Editing Bundles (section)

=== 2020 ===

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|name=Eric Weinstein
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|content=Melanie, you‘re one of my favorite stable wave collections co-propagating along the base-space of this twisted chiral Spinor bundle we call reality.

It seems a crime to waste our time discussing “Many-Worlds” or “String Theory” over the geometric beauty of our existence. Thanks!
|timestamp=5:10 PM · Jan 25, 2020
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|content=@NoGodOnlyReason Because it is likely the most familiar of any designs that one can put on a round sphere. It’s merely an aid to show that there is a regular two dimensional sphere in this three dimensional mix.
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|content=Gauge Symmetry is essentially the study of horizontal cross-sections to those circles pictured in the GIF under *variable* amounts of rotation of the circles themselves.

Don’t know why no one seems to say things like that...but that’s what it is.
|timestamp=7:15 PM · Nov 14, 2020
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|content=As for the “definition” given...

1st: The GIF pictured is a bundle, but NOT a vector bundle. It is called a Principal Bundle. If you want a vector bundle think Möbius band.

2nd: The horizontal cross section I mentioned are used to create the differential operators they mention.
|timestamp=7:24 PM · Nov 14, 2020
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|content=3rd: The “functions” which get differentiated by the operators are called “Sections”. They are not pictured here. 

Hope this helps. But you are looking at an actual gauge theoretic structure. This is the real thing and not an analogy. That’s why I use it to explain this all. 🙏
|timestamp=7:24 PM · Nov 14, 2020
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|content=@katoi In fact it is. This bundle pictured is the 720 degree double cover of the 360 degree regular rotation bundle. 

This is the “Spin double cover of the orthonormal frame bundle of the sphere.” 

If you will.
|timestamp=7:26 PM · Nov 14, 2020
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|content=@Chrisfalchen That concept of a bundle structure is our most fundamental picture of reality.
|timestamp=7:27 PM · Nov 14, 2020
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|content=@natanlidukhover Circles are 1-dimensional manifolds depicted in 2-dimensional planes. Mathematicians count dimensions differently.
|timestamp=7:29 PM · Nov 14, 2020
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|timestamp=7:51 PM · Nov 14, 2020
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