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| SANDBOXING BELOW LINE
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| [[Russel Conjugations Rewrite]]
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| Russel Conjugations
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| * Adding fuel to the fire
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| ---
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| == The Graph ==
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| 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].
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| [[file:The-graph.png|600px]]
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| <blockquote>
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| '''Edward Witten (original)'''
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| If one wants to summarize our knowledge of physics in the briefest possible terms, there are three really fundamental observations:
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| # [https://en.wikipedia.org/wiki/Spacetime Spacetime] is a [https://en.wikipedia.org/wiki/Pseudo-Riemannian_manifold pseudo-Riemannian manifold] : <math>M</math>, endowed with a [[metric tensor]] and governed by [https://en.wikipedia.org/wiki/Geometry geometrical laws].
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| # Over <math>M</math> is a [https://en.wikipedia.org/wiki/Vector_bundle vector bundle] : <math>X</math>, with a [https://en.wikipedia.org/wiki/Non-abelian_group non-abelian] [https://en.wikipedia.org/wiki/Gauge_theory gauge group] : <math>G</math>.
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| # [https://en.wikipedia.org/wiki/Fermion 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 [https://en.wikipedia.org/wiki/Isomorphism isomorphic]; their failure to be isomorphic explains why the light fermions are light.
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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.
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| </blockquote>
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| Eric Weinstein suggested several alterations:
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| * In (ii), βvector bundle Xβ should be changed to "principal G-bundle".
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| * Also in (ii), βnonabelian gauge group Gβ should be changed to "nonabelian structure group G".
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| * In (iii), <math>\ R</math> and <math>\tilde R</math> should be (complex) linear representations of G and so they are not equivalent.
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| * He mentioned that some info was not required, and that higgs is remarkably absent.
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| <blockquote>
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| '''Eric Weinstein (update)'''
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| If one wants to summarise our knowledge of physics in the briefest possible terms, there are three really fundamental observations:
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| # [https://en.wikipedia.org/wiki/Spacetime Spacetime] is a [https://en.wikipedia.org/wiki/Pseudo-Riemannian_manifold pseudo-Riemannian manifold] : <math>M</math>, endowed with a [[metric tensor]] and governed by [https://en.wikipedia.org/wiki/Geometry geometrical laws].
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| # Over <math>M</math> is a [https://en.wikipedia.org/wiki/Principal_bundle principal bundle] : <math>P_{G}</math>, with a [https://en.wikipedia.org/wiki/Non-abelian_group non-abelian] [https://en.wikipedia.org/wiki/Fiber_bundle#Structure_groups_and_transition_functions structure group] : <math>G</math>.
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| # [https://en.wikipedia.org/wiki/Fermion Fermions] are sections of <math>(\hat{S}_{+} \otimes V_{R}) \oplus (\hat{S}\_ \otimes V_{\bar{R}})</math>. <math>R</math> and <math>\bar{R}</math> are not [https://en.wikipedia.org/wiki/Isomorphism isomorphic]; their failure to be isomorphic explains why the light fermions are light.
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| # Add something about Higgs
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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.
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| </blockquote>
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