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Originally Posted by Jay-qu
I am not very familiar with the fibre bundle approach (a very mathematical approach) to gauge theories, that said I see what you are saying above but Im afraid I dont see the point of this argument.
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It's not an argument, I am just trying to get my head around this stuff, using the math tools at my disposal.
However, you seem to be implying that the route to gauge theories through fibre bundles, specifically principal bundles, and their connections is not the only one.
Maybe therein lies my folly - I tend to try to imagine what it might mean for an mathematical abstraction to have some sort of physical reality. Maybe I should reverse my thinking,
id est understand the physics and find the math to fit it?
That's next to impossible for me, given my background and temperament.
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Did you have a question or comment about this argument?
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Then yes: please explain the "non-bundle" approach to gauge theories as you understand it. Maybe, just maybe, I can then fit that with the math that I sort of know.
