Difference between revisions of "User:ConceptHut"

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[[Russel Conjugations Rewrite]]
Russel Conjugations
* Adding fuel to the fire


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== The Graph ==
== The Graph ==


This is the version of "the paragraph" by Edward Witten [https://twitter.com/EricRWeinstein/status/928296366853328896?s=20 posted by Eric via Twitter].
This is the original version of "the paragraph" by Edward Witten that was [https://twitter.com/EricRWeinstein/status/928296366853328896?s=20 posted by Eric via Twitter].


[[file:The-graph.png|600px]]
[[file:The-graph.png|600px]]
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Eric Weinstein suggested several alterations:
Eric Weinstein suggested several alterations:


* In (ii), “vector bundle X” should be changed to principal G-bundle.
* In (ii), “vector bundle X” should be changed to "principal G-bundle".
* Also in (ii), “nonabelian gauge group G” should be changed to nonabelian structure group G.
* Also in (ii), “nonabelian gauge group G” should be changed to "nonabelian structure group G".
* In (iii), <math>\ R</math> and <math>\tilde R</math> should be (complex) linear representations of G and so they are not equivalent.
* In (iii), <math>\ R</math> and <math>\tilde R</math> should be (complex) linear representations of G and so they are not equivalent.
* He mentioned that some info was not required, and that higgs is remarkably absent.
* He mentioned that some info was not required, and that higgs is remarkably absent.

Latest revision as of 23:09, 5 March 2020

SANDBOXING BELOW LINE

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Russel Conjugations Rewrite

Russel Conjugations

  • Adding fuel to the fire

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The Graph

This is the original version of "the paragraph" by Edward Witten that was posted by Eric via Twitter.

The-graph.png

Edward Witten (original)

If one wants to summarize our knowledge of physics in the briefest possible terms, there are three really fundamental observations:

  1. Spacetime is a pseudo-Riemannian manifold : $$M$$, endowed with a metric tensor and governed by geometrical laws.
  2. Over $$M$$ is a vector bundle : $$X$$, with a non-abelian gauge group : $$G$$.
  3. Fermions are sections of $$(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}\_ \otimes V_{\tilde{R}})$$. $$R$$ and $$\tilde{R}$$ are not isomorphic; their failure to be isomorphic explains why the light fermions are light.

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.


Eric Weinstein suggested several alterations:

  • In (ii), “vector bundle X” should be changed to "principal G-bundle".
  • Also in (ii), “nonabelian gauge group G” should be changed to "nonabelian structure group G".
  • In (iii), <math>\ R</math> and <math>\tilde R</math> should be (complex) linear representations of G and so they are not equivalent.
  • He mentioned that some info was not required, and that higgs is remarkably absent.

Eric Weinstein (update)

If one wants to summarise our knowledge of physics in the briefest possible terms, there are three really fundamental observations:

  1. Spacetime is a pseudo-Riemannian manifold : $$M$$, endowed with a metric tensor and governed by geometrical laws.
  2. Over $$M$$ is a principal bundle : $$P_{G}$$, with a non-abelian structure group : $$G$$.
  3. Fermions are sections of $$(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}\_ \otimes V_{\bar{R}})$$. $$R$$ and $$\bar{R}$$ are not isomorphic; their failure to be isomorphic explains why the light fermions are light.
  4. Add something about Higgs

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.