of a system's motion along a single history in the actual modality by simultaneous motions along an infinite set of all possible histories in the possible modality. This model is based on an intuition that deep ontological connections exist between the possible paths in the principle of least action and possible quantum histories in the Feynman path integral. I interpret the action as a physical measure of the essence of every possible history. Therefore only one actual history has the highest degree of the essence and minimal action. To address the issue of necessity, I assume that the principle of least action has a general physical necessity and lies between the laws of motion with a limited physical necessity and certain laws with a metaphysical necessity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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