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=== Prime Directive ===
=== Prime Directive ===
<blockquote style="width: 600px; text-align: center; margin-left: auto; margin-right: auto; font-size: 125%; background: #f3f3ff; border-color: #ddd;">
<blockquote style="width: 600px; text-align: center; margin-left: auto; margin-right: auto; font-size: 125%;>
A request:
A request:


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=== Graph ===
=== Graph ===
The Graph is a paragraph from Edward Witten's 1987 paper [https://cds.cern.ch/record/181783/files/cer-000093203.pdf Physics and Geometry] at the bottom of page 20. In language it concisely encodes the general structure of reality:
The Graph is a paragraph from Edward Witten's 1987 paper [https://cds.cern.ch/record/181783/files/cer-000093203.pdf Physics and Geometry] at the bottom of page 20. In language it concisely encodes the general structure of reality:
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<blockquote style="font-size: 125%;">
<blockquote style="max-width:575px; min-width:300px; font-size: 125%; background: #f3f3ff; border-color: #ddd;">
If one wants to summarize our knowledge of physics in the briefest possible terms, there are three really fundamental observations:
If one wants to summarize our knowledge of physics in the briefest possible terms, there are three really fundamental observations:


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(ii) Over <math>M</math> is a vector bundle <math>X</math> with a non-abelian gauge group <math>G</math>.
(ii) Over <math>M</math> is a vector bundle <math>X</math> with a non-abelian gauge group <math>G</math>.


(iii) Fermions are sections of <math>(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}_{-} \otimes V_{\tilde{R}})</math>. <math>R</math> and <math>\tilde{R}</math> are not isomorphic; their failure to be isomorphic explains why the light fermions are light and presumably has its origins in representation difference <math>\Delta</math> in some underlying theory.
(iii) Fermions are sections of <math>(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}_{-} \otimes V_{\tilde{R}})</math>. <math>R</math> and <math>\tilde{R}</math> are not isomorphic; their failure to be isomorphic explains why the light fermions are light and presumably has its origins in a representation difference <math>\Delta</math> in some underlying theory.


All of this must be supplemented with the understanding that the geometrical laws obeyed by the metric tensor, the gauge fields, and the fermions are to be interpreted in quantum mechanical terms.
All of this must be supplemented with the understanding that the geometrical laws obeyed by the metric tensor, the gauge fields, and the fermions are to be interpreted in quantum mechanical terms.
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<div style="text-align: center">
Scan of the original paragraph:
[[File:The-graph.png|class=shadow|650px]]
[[File:The-graph.png|class=shadow|650px]]
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Implicit in each respective section is:
Implicit in each respective section is:
# Spin-2 Force Field for Gravity, the Einstein Field Equations
# Spin-2 Force Field for Gravity, the Einstein Field Equations
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Note that the quantum (e.g. quantum mechanics, quantum field theory, quantum measurement, etc...) is mentioned only after the key geometric insights.
Note that the quantum (e.g. quantum mechanics, quantum field theory, quantum measurement, etc...) is mentioned only after the key geometric insights.
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/928318499197353984
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=End/ An interpretation is that [[Ed Witten|Witten]], the greatest living mathematical physicist, was indicating to us that it was only these *abstractions* that were likely to survive, while the instantiations (i.e. the exact equations we still use) would likely perish.
A msg never recieived.
|thread=
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/928296366853328896
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=If I had but one paragraph to recommend as the most important in all of literature, it might well be this one. However, as you might imagine, unpacking it, could take up your entire life.
[There is a 'flaw' in the paragraph. The word '[[Gauge Theory|gauge]]' should be replaced by
'structure'.]
|media1=ERW-X-post-928296366853328896-DOE8P81U8AA_MBe.jpg
|timestamp=4:21 PM · Nov 8, 2017
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/928316410303877120
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=1/ Interesting esoteric features: </br>
i) refers to Einstein Field Equation for the gravitational force. (only implicitly).</br>
ii) refers to the Yang-Mills-Maxwell Equation for the other forces (only implicitly).</br>
iii) refers to the Dirac Equation for matter (yet again, only implicitly).
|timestamp=5:40 PM · Nov 8, 2017
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/928317163491835904
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=2/ The Quantum (e.g. quantum mechanics, [[Quantum Field Theory|quantum field theory]], quantum measurement, etc...) is relegated to a *secondary* status below the key geometric insights. This was likely done very subtly when the paper was given in the 1980s, as it was, and remains, a revolutionary idea.
|timestamp=5:43 PM · Nov 8, 2017
}}
|timestamp=5:49 PM · Nov 8, 2017
}}


=== Wall ===
=== Wall ===
The [http://www.math.stonybrook.edu/~tony/scgp/wall-story/wall-story.html following image] is carved into a wall at Stony Brook University, completed and unveiled in May 2015. It contains many equations and mathematical results that have contributed to the human understanding of reality. In specific relation to the Graph, there are the Einstein Field Equations (item 5), the Yang-Mills Equations (item 9), and the Dirac Equation (item 7).
The image below is [http://www.math.stonybrook.edu/~tony/scgp/wall-story/wall-story.html carved into a wall at Stony Brook University], completed and unveiled in May 2015. It contains many equations and mathematical results that have contributed to the human understanding of reality. In specific relation to the Graph, there are the Einstein Field Equations (item 5), the Yang-Mills Equations (item 9), and the Dirac Equation (item 7).
<div style="text-align: center;">'''[https://dev.theportal.dev/wall/ Click here for an interactive version of the Wall]'''</div>
 
<!-- <div style="text-align: center;">'''[https://dev.theportal.dev/wall/ Click here for an interactive version of the Wall]'''</div> -->


<gallery mode="packed" heights=600px>
<gallery mode="packed" heights=600px>
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* [https://www.amazon.com/Road-Reality-Complete-Guide-Universe/dp/0679776311 The Road to Reality by Sir Roger Penrose]
* [https://www.amazon.com/Road-Reality-Complete-Guide-Universe/dp/0679776311 The Road to Reality by Sir Roger Penrose]


== Related Material ==
== Related Pages ==
* [[Cell decomposition of torus; Euler characteristic; Gauss-Bonnet formula.]]
* [https://twitter.com/EricRWeinstein/status/928296366853328896 Eric's tweets about the Graph]
* [https://twitter.com/EricRWeinstein/status/928296366853328896 Eric's tweets about the Graph]
* [[20: Sir Roger Penrose - Plotting the Twist of Einstein’s Legacy|Roger Penrose on The Portal Podcast]]
* [[20: Sir Roger Penrose - Plotting the Twist of Einstein’s Legacy|Roger Penrose on The Portal Podcast]]
* [[15: Garrett Lisi - My Arch-nemesis, Myself|Garrett Lisi on The Portal Podcast]]
* [[15: Garrett Lisi - My Arch-nemesis, Myself|Garrett Lisi on The Portal Podcast]]
* [[14: London Tsai - The Reclusive Dean of The New Escherians|London Tsai on The Portal Podcast]]
* [[14: London Tsai - The Reclusive Dean of The New Escherians|London Tsai on The Portal Podcast]]
* [[A Portal Special Presentation- Geometric Unity: A First Look|Geometric Unity First Presentation]]
* [[A Portal Special Presentation- Geometric Unity: A First Look]]
* [[Theory of Geometric Unity]]
* [[Theory of Geometric Unity]]
* [https://www.youtube.com/watch?v=o2nG7-eXxko Eric on the Lex Fridman Podcast 134]
* [https://www.youtube.com/watch?v=o2nG7-eXxko Eric on the Lex Fridman Podcast 134]
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{{SHORTDESC:A holistic view of math and physics}}
{{SHORTDESC:A holistic view of math and physics}}
{{#related: All Episodes}}
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