For me it is very difficult, actually impossible, to understand what you mean. And I think the problem is that you are vague and use terminology in a non-standard way. The problem is not your English, the mathematics is. Perhaps some of the notions you use are not clear to you. For example you keep saying that the global bundle is trivial. But that is confusing because globally the interesting bundles are not trivial. May be you mean that there are no global symmetries. When every sentence is like that it is frustrating to read. On the other hand these seem like interesting topics, so I can not stop myself reading.