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arXiv 1701.00530physics.gen-ph
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不可微力学的尺度相对论表述II:薛定谔图像

Scale relativistic formulation of non-differentiable mechanics II: The Schroedinger picture

Mei-Hui Teh, Laurent Nottale, Stephan LeBohec

摘要:

这篇文章是介绍力学中不可微性的尺度相对论方法及其与量子力学的关系的系列文章中的第二篇。在这里,我们表明薛定谔方程是牛顿的基本关系的动力学推广到不可微几何的第一篇论文\cite{paper1}。它激发了标准量子力学的其他公理在一个连贯的画面中的另一种解释。这个练习验证了尺度相对论方法,同时,它允许识别宏观混沌系统,这些系统在时间尺度上被认为超过了它们的可预测范围,作为寻找量子结构或行为的候选者。

英文摘要:

This article is the second in a series of two presenting the Scale Relativistic approach to non-differentiability in mechanics and its relation to quantum mechanics. Here, we show Schroedinger's equation to be a reformulation of Newton's fundamental relation of dynamics as generalized to non-differentiable geometries in the first paper \cite{paper1}. It motivates an alternative interpretation of the other axioms of standard quantum mechanics in a coherent picture. This exercise validates the Scale Relativistic approach and, at the same time, it allows to identify macroscopic chaotic systems considered at time scales exceeding their horizon of predictability as candidates in which to search for quantum-like structuring or behavior.

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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