Bundles: Difference between revisions

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=== 2022 ===
=== 2022 ===


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|content=Huh. Let’s see…
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Standard Model: Fiber Bundle
 
General Relativity: Fiber Bundle
 
Our universe: Derived from  SM+GR
 
So…uh…yeah. So far. Crazy right?
 
Weird flex, but it checked out.
|timestamp=1:02 AM · Jan 7, 2022
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|content=In essence this is happening every time “you” move. When you see spectators doing “The Wave” the spectators are the medium. They don’t move with the wave.
 
You are a wave. You excite a totally different portion of the medium wherever you go. That medium is called a vector bundle.
|timestamp=5:41 PM · Mar 11, 2022
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|content=@CreatedInTheD The atom moves through space. But as a wave. If a wave moves through a small oil slick, the oil slick doesn’t move with the wave. It briefly rises &amp; falls in place when excited. The medium doesn’t move. The thing that moves is the atom. The thing that stays is the Vector bundle.
|timestamp=5:25 PM · Mar 12, 2022
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|content=@sluitel34 @FrankWilczek This should be in any book that discusses the standard model via groups, representations, bundles, etc.
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|content=A surprisingly deep simple question.
 
There appears to be a mysterious circle at every point in spacetime which physicists accept but cannot explain. And, every type of particle is endowed w/ a mysterious complementary ⭕️. The spacetime ⭕️ rotates the particle’s sympathetically.
|timestamp=9:05 PM · Jul 28, 2022
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|content=The charge on the particle is the gearing ratio of the
spacetime ⭕️ with the particle’s ⭕️. It’s like a bicycle where the pedal gear⚙️ is the spacetime ⭕️ and the particle ⭕️ is the rear wheel ⚙️. Positive charge is clockwise drive. Negative charge is counterclockwise.
|timestamp=9:05 PM · Jul 28, 2022
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|content=An electrically neutral particle is like a particle not having a chain hooked up between the pedal and wheel. So a +2/3 Up Quark will be driven around 2 times clockwise for every three times an electron goes counter-clockwise with charge -1=-3/3.


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That may sound weird. So be it.
|timestamp=9:05 PM · Jul 28, 2022
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|content=@TEMguru That U(1) is the circle at every point in space time. It’s minimal gauge coupling via a character is the chain between the gears. C’mon.
|timestamp=10:03 PM · Jul 28, 2022
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|content=Uh. That’s *exactly* how it’s done. There is a principal U(1) (circle) bundle. But it isn’t the U(1) that you refer to which is weak-hypercharge. And the analogy makes perfect sense based on internal quantum number
 
\chi_n:U(1) —&gt; Aut(C)
 
before tensoring with the spinor bundles.
|timestamp=2:48 AM · Jul 29, 2022
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|content=Let me just say that there is a community of academics who throw a lot of nasty anti-collegial scientific shade that just isn’t scientifically accurate. Don’t know what to do about that. These people try to cast a spell of Fear Uncertainty and Doubt.
 
I stand by what I say here.
|timestamp=2:53 AM · Jul 29, 2022
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|content=@sluitel34 Let me help you then. You have a group:
 
G=SU(3) x SU(2) x U(1)
 
And a homomorphism:
 
rho: G —&gt; U(16)
 
So
 
Spin(1,3) x G —&gt; SL(2,C) x U(16)
 
represents on C^2 tensor C^16, and its conjugate, to give one generation of the Fermions (with Right handed neutrinos assumed). With me?
|timestamp=3:11 AM · Jul 29, 2022
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|content=@sluitel34 Now the U(1) ⭕️ of the original description lives inside the SU(2) x U(1) via bundle reduction or symmetry breaking as you see fit. The gearing ratio I mentioned is simply the integer indexing all irreducible representations of U(1) which are all 1-dimensional characters. Clear?
|timestamp=3:14 AM · Jul 29, 2022
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|content=@sluitel34 Every U(1) character can be visualized as two circular gears connected by a chain with some integer ratio of the circumferences. Negative integer representations are ones with the chain having a half twist. The trivial representation has no chain at all.
 
Hope that helps.
|timestamp=3:19 AM · Jul 29, 2022
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|content=@sluitel34 @FrankWilczek Not true at all. @FrankWilczek correctly points out that there is something super compelling about SO(10) Grand Unified Theory. Both space time and internal representations are spinorial if this is true.
 
I just don’t know from what position  you’re speaking so authoritatively.
|timestamp=3:24 AM · Jul 29, 2022
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|timestamp=3:25 AM · Jul 29, 2022
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|content=@WKCosmo @PasseVivant It’s a decent first answer for dynamics as in Hamiltonian systems. But there are a lot of places where symmetries intrude where that simple answer seems less convincing. Principal bundle structure groups for example. Or discrete symmetries. Etc. Etc.
|timestamp=10:03 PM · Aug 4, 2022
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|content=@WKCosmo @PasseVivant Uh, no. Is “Structure group of a principal bundle” or “Discrete group” buzzwords to you? That doesn’t sound like a physicist to me.
 
Sorry. I’ll move on. I thought this was a Professional conversation. Be well. Bye.
|timestamp=10:18 PM · Aug 5, 2022
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Why?
Why?
🙏 https://t.co/l8zRhhMZEu
🙏
|timestamp=11:13 PM · Aug 28, 2022
|timestamp=11:13 PM · Aug 28, 2022
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|content=The short answer is “You appear to be a wave in a structure called a Fiber Bundle.” of which many have never heard.
|content=The short answer is “You appear to be a wave in a structure called a Fiber Bundle.” of which many have never heard.


I talk about Fiber Bundles a lot because they appear to underlie all of existence, and am thus very confused by physicists who don’t discuss them. It’s so odd. https://t.co/QwLeBEkbLL
I talk about Fiber Bundles a lot because they appear to underlie all of existence, and am thus very confused by physicists who don’t discuss them. It’s so odd.
|timestamp=11:28 PM · Aug 28, 2022
|timestamp=11:28 PM · Aug 28, 2022
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|content=@McLuhanStates @LueElizondo There is a lot of loose talk about dimensionality. Keep in mind that I have zero direct evidence of the phenomena. So this is wildly premature.
 
My interest here is that GU replaces one manifold with two in a bundle structure and adds BOTH temporal and spatial dimensions.
|timestamp=11:24 PM · Oct 24, 2022
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|content=Q5: So let’s see. Inflation is a field like temperature. But a field in a fiber bundle over ♾-dimensional path spaces of loops of preferences/prices valued in non-commuting groups leading to non linearities not addressed by economists? What about actual geography!”
 
A5: Fair. 👍
|timestamp=4:05 PM · Nov 6, 2022
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=== 2023 ===
=== 2023 ===