A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions

A Portal Special Presentation- Geometric Unity: A First Look (edit)

No change in size , 27 June 2020

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 <p>[01:24:06] So when I was thinking about this, I used to be amazed by ships in bottles. I must confess that I never figured out what the trick was for ships in bottles, but once I saw it, I remembered thinking, that's really clever. So if you've never seen it, you have a ship, which is like a curvature tensor. And imagine that the mast is the Ricci curvature.
-<p>[01:24:30] If you just try to shove it into the bottle, you're undoubtedly going to snap the mast. So, you imagine that you've transformed your gauge fields, you've kept track of where the Ricci curvature was, uou try to push it from one space, like ad-valued two-forms into another space like ad-valued one-forms, where connections live.
+<p>[01:24:30] If you just try to shove it into the bottle, you're undoubtedly going to snap the mast. So, you imagine that you've transformed your gauge fields, you've kept track of where the Ricci curvature was, you try to push it from one space, like ad-valued two-forms into another space like ad-valued one-forms, where connections live.
 <p>[01:24:54] That's not a good idea. Instead, what we do is the following: imagine that you're carrying around group theoretic information and what you do is you do a transformation based on the group theory. So you lower the mast. You push it through the neck, having some string attached to the mast, and then you undo the transformation on the other side.