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{{#widget:Tweet|id=980671434153275393}}
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|image=Eric profile picture.jpg
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|nameurl=https://x.com/EricRWeinstein/status/4118990218
{{#widget:Tweet|id=980683552487440384}}
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=In Econ. Krugman is the master chef who can start with deadly pufferfish and dependably prepare elegant fugu thats safe to eat.
|thread=
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/4118385737
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=There are three careers in modern physics of which I am envious. The other two are Yang and Dirac. In math: [[Isadore Singer|Singer]], [[Ed Witten|Witten]], Attiyah, [[Raoul Bott|Bott]]...
|timestamp=5:05 AM · Sep 20, 2009
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/4118560452
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=And what about Jim Simons? Other than Chern Simons he did amazing stuff. Wu-Yang ...and that holonomy theorem of Berger was first rate.
|timestamp=5:18 AM · Sep 20, 2009
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/4118623731
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=Anyone else appreciate that [[Jim Simons]] redoing Berger's list of holonomy groups to prove intrinsic sphere transitivity? An artist's theorem.
|timestamp=5:23 AM · Sep 20, 2009
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/4118705638
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=Someone else I admire: [[Dan Freed]] at Austin. Dan never gets all the credit he deserves. Every paper nails some loose end for the community.
|timestamp=5:29 AM · Sep 20, 2009
}}
|timestamp=5:51 AM · Sep 20, 2009
}}


{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980687868648566784
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=END/ I am sorry that this was a bit technical for lay folks and not technical enough for experts, but it's twitter. I may begin to say more in the weeks and months ahead that may be clarifying.
If you are interested, do stay tuned. Until then, I thank you for your time.
|thread=
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980669687313850368
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=1/ APRIL FOOLS' SCIENCE: Theory into Practice.
I was challenged by someone as to why I wasn't taking my own medicine referenced in the sub-tweet below this April 1st.  Ok. Here goes.
What I believe about the universe that is quite different and why I don't talk about it much... https://t.co/RjqRGc5J9m
|timestamp=4:54 AM · Apr 2, 2018
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980671434153275393
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=2/ When I was around 16-17, I learned of a story that fascinated me much more than it seemed to captivate any other mathematician or physicist. It was the story of the discovery of the [[Wu-Yang Dictionary|"Wu-Yang" dictionary]] around 1975-6, involving 3 super-minds: [[Jim Simons]], [[CN Yang]] & [[Isadore Singer|Is Singer]].
|timestamp=5:01 AM · Apr 2, 2018
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980673146398244865
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=3/ What was learned was that the Quantum of Planck, Bohr
& Dirac was built on an internal Geometry, just as surely as [[General Relativity]] was built on an external geometry of space-time. Only the two geometries weren't the same! One was due to B Riemann; the other to C Ehresmann.
|timestamp=5:07 AM · Apr 2, 2018
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980674834215481344
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=4/ Further the 2 geometries had different advantages. Riemann's geometry allowed you to compress the curvature & measure the 'torsion' while Ehresmann's encouraged "Gauge Rotation"... as long as you didn't do either of those two things. So I asked could the geometries be unified?
|timestamp=5:14 AM · Apr 2, 2018
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980677084094783489
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=5/ This would be a change in physics' main question. Instead of asking if Einstein's gravity could fit within Bohr's quantum, we could ask "Could Einstein's structures peculiar to Riemann's geometry be unified & rotated within Ehresmann's?" The answer was almost a 'No!'
Almost.
|timestamp=5:23 AM · Apr 2, 2018
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980680721353199618
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=6/ While physicists said the Universe was known to be chiral, I came to believe it was fundamentally symmetric. While we seemed to observe there being 3 or more generations of matter, I came to believe that there were but 2 true generations, plus an improbable "imposter." etc...
|timestamp=5:37 AM · Apr 2, 2018
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980682507107602432
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=7/ In short a great many things had to be slightly off in our picture of the world in the 1980s to get the two geometric theories into a "Geometric Unity." Then in 1998, it was found that neutrinos weren't massless! This started to tip the scales towards the alterations I needed.
|timestamp=5:45 AM · Apr 2, 2018
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980683552487440384
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=8/ In short the April 1st "trick" that is being played on me is that I see a *natural* theory where chirality would be emergent (not fundamental), the number of true generations would be 2 not 3, there would be 2^4 and not 15 Fermions in a generation, and the geometries unify.
|timestamp=5:49 AM · Apr 2, 2018
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/980686736375164928
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=9/ I spoke on this nearly 5 years ago; I have been slow to get back to it as I found the physics response bewildering. I have now decided to return to this work & to disposition it. So over the coming year, I'll begin pushing out "Geometric Unity" (as a non-physicist) to experts.
|timestamp=6:01 AM · Apr 2, 2018
|media1=DZwWjUgUMAAcOnr.jpg
}}
|timestamp=6:06 AM · Apr 2, 2018
}}
== Related Pages ==
* [[CN Yang]]
* [[Einstein's Revenge: The New Geometric Quantum (Edge Essay)]]
* [[Jim Simons]]
* [[Gauge Theory and Inflation: Enlarging the Wu-Yang Dictionary (YouTube Content)]]
* [https://en.wikipedia.org/wiki/Yang_Chen-Ning C. N. Yang on Wikipedia]
* [https://en.wikipedia.org/wiki/Yang_Chen-Ning C. N. Yang on Wikipedia]
* [http://www.math.stonybrook.edu/events/simons/general.html XIII Geometry Festival (Stony Brook)]
* [http://www.math.stonybrook.edu/events/simons/general.html XIII Geometry Festival (Stony Brook)]


{{Stub}}


[[Category:Concepts]]
[[Category:Concepts]]
[[Category:Mathematics]]
[[Category:Mathematics]]

Revision as of 18:13, 26 November 2025

Wu-Yang-1975.png
Wu-Yang-1975-dictionary.png
Eric profile picture.jpg
Eric Weinstein

There are three careers in modern physics of which I am envious. The other two are Yang and Dirac. In math: Singer, Witten, Attiyah, Bott...

5:05 AM · Sep 20, 2009
Eric profile picture.jpg
Eric Weinstein

And what about Jim Simons? Other than Chern Simons he did amazing stuff. Wu-Yang ...and that holonomy theorem of Berger was first rate.

5:18 AM · Sep 20, 2009
Eric profile picture.jpg
Eric Weinstein

Anyone else appreciate that Jim Simons redoing Berger's list of holonomy groups to prove intrinsic sphere transitivity? An artist's theorem.

5:23 AM · Sep 20, 2009
Eric profile picture.jpg
Eric Weinstein

Someone else I admire: Dan Freed at Austin. Dan never gets all the credit he deserves. Every paper nails some loose end for the community.

5:29 AM · Sep 20, 2009
Eric profile picture.jpg
Eric Weinstein

In Econ. Krugman is the master chef who can start with deadly pufferfish and dependably prepare elegant fugu thats safe to eat.

5:51 AM · Sep 20, 2009


Eric profile picture.jpg
Eric Weinstein

1/ APRIL FOOLS' SCIENCE: Theory into Practice.

I was challenged by someone as to why I wasn't taking my own medicine referenced in the sub-tweet below this April 1st. Ok. Here goes.

What I believe about the universe that is quite different and why I don't talk about it much... https://t.co/RjqRGc5J9m

4:54 AM · Apr 2, 2018
Eric profile picture.jpg
Eric Weinstein

2/ When I was around 16-17, I learned of a story that fascinated me much more than it seemed to captivate any other mathematician or physicist. It was the story of the discovery of the "Wu-Yang" dictionary around 1975-6, involving 3 super-minds: Jim Simons, CN Yang & Is Singer.

5:01 AM · Apr 2, 2018
Eric profile picture.jpg
Eric Weinstein

3/ What was learned was that the Quantum of Planck, Bohr & Dirac was built on an internal Geometry, just as surely as General Relativity was built on an external geometry of space-time. Only the two geometries weren't the same! One was due to B Riemann; the other to C Ehresmann.

5:07 AM · Apr 2, 2018
Eric profile picture.jpg
Eric Weinstein

4/ Further the 2 geometries had different advantages. Riemann's geometry allowed you to compress the curvature & measure the 'torsion' while Ehresmann's encouraged "Gauge Rotation"... as long as you didn't do either of those two things. So I asked could the geometries be unified?

5:14 AM · Apr 2, 2018
Eric profile picture.jpg
Eric Weinstein

5/ This would be a change in physics' main question. Instead of asking if Einstein's gravity could fit within Bohr's quantum, we could ask "Could Einstein's structures peculiar to Riemann's geometry be unified & rotated within Ehresmann's?" The answer was almost a 'No!'

Almost.

5:23 AM · Apr 2, 2018
Eric profile picture.jpg
Eric Weinstein

6/ While physicists said the Universe was known to be chiral, I came to believe it was fundamentally symmetric. While we seemed to observe there being 3 or more generations of matter, I came to believe that there were but 2 true generations, plus an improbable "imposter." etc...

5:37 AM · Apr 2, 2018
Eric profile picture.jpg
Eric Weinstein

7/ In short a great many things had to be slightly off in our picture of the world in the 1980s to get the two geometric theories into a "Geometric Unity." Then in 1998, it was found that neutrinos weren't massless! This started to tip the scales towards the alterations I needed.

5:45 AM · Apr 2, 2018
Eric profile picture.jpg
Eric Weinstein

8/ In short the April 1st "trick" that is being played on me is that I see a *natural* theory where chirality would be emergent (not fundamental), the number of true generations would be 2 not 3, there would be 2^4 and not 15 Fermions in a generation, and the geometries unify.

5:49 AM · Apr 2, 2018
Eric profile picture.jpg
Eric Weinstein

9/ I spoke on this nearly 5 years ago; I have been slow to get back to it as I found the physics response bewildering. I have now decided to return to this work & to disposition it. So over the coming year, I'll begin pushing out "Geometric Unity" (as a non-physicist) to experts.

DZwWjUgUMAAcOnr.jpg
6:01 AM · Apr 2, 2018
Eric profile picture.jpg
Eric Weinstein

END/ I am sorry that this was a bit technical for lay folks and not technical enough for experts, but it's twitter. I may begin to say more in the weeks and months ahead that may be clarifying.

If you are interested, do stay tuned. Until then, I thank you for your time.

6:06 AM · Apr 2, 2018

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