Bundles: Difference between revisions

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2009

Meanwhile, as for the Euler Class, we often meet it as a *top* class for the tangent bundle thereby prohibiting seeing it as a square root.

2:41 AM · Sep 4, 2009

Eric Weinstein

@EricRWeinstein

Additionally, Vilfredo Pareto's move towards ordinal utility can be seen as imparting a non-abelian bundle structure to welfare.

4:33 AM · Oct 5, 2009

2010

Eric Weinstein

@EricRWeinstein

Note to Geometers: A depiction of a fiber bundle is shared by both the US Senate seal and the Fascist Flag.

Odd, that.

8:20 PM · Jan 2, 2010

Eric Weinstein

@EricRWeinstein

GU: Don't conflate Spin 0 fields valued in the adjoint bundle / non-linear sigma models w/ higgs at LHC. Nature uses Spin 0 alternatively.

6:21 AM · Jan 27, 2010

Eric Weinstein

@EricRWeinstein

The definition of "tangent bundle" is a good example of how mathematical precision makes even the visual incomprehensible.

1:43 PM · Mar 13, 2010

Eric Weinstein

@EricRWeinstein

The definition of 'line bundle' is a good example of how mathematical precision makes even the incomprehensible physics 'anomaly' visual.

1:48 PM · Mar 13, 2010

2018

2019

2020

2021

2022

Eric Weinstein

@EricRWeinstein

According to physics, you’re a wave. A conscious wave.

As a conscious wave, you were curious as a child. The most natural question for a conscious wave is probably “If I’m but a conscious wave, in what medium am I an excitation?”

Yet most waves never ask this question.

Why? 🙏 https://t.co/l8zRhhMZEu

File:FbSLeeWXoAMR1Qt.jpg

11:13 PM · Aug 28, 2022

Eric Weinstein

@EricRWeinstein

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

File:FbSO63sagAATzm7.jpg

11:28 PM · Aug 28, 2022

Eric Weinstein

@EricRWeinstein

For years this has been the leading image of a fiber bundle on Google Image search. This I take as proof that the human race is slightly insane: Our leading image of the underlying medium of existence itself looks to me like a bandaid/plaster that has been ripped off a hairy arm.

11:28 PM · Aug 28, 2022

Eric Weinstein

@EricRWeinstein

We created this picture so that you would have a picture of what a “Fiber Bundle with Gauge Potential” actually is. So that everyone could see in what type of structure they actually vibrate.

So far as I know, this is the only animation of its kind:

11:39 PM · Aug 28, 2022

Eric Weinstein

@EricRWeinstein

Would love to get back to explaining things about the true wonder of our existence.

If you are fascinated by Entanglement, Quantum Weirdness, Relativity Theory, The Multiverse, String Theory etc, most of you would be better served studying fiber bundles:

11:48 PM · Aug 28, 2022

2023

2024

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+=== 2009 ===
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+|username=EricRWeinstein
+|content=Meanwhile, as for the Euler Class, we often meet it as a *top* class for the tangent bundle thereby prohibiting seeing it as a square root.
+|timestamp=2:41 AM · Sep 4, 2009
+}}
+{{Tweet
+|image=Eric profile picture.jpg
+|nameurl=https://x.com/EricRWeinstein/status/4620998495
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|content=Additionally,  Vilfredo Pareto's move towards ordinal utility can be seen as imparting a non-abelian bundle structure to welfare.
+|timestamp=4:33 AM · Oct 5, 2009
+}}
+=== 2010 ===
+{{Tweet
+|image=Eric profile picture.jpg
+|nameurl=https://x.com/EricRWeinstein/status/7308752233
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|content=Note to Geometers: A depiction of a fiber bundle is shared by both the US Senate seal and the Fascist Flag.
+Odd, that.
+|timestamp=8:20 PM · Jan 2, 2010
+}}
+{{Tweet
+|image=Eric profile picture.jpg
+|nameurl=https://x.com/EricRWeinstein/status/8269427373
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|content=GU: Don't conflate Spin 0 fields valued in the adjoint bundle / non-linear sigma models w/ higgs at LHC. Nature uses Spin 0 alternatively.
+|timestamp=6:21 AM · Jan 27, 2010
+}}
+{{Tweet
+|image=Eric profile picture.jpg
+|nameurl=https://x.com/EricRWeinstein/status/10422166312
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|content=The definition of "tangent bundle" is a good example of how mathematical precision makes even the visual incomprehensible.
+|timestamp=1:43 PM · Mar 13, 2010
+}}
+{{Tweet
+|image=Eric profile picture.jpg
+|nameurl=https://x.com/EricRWeinstein/status/10422305914
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|content=The definition of 'line bundle' is a good example of how mathematical precision makes even the incomprehensible physics 'anomaly' visual.
+|timestamp=1:48 PM · Mar 13, 2010
+}}
+=== 2018 ===
 {{#widget:Tweet|id=1053028975750995968}}
 {{#widget:Tweet|id=1064936930998009856}}
+=== 2019 ===
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+=== 2020 ===
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+=== 2021 ===
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@@ Line 18: / Line 95: @@
 {{#widget:Tweet|id=1389740901224779782}}
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+=== 2022 ===
+<!--
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+{{Tweet
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+|nameurl=https://x.com/EricRWeinstein/status/1564037222738771970
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|content=Would love to get back to explaining things about the true wonder of our existence.
+If you are fascinated by Entanglement, Quantum Weirdness, Relativity Theory, The Multiverse, String Theory etc, most of you would be better served studying fiber bundles:
+{{#widget:YouTube|id=HRrsfRaXzhE}}
+|thread=
+{{Tweet
+|image=Eric profile picture.jpg
+|nameurl=https://x.com/EricRWeinstein/status/1564028332550676480
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|content=According to physics, you’re a wave. A conscious wave.
+As a conscious wave, you were curious as a child. The most natural question for a conscious wave is probably “If I’m but a conscious wave, in what medium am I an excitation?”
+Yet most waves never ask this question.
+Why?
+🙏 https://t.co/l8zRhhMZEu
+|timestamp=11:13 PM · Aug 28, 2022
+|media1=FbSLeeWXoAMR1Qt.jpg
+}}
+{{Tweet
+|image=Eric profile picture.jpg
+|nameurl=https://x.com/EricRWeinstein/status/1564032123798884353
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|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
+|timestamp=11:28 PM · Aug 28, 2022
+|media1=FbSO63sagAATzm7.jpg
+}}
+{{Tweet
+|image=Eric profile picture.jpg
+|nameurl=https://x.com/EricRWeinstein/status/1564032128546787328
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|content=For years this has been the leading image of a fiber bundle on Google Image search. This I take as proof that the human race is slightly insane: Our leading image of the underlying medium of existence itself looks to me like a bandaid/plaster that has been ripped off a hairy arm.
+|timestamp=11:28 PM · Aug 28, 2022
+|media1=ERW-X-post-1564032128546787328-FbSO7ptUsAEprSW.jpg
+}}
+{{Tweet
+|image=Eric profile picture.jpg
+|nameurl=https://x.com/EricRWeinstein/status/1564035074152026115
+|name=Eric Weinstein
+|usernameurl=https://x.com/EricRWeinstein
+|username=EricRWeinstein
+|content=We created this picture so that you would have a picture of what a “Fiber Bundle with Gauge Potential” actually is. So that everyone could see in what type of structure they actually vibrate.
+So far as I know, this is the only animation of its kind:
+{{#widget:YouTube|id=fmDWCQs1bGI}}
+|timestamp=11:39 PM · Aug 28, 2022
+}}
+|timestamp=11:48 PM · Aug 28, 2022
+}}
 {{#widget:Tweet|id=1584687193599401985}}
 {{#widget:Tweet|id=1589287920971968512}}
+=== 2023 ===
 {{#widget:Tweet|id=1621911660092067844}}
 {{#widget:Tweet|id=1629289090997690369}}
 {{#widget:Tweet|id=1658484385803542529}}
+=== 2024 ===
 {{#widget:Tweet|id=1758203447554507020}}
 {{#widget:Tweet|id=1773060553411641673}}
-{{stub}}
 [[Category:Mathematics]]
 [[Category:Physics]]
 [[Category:Portal Topics]]