论经典规范不变性的基础和必要性
On the foundations and necessity of classical gauge invariance
摘要：
我们认为，理想情况下，在物理学的非量子理论（时空，场论）中测量量值的方法，极大地限制了它们可能的数学模型。特别是，杨-米尔斯框架中的规范不变性是我们测量方式的必要条件，而不是对对称性的先验强加。介绍了经典场论几何方面的一般假设基础，并研究了允许的模型。其中一些（例如，与签名变化度量或交互速度的变化兼容）是新的，并且需要对主纤维束的概念进行概括，这可能在物理上和数学上都很有趣。
英文摘要：
We argue that, ideally, the ways to measure magnitudes in non-quantum theories of physics (spacetime, field theory), limit drastically their possible mathematical models. In particular, gauge invariance in the Yang-Mills framework, is a necessity of our way of measuring rather than an a priori imposition on symmetry. A general postulational basis for the geometric aspects of classical field theories is introduced, and the permitted models are studied. Some of them (for example, compatible with signature-changing metrics or variations of the speed of interactions) are new, and require a generalization of the concept of principal fiber bundle, which may be of interest both, physically and mathematically.
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。
