ConceptHut

Joined 5 February 2020
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TEST
SANDBOXING BELOW LINE


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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].


[[file:The-graph.png|600px]]
[[file:The-graph.png|600px]]


Eric Weinstein suggested several alterations, that have been included above:
<blockquote>
 
Edward Witten (original)
 
If one wants to summarise our knowledge of physics in the briefest possible terms, there are three really fundamental observations:
 
# [https://en.wikipedia.org/wiki/Spacetime Spacetime] is a [https://en.wikipedia.org/wiki/Pseudo-Riemannian_manifold pseudo-Riemannian manifold] : $$M$$, endowed with a [[metric tensor]] and governed by [https://en.wikipedia.org/wiki/Geometry geometrical laws].
# Over $$M$$ is a [https://en.wikipedia.org/wiki/Principal_bundle principal bundle] : $$P_{G}$$, with a [https://en.wikipedia.org/wiki/Non-abelian_group non-abelian structure group] : $$G$$.
# [https://en.wikipedia.org/wiki/Fermion Fermions] are sections of $$(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}\_ \otimes V_{\bar{R}})$$. $$R$$ and $$\bar{R}$$ are not [https://en.wikipedia.org/wiki/Isomorphism isomorphic]; their failure to be isomorphic explains why the light fermions are light.
# Add something about Higgs
 
All of this must be supplemented with the understanding that the geometrical laws obeyed by the metric tensor, the [https://en.wikipedia.org/wiki/Introduction_to_gauge_theory gauge fields], and the fermions are to be interpreted in [https://en.wikipedia.org/wiki/Quantum_mechanics quantum mechanical] terms.
</blockquote>
 
 
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.
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* 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.


This is a modified version of the paragraph by Edward Witten as [https://twitter.com/EricRWeinstein/status/928296366853328896?s=20 posted by Eric via Twitter].
<blockquote>
 
Eric Weinstein (update)


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


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