https://haifei.pro/en/tags/connection/Recent content in Connection on Haifei's HomeHugoenhfwang132@gmail.com (hfwang132)hfwang132@gmail.com (hfwang132)This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.Tue, 29 Jul 2025 15:08:10 +0800https://haifei.pro/en/post_20250729_%E4%BB%80%E4%B9%88%E6%98%AF%E8%81%94%E7%BB%9C-%E6%9B%B4%E9%AB%98%E6%9B%B4%E5%A6%99%E7%9A%84%E7%94%B5%E5%8A%A8%E5%8A%9B%E5%AD%A6-%E7%95%AA%E5%A4%96%E7%AF%87-1/Tue, 29 Jul 2025 15:08:10 +0800hfwang132@gmail.com (hfwang132)https://haifei.pro/en/post_20250729_%E4%BB%80%E4%B9%88%E6%98%AF%E8%81%94%E7%BB%9C-%E6%9B%B4%E9%AB%98%E6%9B%B4%E5%A6%99%E7%9A%84%E7%94%B5%E5%8A%A8%E5%8A%9B%E5%AD%A6-%E7%95%AA%E5%A4%96%E7%AF%87-1/<p>In a <a href="https://zhuanlan.zhihu.com/p/23958176393" target="_blank" rel="noopener noreffer ">previous article</a>, we said that the electromagnetic field is a connection. This led many readers to think of the connection in general relativity. What are the differences and commonalities between these two kinds of connections?</p> <p>The electromagnetic connection \(A\) is a connection on a principal bundle, whereas the general-relativistic connection \(\Gamma\) is a connection on a vector bundle. Their definitions appear to be quite different. Is there a way to relate them?</p>