Bundles: Difference between revisions

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|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|username=EricRWeinstein
|content=I would say the one who awes me most is...CN Yang. I don’t understand why I never hear his name as candidate. He has at least 3 of the greatest achievements: chirality for the weak force (w/ Lee), non-Abelian maxwell theory (w/ Mills), and the bundle revolution (w/ Simons/Wu).
|content=I would say the one who awes me most is...[[CN Yang]]. I don’t understand why I never hear his name as candidate. He has at least 3 of the greatest achievements: chirality for the weak force (w/ Lee), non-Abelian maxwell theory (w/ Mills), and the bundle revolution (w/ Simons/Wu).
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|content=Huh. Let’s see…
|content=Huh. Let’s see…


Standard Model: Fiber Bundle
[[Standard Model]]: [[Bundles|Fiber Bundle]]


General Relativity: Fiber Bundle
[[General Relativity]]: [[Bundles|Fiber Bundle]]


Our universe: Derived from  SM+GR
Our universe: Derived from  SM+GR
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Weird flex, but it checked out.
Weird flex, but it checked out.
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|image=joe_r_Odonnell-profile-q8PSQM7u.jpg
|nameurl=https://x.com/joe_r_Odonnell/status/1477836258906759171
|name=Joe — e/adgbe 🎸
|usernameurl=https://x.com/joe_r_Odonnell
|username=joe_r_Odonnell
|content=When all you’ve got is gauge theory, everything looks like a fiber bundle
|timestamp=2:56 AM · Jan 3, 2022
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|timestamp=1:02 AM · Jan 7, 2022
|timestamp=1:02 AM · Jan 7, 2022
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|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|username=EricRWeinstein
|content=@sluitel34 @FrankWilczek This should be in any book that discusses the standard model via groups, representations, bundles, etc.
|content=@sluitel34 @FrankWilczek This should be in any book that discusses the [[Standard Model|standard model]] via groups, representations, [[Bundles|bundles]], etc.
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|content=[Note for Curt: This is the whole point of [[Theory of Geometric Unity|Geometric Unity]]. They are three geometries. Which are all one geometry, and that is only possible in the rarest of circumstances. Which we are in oddly.  
|content=[Note for Curt: This is the whole point of [[Theory of Geometric Unity|Geometric Unity]]. They are three geometries. Which are all one geometry, and that is only possible in the rarest of circumstances. Which we are in oddly.  


Metric Geometry: General Relativity GR
Metric Geometry: [[General Relativity|General Relativity GR]]
Fiber Geometry:  Standard Model SM
[[Bundles|Fiber Geometry]][[Standard Model|Standard Model SM]]
Symplectic Geometry: Hamiltonian Quantization of the SM. ]
Symplectic Geometry: Hamiltonian Quantization of the SM. ]
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|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|username=EricRWeinstein
|content=He is correctly anticipating the Simons-Yang discovery of the “Wu Yang dictionary”.  
|content=He is correctly anticipating the Simons-Yang discovery of the [[Wu-Yang Dictionary|“Wu Yang dictionary”]].  


Maxwell became Yang Mills
Maxwell became Yang Mills</br>
Yang Mills became Simons Yang.
Yang Mills became Simons Yang.</br>
Simons Yang became the Wu Yang Dictionary.  
Simons Yang became the Wu Yang Dictionary.</br>
Wu Yang was (except for one entry) was [[Bundles|Ehressmann fiber bundle geometry]].  
[[Wu-Yang Dictionary|Wu Yang]] was (except for one entry) was [[Bundles|Ehressmann fiber bundle geometry]].  


Think of metric geometry, fiber geometry and symplectic geometry as the geometry of symmetric metric 2-tensors, [[Bundles|fiber bundle connections]] and anti-symmetric 2 tensors respectively.
Think of metric geometry, fiber geometry and symplectic geometry as the geometry of symmetric metric 2-tensors, [[Bundles|fiber bundle connections]] and anti-symmetric 2 tensors respectively.
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Peter Woit</br>
Peter Woit</br>
John Baez</br>
John Baez</br>
Ed Witten</br>
[[Ed Witten]]</br>
Luis Alvarez Gaume</br>
Luis Alvarez Gaume</br>
Dan Freed</br>
[[Dan Freed]]</br>
Jose Figueroa O’Farril
Jose Figueroa O’Farril


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The quantum is real. It’s mysterious. It’s mind blowing. And as a result it provides jobs and something to talk about when the classical theory is stagnant. But the dream of quantum theories that are born quantum never materialized. We still quantize classical theories, for all our posturing about needing to take classical limits of quantum theories.
The quantum is real. It’s mysterious. It’s mind blowing. And as a result it provides jobs and something to talk about when the classical theory is stagnant. But the dream of quantum theories that are born quantum never materialized. We still quantize classical theories, for all our posturing about needing to take classical limits of quantum theories.


Witten in particular popularized the notion that the incompatiblity between General Relativity and the Standard Model is a Classical vs Quantum problem. He’s wrong.  
[[Ed Witten|Witten]] in particular popularized the notion that the incompatiblity between General Relativity and the Standard Model is a Classical vs Quantum problem. He’s wrong.  


The Classical GR theory is already incompatible with the Classical Standard Model. The incompatibility is already classical: NOT Quantum.
The Classical GR theory is already incompatible with the Classical Standard Model. The incompatibility is already classical: NOT Quantum.
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|content=Hi Matt.  
|content=Hi Matt.  


Sam regularly portrays himself as outraged about 'angry' or 'dissatisfied' or otherwise 'upset' voices and insinuates that they are turning to sensationalism. I furnished two (of very many) cases that folks like Sam would find absolutely outrageous if the real concern was damaging science with sensationalism, and which cause *far* more harm to fundamental physics than independent voices like Sabine Hossenfelder.
Sam regularly portrays himself as outraged about 'angry' or 'dissatisfied' or otherwise 'upset' voices and insinuates that they are turning to sensationalism. I furnished two (of very many) cases that folks like Sam would find absolutely outrageous if the real concern was damaging science with sensationalism, and which cause *far* more harm to fundamental physics than independent voices like [[Sabine Hossenfelder]].


SG is a brand on line. A guy who tries to make the establishment seem 'edgy'...often by targeting people who are raising the real issues with the institutions.
SG is a brand on line. A guy who tries to make the establishment seem 'edgy'...often by targeting people who are raising the real issues with the institutions.