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arXiv 2201.07979gr-qc
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形状动力学与宇宙:基础与启示

Shape Dynamics and The Universe: Foundations and Implications

Pooya Farokhi

摘要:

形状动力学是经典动力学的另一种背景独立方法,它实现了莱布尼茨哲学和马赫原理。它是宇宙动力学的一种表述,它是根据客观上可观察到的内在和关系自由度,而不是相对于外部参照系定义的属性。形状动力学不是一个很古老的研究领域。尽管早在20世纪80年代,朱利安·巴伯(Julian Barbour)关于马赫原理的早期作品就已经逐渐活跃起来,但在过去十年中,一系列严谨的作品又为它注入了活力。这项工作是一个详尽的审查的历史和概念基础的理论,延伸到莱布尼茨和牛顿的哲学,目前建立的制定的理论,连同一些主要结果,其宇宙学的应用。这项工作的结构由两部分组成:在第一部分中,我们涵盖了理论的基础和制定(场本体论和粒子本体论),在第二部分中,我们研究了它的应用并反思了问题的解决方案时间之箭。我们通过思考一些最近的想法和进一步发展理论的前景来结束我们的旅程。

英文摘要:

Shape dynamics is an alternative background-independent approach to classical dynamics that implements Leibnizian philosophy and Mach's Principles. It is a formulation of the dynamics of the universe in terms of the intrinsic and relational degrees of freedom which are objectively observable and not properties defined with respect to an external frame of reference. Shape dynamics is not a very old field of study. Although it was already gradually coming alive out of Julian Barbour's early works on Mach's Principle back in the 1980s, it was invigorated by a series of rigorous works in the last decade. This work is an exhaustive review of the historical and conceptual underpinning of the theory that extends to Leibniz and Newton's philosophy, and the currently established formulation of the theory, together with some of the major results of its cosmological applications. The structure of this work consists of two parts: In the first one we cover the foundations and the formulation of the theory (both the field and particle ontology), and in the second one we study its applications and reflect on the resolution of the problem of the arrow of time. We end our journey by contemplating some recent ideas and prospects for further developing the theory.

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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