AI 中文总结
该研究基于莱布尼茨充足理由原则提出宇宙的标度不变理论，构建了仅含无量纲比的引力N体问题表述，统一了牛顿解类，或可为广义相对论和量子力学提供新视角。
AI 中文摘要
现代物理学在经验上取得了非凡成功，却保留了牛顿引入的大量绝对的、不可观测的结构，且大多未质疑其必要性。我们在莱布尼茨充足理由原则指导下采用关系本体论，探究这种结构能被消除到何种程度。移除绝对位置、取向、时间，最终移除标度，自然导出了引力N体问题的一种表述，其中仅无量纲比具有物理意义。在该框架内，标度不变簇V成为核心量，它提供了结构的度量、形状的自然排序以及涌现的引力时间箭头。我们认为，所得表述统一了此前被视为不同类别的牛顿解，揭示了一种可能的新对称性，提出了基于无时间空间关联而非时间演化的解释概念，并指向更经济的本体论。尽管该理论是在牛顿引力背景下发展的，但所提出的原理也可能为广义相对论和量子力学提供新视角。
英文摘要
Modern physics has achieved extraordinary empirical success while retaining much of the absolute, unobservable structure introduced by Newton, largely without questioning its necessity. We investigate how far this structure can be eliminated by adopting a relational ontology guided by Leibniz's principle of sufficient reason. Removing absolute position, orientation, time and, finally, scale leads naturally to a formulation of the gravitational $N$-body problem where only dimensionless ratios are physically meaningful. Within this framework, the scale-invariant variety $V$ becomes a central quantity, providing a measure of structure, a natural ordering of shapes, and an emergent gravitational arrow of time. We argue that the resulting formulation unifies classes of Newtonian solutions previously regarded as distinct, uncovering a possible new symmetry, suggests a notion of explanation based on timeless spatial correlations rather than temporal evolution, and points towards a more economical ontology. Although developed in the context of Newtonian gravity, the principles proposed here may also offer a new perspective on general relativity and quantum mechanics.
Comments12 pages, 1 figure
