"用数学语言":关于量子基础的数学基础
1Literature, Theory, and Cultural Studies, and Philosophy and Literature Program, Purdue University, West Lafayette, IN 47907, USA.
Entropy (Basel, Switzerland)
|November 27, 2024
概括
现代物理学通过新的数学结构进步. 量子理论独特地使用数学假设来进行概率预测,重新定义科学现实主义而不解释物理现象.
科学领域:
- 物理 物理学 物理
- 科学哲学的科学哲学
背景情况:
- 现代物理学,特别是自16世纪以来,通过开发新的数学结构而取得了进步.
- 物理学科学进步的本质与新数学框架的发明密切相关.
研究的目的:
- 认为现代物理学的进步是由新的数学结构的发明定义的.
- 探索量子理论,特别是量子力学和量子场理论如何通过独特的物理和数学特征赋予这一论文新的意义.
- 引入数学复杂性原理,并提供一个新的视角,在量子物理学中的连续性和不连续性.
主要方法:
- 分析数学结构在物理学的历史发展.
- 检查量子力学和量子场理论的基本原理.
- 探索量子理论的"没有现实主义的现实" (RWR) 解释.
- 数学复杂性原理的介绍和应用.
主要成果:
- 量子理论通过纯粹的物理特征来定义现象,并采用纯粹的数学假设来区分自己.
- 量子力学和量子场理论通过概率连接到现象,而不代表它们的物理因果关系,与RWR解释保持一致.
- 提供了量子物理学中连续性-不连续性问题的新视角,专注于概率预测和排除表示账户.
结论:
- 物理学的进步从根本上与数学创新有关.
- 量子理论代表了一个范式的转变,利用数学结构来概率地预测现象,而无需诉诸机械解释.
- 数学复杂性原理为理解量子现象及其与数学形式主义的关系提供了一个新的框架.
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