Difference between revisions of "Graph, Wall, Tome"

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6 bytes added ,  08:09, 30 January 2020
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== The Graph ==
== The Graph ==
The '''paragraph''' by Edward Witten as [https://twitter.com/EricRWeinstein/status/928296366853328896?s=20 posted by Eric via Twitter].
[[file:The-graph.png]]
However, there are 3 flaws with it:
* 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.
=== Expansion ===
Converted to text and re-written according to 'flaws'


<blockquote>
<blockquote>
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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.
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>
</blockquote>
=== Origin ===
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].
[[file:The-graph.png|300px]]
Eric Weinstein suggested 3 alterations, that have been included above.:
* 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.


== The Wall ==
== The Wall ==
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