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Editing the Graph: Difference between revisions
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Though the original | Though the original Graph aptly describes our physical knowledge, there are some minor alterations and additions to be made for it to wholly capture the current state of physics. | ||
Eric Weinstein suggested several alterations, listed below: | Eric Weinstein suggested several alterations, listed below: | ||
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== Edited Graphs == | == Edited Graphs == | ||
Below are modified versions of the Graph: | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width: 600px; overflow:auto;"> | |||
<div style="font-weight:bold;line-height:1.6;">Edited Graph Version 2</div> | |||
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<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 four really fundamental observations: | |||
1. Space-time is a pseudo-Riemannian manifold `M`, endowed with a metric tensor and governed be geometrical laws | |||
2. Over `M` is a principal bundle with a nonabelian structure group `G`. | |||
3. Fermions are sections of `(\hat{S}_+ \otimes V_R) \oplus (\hat{S}_- \otimes V_{\tilde{R}})`. `R` and `\tilde{R}` are complex linear representations of `G` and thus are not isomorphic. Their failure to be isomorphic explains why the light fermions are light. | |||
4. Yukawa couplings between the fermion field and the Higgs field endow fermions with the property of mass. Massive bosons also acquire their mass through this Higgs mechanism. | |||
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. | |||
</blockquote> | |||
</div> | |||
</div> | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width: 600px; overflow:auto;"> | <div class="toccolours mw-collapsible mw-collapsed" style="width: 600px; overflow:auto;"> | ||
<div style="font-weight:bold;line-height:1.6;">Edited Graph Version 1</div> | <div style="font-weight:bold;line-height:1.6;">Edited Graph Version 1</div> | ||